On a new $q$-analogue of Appell polynomials

P. Njionou Sadjang

On a new $q$-analogue of Appell polynomials

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arxiv 1801.08859 v1 pith:RR5GWXXY submitted 2018-01-24 math.CA

P. Njionou Sadjang This is my paper

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keywords analogueappellintroducedmainpolynomialsbernoullicharacterizationsconsequences

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abstract

A new $q$-analogue of Appell polynomial sequences and their generalizations are introduced and their main characterizations are proved. As consequences new $q$-analogue of Bernoulli and Euler polynomials and numbers is introduced, their main representations are given.

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Deformed Bivariate $q$-Appell Polynomials
math.CO 2025-05 reject novelty 5.0 of 10

This work introduces deformed bivariate q-Appell polynomials and derives many structural formulas, but a key characterization theorem contains an error that propagates into the examples.

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