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On the apostol-bernoulli polynomials |
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| Authors: | Qiu-Ming Luo |
| Institution: | (1) Department of Mathematics, Jiaozuo University, 454003 Jiaozuo City, Henan, The People’s Republic of China |
| Abstract: | In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications. |
| Keywords: | Bernoulli numbers Bernoulli polynomials Apostol-Bernoulli numbers Apostol-Bernoulli polynomials Gaussian hypergeometric functions Stirling numbers of the second kind Hurwitz Zeta functions Lerch functional equation |
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