Certain generating funtion of generalized Apostol type Legendre-based polynomials

Authors

  • N.U. Khan
  • T. Usman
  • M. Aman

DOI:

https://doi.org/10.1285/i15900932v37n2p21

Keywords:

Hermite polynomials and their two variable extensions, generalized Apostol Bernoulli numbers and polynomials, generalized Apostol Euler numbers and polynomials, generalized Apostol Genocchi numbers and polynomials, Legendre polynomials and their two variable extensions, 0th order Tricomi function, generalized Apostol type Legendre-Based polynomials, summation formulae, symmetric identities

Abstract

In this paper, we aim to introduce a generating function for generalized Apostol type Legendre-Based polynomials which extends some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of higher order. By making use of the generating function method and some functional equations mentioned in the paper, we conduct a further investigation in order to obtain some implicit summation formulae and general symmetry identities for the generalized Apostol type Legendre-Based polynomials.

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Published

15-02-2018

Issue

Volume 37, Issue 2 (2017)

Section

Articoli

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