Title
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
Abstract
In this paper, we present a further investigation for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish some new identities involving the products of the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Many of the results presented here are the corresponding generalizations of some known formulas on the classical Bernoulli polynomials and the classical Genocchi polynomials.
Year
DOI
Venue
2015
10.1016/j.amc.2015.03.132
Applied Mathematics and Computation
Keywords
Field
DocType
Apostol–Bernoulli polynomials,Apostol–Bernoulli numbers,Apostol–Genocchi polynomials,Apostol–Genocchi numbers,Convolution formulas,Recurrence relations
Wilson polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Algebra,Mathematical analysis,Macdonald polynomials,Gegenbauer polynomials,Discrete orthogonal polynomials,Hahn polynomials,Difference polynomials,Mathematics
Journal
Volume
Issue
ISSN
262
C
0096-3003
Citations 
PageRank 
References 
0
0.34
12
Authors
4
Name
Order
Citations
PageRank
Yuan He100.34
Serkan Araci275.87
H.M. Srivastava330876.66
Mehmet Açikgöz411.38