East Asian mathematical journal
- 제22권1호
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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
- Choi, June-Sang (Department of Mathematics, Dongguk University) ;
- Rathie, Arjun K. (Department of Mathematics, Government. P. G. College)
- 발행 : 2006.06.30
초록
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.
키워드