A Family of New q-Extensions of the Humbert Functions

Authors

  • H. M. Srivastava
  • Ayman Shehata

Keywords:

Quantum (or q-) calculus, Humbert’s function, q-Humbert functions, Generating functions, Recurrence and differential recurrence relations, Explicit representations

Abstract

By using the generating-function method as a starting point, the authors construct
several (presumably new) basic (or q-) extensions of the Humbert function. Various potentially
useful properties of these q-Humbert functions including (for example) explicit representations,
recurrence relations and differential recurrence relations are derived by applying the defining generating
functions.

Downloads

Published

12-04-2018

Issue

Vol. 4 No. 1

Section

Articles