%0 Journal Article
%T Certain generating funtion of generalized Apostol type Legendre-based polynomials
%A M. Aman
%A N.U. Khan
%A T. Usman
%J -
%D 2017
%R DOI Code: 10.1285/i15900932v37n2p21
%X 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
%K Hermite polynomials and their two variable extensions
%K generalized Apostol Bernoulli numbers and polynomials
%K generalized Apostol Euler numbers and polynomials
%K generalized Apostol Genocchi numbers and polynomials
%K Legendre polynomials and their two variable extensions
%K 0th order Tricomi function
%K generalized Apostol type Legendre-Based polynomials
%K summation formulae
%K symmetric identities
%U http://siba-ese.unisalento.it/index.php/notemat/article/view/18694