Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON AN INTEGRAL INVOLVING Ī-FUNCTION

  • D'Souza, Vilma (Department of Basic Science and Humanities A. J. Institute of Engineering and Technology) ;
  • Kurumujji, Shantha Kumari (Department of Basic Science and Humanities A. J. Institute of Engineering and Technology)
  • Received : 2021.02.01
  • Accepted : 2021.04.15
  • Published : 2022.01.31
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Abstract

In this paper, an interesting integral involving the Ī-function of one variable introduced by Rathie has been derived. Since Ī-function is a very generalized function of one variable and includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the Ī function of one variable to simpler special functions by suitably specializing the parameters. A few special cases of our main results are also discussed.

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References

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  4. A. K. Rathie, A new generalization of generalized hypergeometric functions, Matematiche (Catania) 52 (1997), no. 2, 297-310.