Pentagonal numbers in the Lucas sequence.
On the apostol-bernoulli polynomials
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.
Generalizations of Bernoulli numbers and polynomials.
Generalizations of Euler numbers and polynomials.
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