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On a new $q$-analogue of Appell polynomials

Published 24 Jan 2018 in math.CA | (1801.08859v1)

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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