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Paper Citation Record · LEDGER

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula

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Observation 15c073c1-a15d-4dfa-aac3-a6c7eee40b83 · outbound

This paper cites an unresolved cited work.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Unresolved cited work

Reference 1

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Observation ab036df8-b42b-46e8-aa61-b42502d31647 · outbound

This paper cites Barraquand and M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Barraquand and M

Reference 2

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Observation b7554bd2-bfdd-4c91-898a-4422610bdbd7 · outbound

This paper cites Beauduin, Old and new powerful tools for the normal ordering problem and noncommutative binomials , Enumer.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Beauduin, Old and new powerful tools for the normal ordering problem and noncommutative binomials , Enumer

Reference 3

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Observation 2d1fbcb6-b2be-48dc-aaff-ca06532e9bf0 · outbound

This paper cites Benaoum, h analogue of Newton ’s binomial formula , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Benaoum, h analogue of Newton ’s binomial formula , J

Reference 4

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Observation 00955406-0d95-4e8a-8045-eaafea0ac502 · outbound

This paper cites Benaoum, pq, hq-analogue of Newton ’s binomial formula , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Benaoum, pq, hq-analogue of Newton ’s binomial formula , J

Reference 5

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Observation b2753295-8602-44e8-8f08-2dfe7972b693 · outbound

This paper cites Benkart, S.A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Benkart, S.A

Reference 6

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Observation 01435f0c-8610-41c5-8c69-ecebc449ca50 · outbound

This paper cites Benkart, S.A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Benkart, S.A

Reference 7

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Observation 68c56164-953b-4c27-a4b3-5188730e40b1 · outbound

This paper cites Benkart, S.A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Benkart, S.A

Reference 8

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Observation c0c235cf-7b22-4b4b-b467-3a9d0f0e504a · outbound

This paper cites Berry, Diffraction of Light by Ultrasound , Academic Press (1966).

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Berry, Diffraction of Light by Ultrasound , Academic Press (1966)

Reference 9

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Observation 9af6f299-45b1-4b8e-96c7-b13551c3fce0 · outbound

This paper cites Blasiak and P.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Blasiak and P

Reference 10

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Observation 8b0336a7-0f73-4068-ba86-2d5fb5b23ebb · outbound

This paper cites Blumen, Two generalisations of the binomial theorem , Austral.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Blumen, Two generalisations of the binomial theorem , Austral

Reference 11

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Observation 23a5e962-d9af-4ebf-bec0-b0ef08f8d993 · outbound

This paper cites Burchnall, A note on the polynomials of Hermite , Q.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Burchnall, A note on the polynomials of Hermite , Q

Reference 12

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Observation da1411ee-4ef8-47ab-9438-469b40e11c30 · outbound

This paper cites Burde, On the matrix equation XA ´ AX “ X p, Linear Algebra Appl.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Burde, On the matrix equation XA ´ AX “ X p, Linear Algebra Appl

Reference 13

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Observation bed8ad95-cc3e-4f14-b79a-df3d546c472f · outbound

This paper cites Celeste, R.B.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Celeste, R.B

Reference 14

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Observation d550dca9-509f-4516-91a1-a5f6f1ba16dc · outbound

This paper cites Some operator identities related to $q-$Hermite polynomials.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Some operator identities related to $q-$Hermite polynomials

Reference 15

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Observation e3582e37-38d6-43ef-8fc8-5db9a4b4b6ab · outbound

This paper cites d’Ocagne, Sur une classe de nombres remarquables , Amer.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula d’Ocagne, Sur une classe de nombres remarquables , Amer

Reference 16

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Observation 089c51f2-dbe8-4a44-9d32-310fe412b77a · outbound

This paper cites de Médicis and P.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula de Médicis and P

Reference 17

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Observation b3412d6f-e035-43ee-8610-9125c08d2ef2 · outbound

This paper cites Dulucq, Un q-analogue des polynomes de Bessel.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Dulucq, Un q-analogue des polynomes de Bessel

Reference 18

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Observation 1adc4485-6e5e-475a-ba41-56006879b5a9 · outbound

This paper cites Duran, M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Duran, M

Reference 19

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Observation ba3b1ba2-d36a-4bfc-a308-2f1c90618642 · outbound

