REDUCIBILITY, MULTIBASIC EXPANSION AND INTEGRAL REPRESENTATION FOR BASIC APPELL FUNCTIONS

  • Received : 2005.05.01
  • Published : 2005.10.31

Abstract

We give bibasic expansion for basic Appell functions ${\Phi}^{(1)}$ and ${\Phi}^{(2)}$, and their integral representations. We also give a continued fraction representation for ${\Phi}^{(2)}$.