Affiliation:
1. National Research University “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”
2. Romanovskiy Institute of Mathematics, National Academy of Sciences; Ghent University
3. Tashkent State University of Economics
Abstract
By the aid of Appell, Humbert and Bessel functions, the integral representations for a Kamp´e de F´eriet function are found. The validity of integral representations for a Kamp´e de F´eriet function of general form are proved. Conditions, under which these representations are expressed in terms of products of two generalized hypergeometric functions are found. Examples, in which the integral representation of the Kamp´e de F´eriet function containing Appell, Humbert or Bessel functions, are identified.
Publisher
Chelyabinsk State University
Subject
General Physics and Astronomy,General Mathematics
Reference33 articles.
1. Bers L. Mathematical Aspects of Subsonic and Transonic Gas Dynamics. New York, Wiley, 1958.
2. Niukkanen A.W. Generalised hypergeometric series NF (x1; :::; xN) arising in physical and quantum chemical applications. Journal of Physics A: Mathematical and General, 1983, vol. 16, pp. 1813–1825.
3. Lohofer G. Theory of an electromagnetically deviated metal sphere. 1: Abcorbed power. SIAM Journal on Applied Mathematics, 1989, vol. 49, pp. 567–581.
4. Kampe de F´eriet J. Les fonctions hyperg´eom´etriques d’ordre sup´erieur ´a deux variables. Comptes rendus de l’Acad´emie des Sciences, 1921, vol. 173, pp. 401–404.
5. Burchnall J.L., Chaundy T.W. Expansions of Appell double hypergeometric functions (II). The Quarterly Journal of Mathematics, 1941, vol. 12, pp. 112–128. 6. Srivastava H.M., Panda R. An integral representation for the product of two Jacobi polynomials. Journal of the London Mathematical Society, 1976, vol. 12, no. 2, pp. 419–425.
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