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Some Relationships between the Generalized Apostol-Bernoulli and Apostol-Euler Polynomials

2016; Volume: 1; Issue: 1 Linguagem: Inglês

10.12691/tjant-1-1-11

2333-1232

Burak Kurt,

Advanced Combinatorial Mathematics

The main objective of this paper is to introduce and investigate two new classes of generalized Apostol-Bernoulli polynomials B n [ m-1, α ] (x;c,α;λ) and Apostol-Euler polynomials ε n [m-1, α ] (x;c,α;λ). In particular, we obtain addition formula for the new class of the generalized Apostol-Bernoulli polynomials. We also give some recurrence relations and Raabe relations for these polynomials.