References
N. Ya. Vilenkin, “The matrix elements of irreducible unitary representations of a group of motions of the Lobachevskii space, and the generalized transformations of Fock-Mehler,” DAN SSSR, vol. 118, no. 2, 1958.
E. V. Hobson, The Theory of Spherical and Elliptical Functions [Russian translation], IL, Moscow, 1952.
N. N. Lebedev, Special Functions and Their Applications [in Russian], Fizmatgiz, Moscow-Leningrad, 1963.
E. C. Titchmarsh, Expansions of Eigenfunctions Connected with Second Order Differential Equations, Part I [Russian translation], IL, Moscow, 1960.
V. A. Fok, “On the expansion of an arbitrary function in an integral of Legendre functions with a complex index,” DAN SSSR, vol. 39, no. 7, 1943.
F. G. Mehler, Über eine mit den Kugel-und Zylinderfuktionen verwandte Funktion und ihre Anwendung in der Theorie der Elektrizitätsvertheilung, Math. Ann., vol. 18, 1881.
Author information
Authors and Affiliations
Additional information
Prikladnaya Mekhanika, Vol. 3, No. 5, pp. 45–49, 1967
Analogous results in another form have been obtained in the investigation by N. A. Belova and Ya. S. Uflyand (PMM, vol. 31, no. 1, 1967).
Rights and permissions
About this article
Cite this article
Ulitko, A.F. On a generalization of the integral transformation of Mehler-Fock. Soviet Applied Mechanics 3, 27–29 (1967). https://doi.org/10.1007/BF00885488
Issue Date:
DOI: https://doi.org/10.1007/BF00885488