Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

DOUBLE INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

  • Kim, Joohyung (Department of Mathematics Education, Wonkwang University) ;
  • Kim, Insuk (Department of Mathematics Education, Wonkwang University)
  • Received : 2020.07.21
  • Accepted : 2020.11.30
  • Published : 2021.03.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper two interesting double integrals involving product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of known integrals involving hypergeometric functions recorded in the paper of Rathie et al. [6]. We also give several very interesting special cases.

Keywords

References

  1. Andrews, G.E., Askey, R. and Roy, R., Special Functions. In Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, UK, 1989.
  2. Bailey, W.N, Generalized Hypergeometric Series, Stechert-Hafner, New York, 1964.
  3. Edwards, J., A Treaties on the Integral Calculus with Applications, Examples and Problems, Vol. II, Chelsea Publishing Campany, New York, 1954.
  4. Prudnikov, A.P., Brychkov, Yu.A. and Marichev, O.I., More Special Functions Integrals and Series, vol. 3, Gordon and Breach Science Publishers, New York, 1990.
  5. Rainville, E.D., Special Functions, Macmillan Company, New York, (1960); Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
  6. Rathie, A.K., Choi, J., Kim, Y.S. and Chajer, G.C., On a new class of double integrals involving hypergeometric function, Kyungbook Math. J., 39 (1999), 293-302.
  7. Slater, L.J. Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, UK, 1966.