This version is not peer-reviewed
Hermite based Poly-Bernoulli Polynomials with a q-parameter
: Received: 19 February 2018 / Approved: 22 February 2018 / Online: 22 February 2018 (15:28:12 CET)
A peer-reviewed article of this Preprint also exists.
Journal reference: Advanced Studies in Contemporary Mathematics 2018, 28, 285-296
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give someof their basic properties including not only addition property, but also derivative properties and integralrepresentations. We also de.ne the Hermite based λ -Stirling polynomials of the second kind, and thenprovide some relations. Moreover, we derive several correlations and identities including the Hermite-Kampéde Fériet (or Gould-Hopper) family of polynomials, the Hermite based poly-Bernoulli polynomials with a qparameter and the Hermite based λ -Stirling polynomials of the second kind.
Hermite-Kampé de Fériet polynomials; Hermite Bernoulli polynomials; poly Bernoulli polynomials; Stirling numbers of second kind; Polylogarithm functions.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Readers' Comments and Ratings (0)