Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EVALUATION OF NEW CLASS OF LAPLACE-TYPE DOUBLE INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTIONS

  • INSUK KIM (Department of Mathematics Education, Wonkwang University) ;
  • JOOHYUNG KIM (Department of Mathematics Education, Wonkwang University)
  • Received : 2025.08.06
  • Accepted : 2025.11.28
  • Published : 2026.03.30
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Abstract

Motivated essentially by the research paper of Kim, et al. [New Laplace transforms of Kummer's confluent hypergeometric functions, Math. Comput. Modelling, 55, 1068-1071, (2012)], the main purpose of this paper is to evaluate 87 new of Laplace-type double integrals involving generalized hypergeometric functions, presented in three general results. The results established in this paper are obtained with the help of the generalizations of classical summation theorems due to Watson, Dixon and Whipple. A few interesting special cases have also been given.

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Acknowledgement

This work of Insuk Kim is supported by Wonkwang University in 2025.

References

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