Paper Citation Record · LEDGER

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses

As of 23 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.09048.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.09048 v1

Coverage vector

measured 27 of 27 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T00:43:39.480584Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

27 of 27 outbound references displayed

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Outbound references

Observation f53a5b31-6ebb-405f-b238-1b6cc3329b1a · outbound

This paper cites Lam ´e, Examen des Diff´erentes M´ethodes Employ´ees Pour R´esoudre les Probl`emes de G´eom´etrie, Mme.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Lam ´e, Examen des Diff´erentes M´ethodes Employ´ees Pour R´esoudre les Probl`emes de G´eom´etrie, Mme

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T00:43:39.480584Z

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Observation e097b311-5bde-4c07-b252-d1eba9af41cf · outbound

This paper cites Gardner, Piet Hein’sSuperellipse, in Mathematical Carnival.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Gardner, Piet Hein’sSuperellipse, in Mathematical Carnival

Reference 2

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Observation 983940fd-3993-459e-a040-f84238174cf1 · outbound

This paper cites Grohn et al., CFD-DEM Simulation of Superquadric Cylindrical Particles in a Spouted Bed and a Rotor Granulator, Chemie Ingenieur Technik 95, 244–255 (2023).

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Grohn et al., CFD-DEM Simulation of Superquadric Cylindrical Particles in a Spouted Bed and a Rotor Granulator, Chemie Ingenieur Technik 95, 244–255 (2023)

Reference 3

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Observation 8541e9e8-c92a-4035-a5ad-c795c870d2af · outbound

This paper cites an unresolved cited work.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Unresolved cited work

Reference 4

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Observation aed41b02-8df3-4589-81f9-9d34711f13a9 · outbound

This paper cites Jammed packings of 3D superellipsoids with tunable packing fraction, contact number, and ordering.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Jammed packings of 3D superellipsoids with tunable packing fraction, contact number, and ordering

Reference 5

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Observation e0a870c0-1535-43a4-a58a-9eb310c0930a · outbound

This paper cites The Excluded Area of Superellipse Sector Particles.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses The Excluded Area of Superellipse Sector Particles

Reference 6

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Observation 5192b5fd-f7a4-4f62-a0ae-11e98ad73367 · outbound

This paper cites Properties of packings and dispersions of superellipse sector particles.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Properties of packings and dispersions of superellipse sector particles

Reference 7

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Observation 42f0f145-7945-443c-8592-88673dd490a3 · outbound

This paper cites Mizani, M.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Mizani, M

Reference 8

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Observation 9c96c59c-8f0b-43e3-8bae-ddd78b4584b9 · outbound

This paper cites an unresolved cited work.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Unresolved cited work

Reference 9

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Observation 9392e4b3-b641-4fe8-9892-6d334330f96c · outbound

This paper cites Dou et al., Ultra-Sharp Multimode Waveguide Bends Based on Superellipse Curves and Shallowly Etched Nanoslots Designed by an Intelligent Algorithm, IEEE Photonics Journal, 2024.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Dou et al., Ultra-Sharp Multimode Waveguide Bends Based on Superellipse Curves and Shallowly Etched Nanoslots Designed by an Intelligent Algorithm, IEEE Photonics Journal, 2024

Reference 10

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Observation e74f158b-5c50-448b-9926-48be565ee1fe · outbound

This paper cites Herraiz, H.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Herraiz, H

Reference 11

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Observation cad811f0-e388-4639-85b3-122f756295b8 · outbound

This paper cites Temperature dependence of the spontaneous magnetization of Ni2MnGa and other ferromagnets. The superellipse equation.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Temperature dependence of the spontaneous magnetization of Ni2MnGa and other ferromagnets. The superellipse equation

Reference 12

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Observation aee4849d-3188-400a-8750-b5aa11b8cb2c · outbound

This paper cites M ´endez and B.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses M ´endez and B

Reference 13

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Observation 6e6ff39f-5543-44ae-a677-e3ae975694ee · outbound

This paper cites M ´endez, M.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses M ´endez, M

Reference 14

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Observation 36a6a5e8-38e1-4b8f-b97a-17f0d379622f · outbound

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Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Unresolved cited work

Reference 15

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Observation 227c6302-ae14-4243-9b35-dfd890b6e882 · outbound

This paper cites an unresolved cited work.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Unresolved cited work

Reference 16

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Observation 127309ae-8ffd-4f50-a5e1-efb7bb672574 · outbound

This paper cites Farhadian and V.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Farhadian and V

Reference 17

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Observation 87710ff1-3e8f-45a5-87ad-ba7abfd40dec · outbound

This paper cites An Elementary Proof of a Remarkable Relation Between the Squircle and Lemniscate.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses An Elementary Proof of a Remarkable Relation Between the Squircle and Lemniscate

Reference 18

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Observation 121697ab-14b1-47a5-9ab8-36536df83fc7 · outbound

This paper cites Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics

Reference 19

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Observation 76e00aa0-d5cd-4dd0-981c-39bcd9b74f8f · outbound

This paper cites Gielis, A Generic Geometric Transformation that Unifies a Wide Range of Natural and Abstract Shapes, American Journal of Botany 90, 333–338 (2003).

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Gielis, A Generic Geometric Transformation that Unifies a Wide Range of Natural and Abstract Shapes, American Journal of Botany 90, 333–338 (2003)

Reference 20

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Observation c65cb1d4-64de-40b2-9dac-4b16ac800fcb · outbound

This paper cites ¨Ozdemir, E.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses ¨Ozdemir, E

Reference 21

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Observation 39814b01-4506-4da7-aa47-a59ef6d47343 · outbound

This paper cites Abbott, On the Perimeter of an Ellipse, The Mathematica Journal 11, 172–185 (2009).

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Abbott, On the Perimeter of an Ellipse, The Mathematica Journal 11, 172–185 (2009)

Reference 22

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Observation 16ce2172-182e-4879-9d63-aa4055bb7e34 · outbound

This paper cites On the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses On the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$

Reference 23

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Observation 98b9f36a-6424-4acc-8bbe-7a6fb18e8c6e · outbound

This paper cites Tanaka, Superellipse (Lam´e Curve), available athttps://fractional-calculus.com/ super_ellipse.pdf.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Tanaka, Superellipse (Lam´e Curve), available athttps://fractional-calculus.com/ super_ellipse.pdf

Reference 24

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Observation cd7718c7-dc64-40ff-99e2-d1b5ab0f6f28 · outbound

This paper cites an unresolved cited work.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Unresolved cited work

Reference 25

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Observation 8e9fcbb7-d50f-42e7-a5b4-85d4cd89c797 · outbound

This paper cites Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients

Reference 26

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Observation 8e490100-94ff-4396-8fa8-674280fdbf7c · outbound

This paper cites Abramowitz and I.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Abramowitz and I

Reference 27

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