Decomposition formulas associated with the Lauricella multivariable hypergeometric functions

Computers and Mathematics with Applications

Volumn 53, Issue 7, 2007, Pages 1119-1128

  Hasanov, Anvar ^a   Srivastava, H M ^b  

^a S YU YUNUSOV INSTITUTE OF THE CHEMISTRY OF PLANT SUBSTANCES   (Uzbekistan)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Confluent hypergeometric functions; Generalized hypergeometric function; Integral representations; Inverse pairs of symbolic operators; Lauricella hypergeometric functions; Multiple hypergeometric functions

Indexed keywords

COMPUTATIONAL GEOMETRY; INVERSE PROBLEMS; MATHEMATICAL OPERATORS;

CONFLUENT HYPERGEOMETRIC FUNCTIONS; GENERALIZED HYPERGEOMETRIC FUNCTION; HYPERGEOMETRIC FUNCTIONS; INTEGRAL REPRESENTATIONS; INVERSE PAIRS OF SYMBOLIC OPERATORS; LAURICELLA HYPERGEOMETRIC FUNCTIONS; MULTIPLE HYPERGEOMETRIC FUNCTIONS; OPERATIONAL REPRESENTATIONS;

MATHEMATICAL MODELS;

EID: 34248209144     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.07.007     Document Type: Article

References (12)

1. Srivastava H.M., and Karlsson P.W. Multiple Gaussian Hypergeometric Series (1985), Halsted Press, Ellis Horwood, Chichester John Wiley and Sons, New York, Chichester, Brisbane, Toronto, 1985
2. Lauricella G. Sulle funzioni ipergeometriche a più variabili. Rend. Circ. Mat. Palermo 7 (1893) 111-158
3. 2. J. Math. Anal. Appl. 302 (2005) 180-195
4. (r). Appl. Math. Lett. 13 1 (2000) 65-70
5. (r) and other multiple hypergeometric functions. Appl. Math. Lett. 19 (2006) 113-121
6. Burchnall J.L., and Chaundy T.W. Expansions of Appell's double hypergeometric functions. Quart. J. Math. Oxford Ser. 11 (1940) 249-270
7. Burchnall J.L., and Chaundy T.W. Expansions of Appell's double hypergeometric functions. II. Quart. J. Math. Oxford Ser. 12 (1941) 112-128
8. Chaundy T.W. Expansions of hypergeometric functions. Quart. J. Math. Oxford Ser. 13 (1942) 159-171
9. Singhal J.P., and Bhati S.S. Certain expansions associated with hypergeometric functions of n variables. Glasnik Mat. Ser. III 11 31 (1976) 239-245
10. Srivastava H.M. Some integrals representing triple hypergeometric functions. Rend. Circ. Mat. Palermo (2) 16 (1967) 99-115
11. Appell P., and Kampé de Fériet J. Fonctions Hypergéométriques et Hypersphériques. Polynômes d'Hermite (1926), Gauthier-Villars, Paris
12. Erdélyi A., Magnus W., Oberhettinger F., and Tricomi F.G. Higher Transcendental Functions vol. 1 (1953), McGraw-Hill, New York