Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
Citation
Bagdasaryan, A., Araci, S., Acikgoz, M., & He, Y. (May 25, 2016). Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. Journal of Nonlinear Sciences and Applications, 9, 5, 2697-2704.Abstract
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, by utilizing this method, we also get formulas for the convolutions of Bernoulli and Euler polynomials in terms of Apostol-Bernoulli polynomials of higher order. (C) 2016 All rights reserved.
Source
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONSVolume
9Issue
5Collections
Related items
Showing items related by title, author, creator and subject.
-
Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Abdel-Aty, Mahmoud (MDPI, 2018-12)In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and ... -
A symmetric identity on the q-Genocchi polynomials of higher-order under third dihedral group D3
A?yüz E.; Acikgoz M.; Araci S. (Jangjeon Research Institute for Mathematical Sciences and Physics, 2015)In the present paper, we perform a further investigation for the q-Genocchi numbers and polynomials of higher order under third Dihedral group D3 and establish some closed formulae of the symmetric identities. We also ... -
ON HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (INST APPLIED MATHEMATICS, 2017)The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, ...