Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633760 | Applied Mathematics and Computation | 2009 | 14 Pages |
Abstract
Using some contiguous function relations for the classical Gauss hypergeometric series 2F1, we establish a number of new recursion formulas for the Appell functionsF2(Ï,α1,α2±n;β1,β2;x,y)andF2(Ï,α1,α2;β1,β2±n;x,y),wherenâN0â{0,1,2,â¦}=Nâª{0}.Some important applications of our results to the evaluation of radiation field integrals are discussed and a listing of some useful reduction (and transformation) formulas is provided.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sheldon B. Opps, Nasser Saad, H.M. Srivastava,