Generating functions for Jacobi and Laguerre polynomials
HTML articles powered by AMS MathViewer
- by H. M. Srivastava
- Proc. Amer. Math. Soc. 23 (1969), 590-595
- DOI: https://doi.org/10.1090/S0002-9939-1969-0249694-7
- PDF | Request permission
References
- J. W. Brown, On zero type sets of Laguerre polynomials, Duke Math. J. 35 (1968), 821–823. MR 234027
- L. Carlitz, Some generating functions for Laguerre polynomials, Duke Math. J. 35 (1968), 825–827. MR 240351
- L. Carlitz, A bilinear generating function for the Jacobi polynomials, Boll. Un. Mat. Ital. (3) 18 (1963), 87–89. MR 0153880
- T. W. Chaundy, An extension of hypergeometric functions. I, Quart. J. Math. Oxford Ser. 14 (1943), 55–78. MR 10749, DOI 10.1093/qmath/os-14.1.55
- Ervin Feldheim, Relations entre les polynomes de Jacobi, Laguerre et Hermite, Acta Math. 75 (1943), 117–138 (French). MR 12724, DOI 10.1007/BF02404102 G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Springer-Verlag, Berlin, 1925.
- H. M. Srivastava, An extension of the Hille-Hardy formula, Math. Comp. 23 (1969), 305–311. MR 243132, DOI 10.1090/S0025-5718-1969-0243132-4 G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, R. I., 1939.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 590-595
- MSC: Primary 33.40
- DOI: https://doi.org/10.1090/S0002-9939-1969-0249694-7
- MathSciNet review: 0249694