The Journal of the Indian Mathematical Society

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Convergence Aspects for Q-Appell Functions I


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

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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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  • Convergence Aspects for Q-Appell Functions I

Abstract Views: 231  |  PDF Views: 1

Authors

Thomas Ernst
Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden

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.