Geodesic
An integral representation of some hypergeometric functions
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 115-120.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The Euler integral representation of the Gauss hypergeometric function is well known and plays $\sterling $########$${\S}$$###$$ a prominent role in the derivation of transformation identities and in the evaluation of , among other $\sterling $###$\copyright \ddot $### "! ### applications. The general hypergeometric function has an integral representation where the integrand #$\copyright \\%'$$###$$)(0$\\% involves . We give a simple and direct proof of an Euler integral representation for a special class of # ( ( (0 $#########\{0}#### functions for . The values of certain and functions at , some of which can be derived using 13254 $6\copyright $###$7\sterling 8\copyright $###$$96 @BA other methods, are deduced from our integral formula.
Classification : 15A15
Keywords: 3F2 hypergeometric functions, general hypergeometric functions, integral representation 
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     author = {Driver, K.A. and Johnston, S.J.},
     title = {An integral representation of some hypergeometric functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {115--120},
     publisher = {mathdoc},
     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a25/}
}
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Driver, K.A.; Johnston, S.J. An integral representation of some hypergeometric functions. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 115-120. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a25/