Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers. (English) Zbl 1140.11314

Summary: The main purpose of this paper is to construct generating functions of higher-order twisted \((h,q)\)-extension of Euler polynomials and numbers, by using \(p\)-adic, \(q\)-deformed fermionic integral on \(\mathbb Z_{p}\). By applying these generating functions, we prove complete sums of products of the twisted \((h,q)\)-extension of Euler polynomials and numbers. We also define some identities involving twisted \((h,q)\)-extension of Euler polynomials and numbers.


11B68 Bernoulli and Euler numbers and polynomials
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