Analytical Properties of Touchard-Based Hybrid Polynomials via Operational Techniques Articles uri icon

publication date

  • May 2020

start page

  • 223

end page

  • 242

volume

  • 44

International Standard Serial Number (ISSN)

  • 0126-6705

Electronic International Standard Serial Number (EISSN)

  • 2180-4206

abstract

  • In this paper, the Touchard-based Laguerre-Gould-Hopper polynomials are introduced by using operational techniques. We investigate many properties of such polynomials. In particular, generating functions, series definitions, integral representations, and summation formulas are analyzed. Further, we derive some new identities satisfied by these polynomials by using umbral calculus methods.

keywords

  • touchard polynomial-based laguerre-gould-hopper; operational methods; generating functions