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Original Articles

Certain transformations and summations for generalized hypergeometric series with integral parameter differences

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Pages 67-77 | Received 30 Mar 2010, Accepted 14 May 2010, Published online: 06 Aug 2010

References

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  • Ki , H. and Kim , Y.-O. 2000 . On the zeros of some generalized hypergeometric functions . J. Math. Anal. Appl. , 243 : 249 – 260 .
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  • Miller , A. R. and Paris , R. B. Euler-type transformations for the generalized hypergeometric function (2010) . Zeitschrift angew. Math. Phys. (ZAMP) in press
  • A.R. Miller and R.B. Paris, Transformation formulas for the generalized hypergeometric function with integral parameter differences (2010), submitted for publication
  • Miller , A. R. and Paris , R. B. 2011 . A generalized Kummer-type transformation for the pFp(x) hypergeometric function . Canad. Math. Bull. , to appear
  • Miller , A. R. and Srivastava , H. M. 2010 . Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument . Integral Transforms Spec. Funct. , 21 ( 8 ) : 603 – 612 .
  • Prudnikov , A. P. , Brychkov , Yu. A. and Marichev , O. I. 1990 . Integrals and Series , Vol. 3 , New York : Gordon and Breach .
  • Rathie , A. K. and Pogány , T. K. 2008 . New summation formula for and a Kummer-type II transformation of 2F2(x) . Math. Commun. , 13 : 3 – 66 .

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