The main objective of this paper is to introduce and investigate two new classes of generalized Apostol-Bernoulli polynomials Bn[m-1,?](x;c,?;?) and Apostol-Euler polynomials ?n[m-1,?](x;c,?;?). 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.
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Author Name: Burak Kurt
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Keywords: Bernoulli polynomials and numbers, Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Generalized Apostol-Bernoulli polynomials
ISSN: 2333-1100
EISSN: 2333-1232
EOI/DOI: 10.12691/tjant-1-1-11
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