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Difference equations of q-Appell polynomials

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
245
Identifiers
DOI: 10.1016/j.amc.2014.07.107
Keywords
  • Q-Appell Polynomials
  • Lowering Operators
  • Q-Bernoulli Polynomials
  • Q-Euler Polynomials
  • Q-Genocchi Polynomials
  • Q-Hermite Polynomials

Abstract

Abstract In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known classical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for q-Hermite polynomials, as special cases of q-Appell polynomials.

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