This paper cites Gaddis, Two-parameter analogs of the Heisenberg enveloping algebra , Commun.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Gaddis, Two-parameter analogs of the Heisenberg enveloping algebra , Commun

Reference 20

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Observation c43b1002-bf7b-436c-adc1-74eea4c8d490 · outbound

This paper cites Goldman and J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Goldman and J

Reference 21

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Observation 807061f8-06ba-460b-aafd-9801ec3e3860 · outbound

This paper cites Habib, A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Habib, A

Reference 22

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Observation 8b8b3a03-741c-4100-85f8-f352893db83a · outbound

This paper cites Hegazi and M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Hegazi and M

Reference 23

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Observation 3c622064-651f-46a6-8dfb-2e57eafc542d · outbound

This paper cites Ismail, The basic Bessel functions and polynomials , SIAM J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Ismail, The basic Bessel functions and polynomials , SIAM J

Reference 24

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Observation ecb38701-4c41-4987-a2b1-4a7771264832 · outbound

This paper cites Jia and Y.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Jia and Y

Reference 25

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Observation 374814ee-3924-4097-b1f2-d16d61a8e7e4 · outbound

This paper cites Katriel and M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Katriel and M

Reference 26

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Observation e78b5d10-7c1c-4a18-8b05-7c9c3c2716e3 · outbound

This paper cites Kirkman and L.W.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Kirkman and L.W

Reference 27

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Observation 3d3ab419-57ea-4268-a499-3f7e243d1385 · outbound

This paper cites Manin, Quantum Groups and Noncommutive Geometry , Centre de Recherches Mathématiques, Montréal (1988).

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Manin, Quantum Groups and Noncommutive Geometry , Centre de Recherches Mathématiques, Montréal (1988)

Reference 28

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Observation 12a0668a-52c0-466a-b277-fc8f259a78a2 · outbound

This paper cites Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities

Reference 29

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Observation 84949808-abee-41bc-9181-707a2d8dff2a · outbound

This paper cites Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. II: Interpretation in terms of rook placements.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. II: Interpretation in terms of rook placements

Reference 30

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source=pdf_text observed=2026-07-14T03:49:41.932205Z digest=sha256:e79b0bdd2a54f56a9f5ebba22988c8eb1de59f41a18ab9c4d60809ce7a03ed29

Observation e705af48-4fa5-422d-a549-5ec0d9cd765f · outbound

This paper cites Mansour, M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mansour, M

Reference 31

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Observation 0e76f11c-4817-407d-9bee-f151f3c4e958 · outbound

This paper cites Mansour and M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mansour and M

Reference 32

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Observation 10545275-8ce5-492e-ab6d-f9ee196423b1 · outbound

This paper cites Mansour, M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mansour, M

Reference 33

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Observation bce0a333-629b-4d83-91cc-ac31573fa9c6 · outbound

This paper cites Mansour and M.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mansour and M

Reference 34

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Observation 297960bc-a418-4b41-a8ee-5916297bbc70 · outbound

This paper cites Mason and D.C.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mason and D.C

Reference 35

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Observation 99510d37-88c3-42a6-bc0c-9473d652d4d1 · outbound

This paper cites Mikhailov, Ordering of some boson operator functions , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mikhailov, Ordering of some boson operator functions , J

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Observation f68c782f-a14f-41de-81a7-507b5f8b7657 · outbound

This paper cites Mikhailov, Normal ordering and generalized Stirling numbers , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Mikhailov, Normal ordering and generalized Stirling numbers , J

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Observation d6d85814-d729-4a82-a56c-f2919cee4b43 · outbound

This paper cites Ouahhabi and E.H.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Ouahhabi and E.H

Reference 38

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Observation 8e4349a0-0316-4865-b599-e520d84fb191 · outbound

This paper cites Oussi, A pp, qq-deformed recurrence for the Bell numbers , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Oussi, A pp, qq-deformed recurrence for the Bell numbers , J

Reference 39

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Observation cc71f4df-b902-43b1-a325-20539464aa05 · outbound

This paper cites Oussi, pp, qq-analogues of the generalized Touchard polynomials and Stirling numbers , Indag.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Oussi, pp, qq-analogues of the generalized Touchard polynomials and Stirling numbers , Indag

Reference 40

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Observation ba4d2f6f-5353-4443-adbd-52c022992dfc · outbound

