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On a new $q$-analogue of Appell polynomials

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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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math.CO 1

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2025 1

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Deformed Bivariate $q$-Appell Polynomials

math.CO · 2025-05-28 · reject · novelty 5.0

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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  • Deformed Bivariate $q$-Appell Polynomials math.CO · 2025-05-28 · reject · none · ref 4 · internal anchor

    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.