Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NEW CLASS OF INTEGRALS INVOLVING HYPERGEOMETRIC FUNCTION

  • Arjun K. Rathie (Department of Mathematics Government Dungar College M. DB. S. University Bikaner-334001, Rajasthan, India) ;
  • Choi, June-Sang (Department of Mathematics Government Dungar College M. DB. S. University Bikaner-334001, Rajasthan, India) ;
  • Vishakha Nagar (Department of Mathematics Government Dungar College M. DB. S. University Bikaner-334001, Rajasthan, India)
  • Published : 2000.01.01
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Abstract

The aim of this research is to provide twenty five integrals involving hypergeometric function in the form of a single integral. Fifty two interesting integrals follow as special cases of our main findings. These results are obtained with the help of generalized Watson's theorem on the sum of a $_3$F$_2$ recently obtained by Lavoie, Grondin and Rathie. The integrals given in this paper are simple, interesting and easily established, and they may be useful.

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References

  1. Indian J. Math. v.34 no.1 Generalizations of Watson's theorem on the sum of a ₃F₂ J. L. Lavoie;F. Grondin;A. K. Rathie
  2. Math. MacRobert v.142 Beta fuction formulae and integrals involving E-functions T. M. MacRobert
  3. Special Fuctions E. D. Rainville
  4. Ann. Univ. Timisoara Ser. Stiint. Mat. v.28 On a new class of integrals involving hypergeometric fuction G. Sharma;A. K. Rathie
  5. Soochow J. Math. v.18 A new class of integrals involving hypergeometric fuction and the H-function A. K. Rathie