The Journal of the Indian Mathematical Society

Thomas Ernst ¹

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

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.

Keywords

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

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