Convergence Aspects for Q-Appell Functions I

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Authors

  • Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala ,SE

Keywords:

Q-Stirling Formula, NWA Q-Addition, Double Q-Hypergeometric Series, Convergence Region, Numerical Values.

Abstract

By using a certain q-Stirling approximation, we show that the convergence region for the second q-Appell function Φ2 is formally decided by a certain Nalli-Ward-AlSalam (NWA) q-addition. The convergence region for Φ1 is the same as for q = 1. In the process we investigate numerical aspects, including an absolute maximum, of the NWA q-addition of two letters.