On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression
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Carrie E. Finch, N. Saradha (2010)
Acta Arithmetica
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Thomas Ernst (2014)
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...