Title of article :
Some new identities on the ApostolBernoulli polynomials of higher order derived from Bernoulli basis
Author/Authors :
Bagdasaryan ، Armen - American University of Middle East , Araci ، Serkan - Hasan Kalyoncu University , Acikgoz ، Mehmet - University of Gaziantep , He ، Yuan - Kunming University of Science and Technology
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.
Keywords :
Generating function , Bernoulli polynomials of higher order , Euler polynomials of higher order , Hermite polynomials , Apostol , Bernoulli polynomials of higher order , Apostol , Euler polynomials of higher order , identities.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
