Open AccessOn the three families of extended Laguerre-based Apostol-type polynomials
Author(s) -
M. A. Pathan,
Waseem A. Khan
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-02-0019
Subject(s) - mathematics , laguerre polynomials , classical orthogonal polynomials , wilson polynomials , discrete orthogonal polynomials , orthogonal polynomials , pure mathematics , difference polynomials , hahn polynomials , macdonald polynomials , type (biology) , algebra over a field , gegenbauer polynomials , ecology , biology
In this paper, we introduce a new class of generalized extended Laguerre-based Apostol-type-Bernoulli, Apostol-type-Euler and Apostoltype-Genocchi polynomials. These Apostol type polynomials are used to connect Fubini-Hermite and Bell-Hermite polynomials and to find new representations. We derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions.