Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900239 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
We show that there is a large class of Appell sequences {Pn(x)}n=0â for which there is a function F(s,x), entire in s for fixed x with Rex>0 and satisfying F(ân,x)=Pn(x) for n=0,1,2,â¦. For example, in the case of Bernoulli and Apostol-Bernoulli polynomials, F is essentially the Hurwitz zeta function and the Lerch transcendent, respectively. We study a subclass of these Appell sequences for which the corresponding special function has a form more closely related to the classical zeta functions, and give some interesting examples of these general constructions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona,