On an Extension of Kummer's Second Theorem
The aim of this paper is to establish an extension of Kummer's second theorem in the form e-x/2F22[a,2+d;x2a+2,d;]=F10[-;x2/16a+3/2;]+((a/d-1/2)/(a+1))x F10[-;x2/16a+3/2;]+(cx2/2(2a+3))F10[-;x2/16a+5/2;], where c=1/a+11/2-a/d+a/d(d+1), d≠0,-1,-2,…. For d=2a, we recover Kummer's second...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/128458 |
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