Open AccessA new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials
Author(s) -
Waseem A. Khan
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.51845
Subject(s) - mathematics , hermite polynomials , pure mathematics , hypergeometric identity , generalized hypergeometric function , wilson polynomials , basic hypergeometric series , hypergeometric distribution , algebra over a field , classical orthogonal polynomials , hypergeometric function , orthogonal polynomials , hypergeometric function of a matrix argument
In this paper, we introduce new class of higher order hypergeometric Hermite-Bernoulli numbers and polynomials. We shall provide several properties of higher order hypergeometric Hermite-Bernoullipolynomials including summation formulae, sums of products identity, recurrence relations.