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Zur Theorie der hypergeometrisdien Funktionen

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Literaturverzeichnis

  1. Vgl. z. B. J.Meixner, Die speziellen Funktionen der Mathematischen Physik. Handbuch der Physik, Band 1 (Springer 1956) S. 147–217.

  2. A. Leitner undJ. Meixner, Simultane Separierbarkeit von verallgemeinerten Schwingungsgleichungen. Arch. Math.10, 387–391 (1959).

    Google Scholar 

  3. J.Meixner und P. W.Schäfke, Mathieusche Funktionen und Sphäroidfunktionen. Springer 1954.

  4. L. Kuipers andB. Meulenbeld, On a generalization of Legendre's associated differential equation, I. Nederl. Akad. Wet., Proc., Ser. A,60, 436–443 (1957); On a generalization of Legendre's associated differential equation, II. Nederl. Akad. Wet., Proc, Ser. A,60, 444–450 (1957); Some properties of a class of generalized Legendre's associated functions. Nederl. Akad. Wet., Proc, Ser. A,61, 186–196 (1958); Linear transformations of generalized Legendre's associated functions. Nederl. Akad. Wet., Proc, Ser. A,61, 330–332 (1958); Generalized Legendre's associated functions for real values of the argument numerically less than unity. Nederl. Akad. Wet., Proc., Ser. A,61, 557–563 (1958); Related generalized Legendre's associated functions. Arch. Math.9, 394–400 (1958).

    Google Scholar 

  5. H. Bateman, Certain definite integrals connected with the Legendre and Bessel functions. Mess. Math.33, 182–188 (1904); A Generalisation of the Legendre Polynomial. Proc. London Math. Soc., II. Ser.3, 111–123 (1905); s. auch G. N.Watson, Theory of Bessel Functions (Cambridge 1948) S. 370.

    Google Scholar 

  6. J. Meixner, Entwicklung eines Produktes zweier Kugelfunktionen mit verschiedenen Argumenten nach Kugelfunktionen. Arch. Math.1, 173–181 (1948/49).

    Google Scholar 

  7. H.Bateman, Partial Differential. Equations (Cambridge 1952) S. 392 ff.

  8. W.N. Bailey, Some Infinite Integrals involving Bessel Functions. Proc. London Math. Soc, II. Ser.,40, 37–48 (1936); Some Infinite Integrals involving Bessel Funktions, III J. London Math. Soc.11,16–21 (1936).

    Google Scholar 

  9. B. E. S.Palero, Sobre La Ecuacion Diferencial (ie459-01). Memorias de Matern, del. Inst. “Jorge Juan”, Cons. Sup. Inverst. Cient. Madrid (1956).

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On leave from Department of Physics, Michigan State University, East Lansing, Mich., U.S.A.

Für Unterstützung bei dieser Arbeit will A. L. der John Simon Guggenheim Foundation seinen herzlichen Dank sagen.

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Leitner, A., Meixner, J. Zur Theorie der hypergeometrisdien Funktionen. Arch. Math 10, 452–459 (1959). https://doi.org/10.1007/BF01240827

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  • DOI: https://doi.org/10.1007/BF01240827

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