Appell, P. Sur les fonctions hypergéométriques de plusieurs variables. Paris, France: Gauthier-Villars, 1925.Appell,
P. and Kampé de Fériet, J. Fonctions hypergéométriques
et hypersphériques: polynomes d'Hermite. Paris, France: Gauthier-Villars,
1926.Exton, H. Multiple
Hypergeometric Functions and Applications. Chichester, England: Ellis Horwood,
1976.Exton, H. "The Kampé de Fériet Function."
§1.3.2 in Handbook
of Hypergeometric Integrals: Theory, Applications, Tables, Computer Programs.
Chichester, England: Ellis Horwood, pp. 24-25, 1978.Exton, H. and
Krupnikov, E. D. A Register of Computer-Oriented Reduction Identities for
the Kampé de Fériet Function. Draft manuscript. Novosibirsk, Russia,
1998.Kampé de Fériet, J. La fonction hypergéométrique.
Paris, France: Gauthier-Villars, 1937.Nguyen Thanh Hai and Yakubovich,
S. B. The Double Mellin-Barnes Type Integrals and Their Applications to Convolution
Theory. Singapore: World Scientific, 1992. https://doi.org/10.1142/1425.Ragab,
F. J. "Expansions of Kampe De Feriet's Double Hypergeometric Function of
Higher Order." J. reine angew. Math.212, 113-119, 1963.Srivastava,
H. M., Karlsson, P. W. Multiple
Gaussian Hypergeometric Series. Chichester, England: Ellis Horwood, 1985.
as a special case. The Kampé
de Fériet function can represent derivatives of generalized
hypergeometric functions with respect to their parameters, as well as indefinite
integrals of two and three Meijer G-functions.
Exton and Krupnikov (1998) have derived a large collection of formulas involving
this function.
and 
,
where 
is the incomplete elliptic integral
of the second kind and 
is the incomplete elliptic
integral of the first kind, as well as
,
where 
is the incomplete elliptic integral
of the third kind (Exton and Krupnikov 1998, p. 1). Additional identities
are given by
