논문KCI 등재
A new class of double integrals involving generalized hypergeometric functions
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The objective of this paper is to evaluate two double integrals involving generalized hypergeometric functions which are given in two unified forms and each of which contains 25 double integrals. The results are derived with the help of Edwards's double integral and the generalized Watson's summation theorem due to Lavoie et al..
Abstract
The objective of this paper is to evaluate two double integrals involving generalized hypergeometric functions which are given in two unified forms and each of which contains 25 double integrals. The results are derived with the help of Edwards's double integral and the generalized Watson's summation theorem due to Lavoie et al..
참고문헌 (7)
- W. N. Bailey, "Generalized Hypergeometric Series" (1964), Stechert Hafner
- J. Edwards, "A Treatise on the Integral Calculus with Applications, Examples and Problems, II" (1954), Chelsea Publishing Company
- J. L. Lavoie, "Generalizations of Watson's theorem on the sum of a 3F2", Indian J. Math, 34(2), pp.23~32 (1992)
- J. L. Lavoie, "Generalizations of Dixon's theorem on the sum of a 3F2", Math. Comput, 62, pp.267~276 (1994)
- J. L. Lavoie, "Generalizations of Whipple's theorem on the sum of a 3F2", J. Comput. Appl. Math, 72, pp.293~300 (1996)
- E. D. Rainville, "Special Functions" (1971), Chelsea Publishing Company
- H. M. Srivastava, "Zeta and q-Zeta Functions and Associated Series and Integrals" (2012), Elsevier Science Publishers
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