An integral representation of some hypergeometric functions
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 115-120
The Euler integral representation of the Gauss hypergeometric function is well known and plays $\sterling $########
###
\\% involves . We give a simple and direct proof of an Euler integral representation for a special class of # ( ( (0
6\copyright
7\sterling 8\copyright $###96 @BA other methods, are deduced from our integral formula.
| ${\S}$ |
$ a prominent role in the derivation of transformation identities and in the evaluation of , among other $
###| $)(0$ |
| $#########\{0}#### functions for . The values of certain and functions at , some of which can be derived using 13254 $ |
| $###$ |
Classification :
15A15
Keywords: 3F2 hypergeometric functions, general hypergeometric functions, integral representation
Keywords: 3F2 hypergeometric functions, general hypergeometric functions, integral representation
@article{ETNA_2006__25__a25,
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},
year = {2006},
volume = {25},
zbl = {1108.33005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a25/}
}
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/