East Asian mathematical journal
- Volume 22 Issue 1
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- Pages.71-77
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- 2006
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
QUADRATIC TRANSFORMATIONS INVOLVING HYPERGEOMETRIC FUNCTIONS OF TWO AND HIGHER ORDER
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Choi, June-Sang
(Department of Mathematics, Dongguk University)
;
- Rathie, Arjun K. (Department of Mathematics, Government. P. G. College)
- Published : 2006.06.30
Abstract
By applying various known summation theorems to a general transformation formula based upon Bailey's transformation theorem due to Slater, Exton has obtained numerous and new quadratic transformations involving hypergeometric functions of order greater than two(some of which have typographical errors). We aim at first deriving a general quadratic transformation formula due to Exton and next providing a list of quadratic formulas(including the corrected forms of Exton's results) and some more results.
Keywords
- Generalized hypergeometric series $_pF_q$;
- Summation formulas for $_pF_q$;
- Quadratic transformations