1 |
E. D. Rainville, Special Functions, Macmillan Company, New York, 1960;Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
|
2 |
M. A. Rakha and A. K. Rathie, Generalizations of classical summation theorems for the series and with applications, submitted for publication, 2010.
|
3 |
A. K. Rathie and J. Choi, Another proof of Kummer's second theorem, Commun. Korean Math. Soc. 13 (1998), 933-936.
|
4 |
A. K. Rathie and V. Nagar, On Kummer's second theorem involving product of generalized hypergeometric series, Le Math. (Catania) 50 (1995), 35-38.
|
5 |
H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston and London, 2001.
|
6 |
H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1985.
|
7 |
H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1984.
|
8 |
H. M. Srivastava and R. Panda, An integral representation for the product of two Jacobi polynomials, J. London Math. Soc. 12(2) (1976), 419-425.
|
9 |
R. Vidunas, A generalization of Kummer's identity, Rocky Mount. J. Math. 32 (2002), 919-935; also available at http://arxiv.org/abs/mathCA/005095.
DOI
ScienceOn
|
10 |
H. Exton, Multiple hypergeometric functions, Ellis Horwood, Chichester, UK, 1976.
|
11 |
J. L. Burchnall and T. W. Chaundy, Expansions of Appell's double hypergeomet-ric functions, Quart. J. Math. (Oxford ser.) 11 (1940), 249-270.
|
12 |
J. L. Burchnall and T. W. Chaundy, Expansions of Appell's double hypergeomet-ric functions (II), Quart. J. Math. (Oxford ser.) 12 (1941), 112-128.
|
13 |
H. Exton, On the reducibility of the Kampe de Feriet function, J. Comput. Appl. Math. 83 (1997), 119-121.
DOI
ScienceOn
|
14 |
P. W. Karlsson, Some reduction formulae for power series and Kampe de Feriet function, Proc. A. Kon, Nederl. Akad. Weten. 87 (1984), 31-36.
DOI
|
15 |
Y. S. Kim, On certain reducibility of Kampe de Feriet function, Honam Math. J. 31(2) (2009), 167-176.
과학기술학회마을
DOI
|
16 |
Y. S. Kim, M. A. Rakha, and A. K. Rathie, Generalization of Kummer's second theorem with applications, Comput. Math. Math. Phys. 50(3) (2010), 387-402.
DOI
|
17 |
Y. S. Kim, M. A. Rakha, and A. K. Rathie, Extensions of certain classical summation theorems for the series and with applications in Ramanujan's summations, Int. J. Math. Math. Sci. 2010, to appear.
|
18 |
J. L. Lavoie, F. Grondin, A. K. Rathie, and K. Arora, Generalizations of Dixon's theorem on the sum of a , Math. Comput. 62 (1994), 267-276.
|
19 |
E. D. Krupnikon, A Register of Computer-Oriented Reduction Identities for the Kampe de Feriet function, Novosibirsk, Russia, 1996.
|
20 |
J. L. Lavoie, F. Grondin, and A. K. Rathie, Generalizations of Watson's theorem on the sum of a , Indian J. Math. 34(2) (1992), 23-32.
|
21 |
J. L. Lavoie, F. Grondin, and A. K. Rathie, Generalizations of Whipple's theorem on the sum of a , J. Comput. Appl. Math. 72 (1996), 293-300.
DOI
ScienceOn
|
22 |
M. Milgram, On hypergeometric , Arxiv: math. CA/ 0603096, 2006.
|
23 |
P. Appell and J. Kampe de Feriet, Fonctions Hypergeometriques et Hyper-spheriques; Polynomes d'Hermite, Gauthier-Villars, Paris, 1926.
|
24 |
W. N. Bailey, Product of generalized hypergeometric series, Proc. London Math. Soc. (ser. 2) 28 (1928), 242-254.
|
25 |
W. N. Bailey, Generalized Hypergeometric Series, Stechert Hafner, New York, 1964.
|
26 |
S. Lewanowicz, Generalized Watson's summation formula for (1), J. Comput. Appl. Math. 86 (1997), 375-386.
DOI
ScienceOn
|
27 |
L. J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, London, and New York, 1966.
|
28 |
R. G. Buschman and H. M. Srivastava, Some identities and reducibility of Kampe de Feriet functions, Math. Proc. Cambridge Philos. Soc. 91 (1982), 435-440.
DOI
|