Answers are grounded in this paper and cite their sources.
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.
No takes yet. Share an insight, caveat, or question.
Qiu-Ming Luo (2004) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: