Reductions of a generalized incomplete gamma function, related kampé de feriét functions, and incomplete weber integrals

Rocky Mountain Journal of Mathematics

Volumn 30, Issue 2, 2000, Pages 704-714

  Miller, Allen R ^a  

^a NONE   (United States)

Author keywords

Generalizations of the incomplete gamma function; Integrals of Bessel functions; Kamp de F riet functions

Indexed keywords

EID: 0034347770     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1022009290     Document Type: Article

References (8)

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3. H. Exton and E.D. Krupnikov, A register of computer-oriented reduction identities for the Kampé de Feriet function, privately published, Novosibirsk, 1997.
4. Y.L. Luke, Integrals of Bessel functions, McGraw-Hill, New York, 1962.
5. A.R. Miller and I.S. Moskowitz, Incomplete Weber integrals of cylindrical functions, J. Franklin Inst. 328 (1991), 445-457.
6. A.R. Miller and I.S. Moskowitz, On certain generalized incomplete gamma functions, J. Comput. Appl. Math. 91 (1998), 179-190.
7. H.M. Srivastava and Per W. Karlsson, Multiple Gaussian hypergeometric series, Ellis Horwood, Chichester, 1985.
8. E.J.M. Veling, Comment on SIAM Review problem 92-15, SIAM Review 39 (1997), 787-789