Generalization of a summation formula due to Fox
By employing classical Gauss’s second summation theorem for the series 2F1, Fox established the following interesting and useful summation formula for the series 3F212 viz. 3F2α,β,γ;12α-m,12(β+γ+1);=Γ(α-m)Γ12β+12γ+12Γ(β)Γ(γ)2β+γ-2π∑r=0mmrΓ12β+12rΓ12γ+12r2rΓ(r+α-m) where m is a positive integer. The...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2013-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000461 |