On the apostol-bernoulli polynomials
Copyright policy )On the apostol-bernoulli polynomials
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.
- Jiaozuo University China (People's Republic of)
Apostol-Bernoulli numbers, Lerch functional equation, Bernoulli polynomials, stirling numbers of the second kind, bernoulli polynomials, Hurwitz and Lerch zeta functions, apostol-bernoulli numbers, Hurwitz zeta function, Gaussian hypergeometric functions, Stirling numbers of the second kind, apostol-bernoulli polynomials, hurwitz zeta functions, Classical hypergeometric functions, \({}_2F_1\), bernoulli numbers, gaussian hypergeometric functions, Apostol-Bernoulli polynomials, QA1-939, lerch functional equation, Bernoulli and Euler numbers and polynomials, Mathematics, primary: 11b68, secondary: 33c05, 11m35, 30e20, Bernoulli numbers
Apostol-Bernoulli numbers, Lerch functional equation, Bernoulli polynomials, stirling numbers of the second kind, bernoulli polynomials, Hurwitz and Lerch zeta functions, apostol-bernoulli numbers, Hurwitz zeta function, Gaussian hypergeometric functions, Stirling numbers of the second kind, apostol-bernoulli polynomials, hurwitz zeta functions, Classical hypergeometric functions, \({}_2F_1\), bernoulli numbers, gaussian hypergeometric functions, Apostol-Bernoulli polynomials, QA1-939, lerch functional equation, Bernoulli and Euler numbers and polynomials, Mathematics, primary: 11b68, secondary: 33c05, 11m35, 30e20, Bernoulli numbers
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