This paper cites Oussi, A note on the pp, qq-derivative operator, Int.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Oussi, A note on the pp, qq-derivative operator, Int

Reference 41

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Observation d2a7839c-1db3-42a1-91b8-d73e8222410c · outbound

This paper cites Potter, On the latent roots of quasi-commutative matrices , Amer.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Potter, On the latent roots of quasi-commutative matrices , Amer

Reference 42

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Observation a017af22-ee12-4c97-a8e0-51df6aceb3a2 · outbound

This paper cites Povolotsky, On the integrability of zero-range chipping models with factorized steady states , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Povolotsky, On the integrability of zero-range chipping models with factorized steady states , J

Reference 43

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Observation e82414e7-e309-4abf-9cae-515c510dc257 · outbound

This paper cites Riahi, Wick ordering associated with the pp, qq-Gaussian white noise process , Complex Anal.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Riahi, Wick ordering associated with the pp, qq-Gaussian white noise process , Complex Anal

Reference 44

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Observation e3902cae-ea6b-4670-b37f-992b98f42317 · outbound

This paper cites Ricci and I.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Ricci and I

Reference 45

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Observation a9147e60-ce90-4a47-ad38-ef3598afb7cf · outbound

This paper cites Rosengren, A non-commutative binomial formula , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Rosengren, A non-commutative binomial formula , J

Reference 46

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Observation 2be4a44b-2852-473a-83eb-c8b6f88a81f3 · outbound

This paper cites Sack, Taylor’s theorem for shift operators , Philos.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Sack, Taylor’s theorem for shift operators , Philos

Reference 47

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Observation d4a21026-45d3-471c-80b0-7ae5efd1829a · outbound

This paper cites Njionou Sadjang, On pp, qq-Appell polynomials , Anal.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Njionou Sadjang, On pp, qq-Appell polynomials , Anal

Reference 48

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Observation 124ec175-2d35-49ab-b1f0-8f823075e414 · outbound

This paper cites Schork, Recent developments in combinatorial aspects of normal ordering , Enumer.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Schork, Recent developments in combinatorial aspects of normal ordering , Enumer

Reference 49

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Observation aec4ec9e-a719-4af6-a8fd-6d9875940cb4 · outbound

This paper cites Schork, On Stirling and Bell numbers of order 1{2, Filomat 38 (2024), 609–619.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Schork, On Stirling and Bell numbers of order 1{2, Filomat 38 (2024), 609–619

Reference 50

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Observation 11f66e39-8a1e-4c38-8551-7ab31a3c2747 · outbound

This paper cites Schützenberger, Une interprétation de certains solutions de l’équation fonctionnelle: F px ` yq “ F pxqF pyq, C.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Schützenberger, Une interprétation de certains solutions de l’équation fonctionnelle: F px ` yq “ F pxqF pyq, C

Reference 51

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Observation cec49b41-ee60-4b1c-86ab-4877b0d815ff · outbound

This paper cites Varvak, Rook numbers and the normal ordering problem , J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Varvak, Rook numbers and the normal ordering problem , J

Reference 52

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Observation e6237336-2890-45e6-8ae4-2d5ea37dad43 · outbound

This paper cites Viskov, On the R.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Viskov, On the R

Reference 53

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Observation 8cb58376-f023-4811-8157-dd37d55f9aaa · outbound

This paper cites Viskov, Expansion in powers of a noncommutative binomial , Proc.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Viskov, Expansion in powers of a noncommutative binomial , Proc

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Observation bb1ce512-e603-441a-acb6-9eb6248af230 · outbound

This paper cites Viskov, An approach to ordering , Dokl.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Viskov, An approach to ordering , Dokl

Reference 55

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Observation 1e1f533f-7a07-42fc-8092-e4a000f2765e · outbound

This paper cites Wood, R.A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Wood, R.A

Reference 56

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Observation 17fac87d-759b-43ba-9fe6-827628262606 · outbound

This paper cites Yang and Z.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Yang and Z

Reference 57

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Observation 4de14110-f700-4bf0-aea1-0ba6be0eac55 · outbound

This paper cites Yasmin and A.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Yasmin and A

Reference 58

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Observation 2769c59c-d5ca-48ed-b3b1-419e288f9538 · outbound

This paper cites Zhang and J.

Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula Zhang and J

Reference 59

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