On Lommel and Bessel polynomials
HTML articles powered by AMS MathViewer
- by David Dickinson PDF
- Proc. Amer. Math. Soc. 5 (1954), 946-956 Request permission
References
- Fred Brafman, A set of generating functions for Bessel polynomials, Proc. Amer. Math. Soc. 4 (1953), 275–277. MR 54100, DOI 10.1090/S0002-9939-1953-0054100-X
- Mary Celine Fasenmyer, Some generalized hypergeometric polynomials, Bull. Amer. Math. Soc. 53 (1947), 806–812. MR 22276, DOI 10.1090/S0002-9904-1947-08893-5 J. Favard, Sur les polynomes de Tchebicheff, C.R. Acad. Sci. Paris vol. 200 (1935) pp. 2052-2053.
- Emil Grosswald, On some algebraic properties of the Bessel polynomials, Trans. Amer. Math. Soc. 71 (1951), 197–210. MR 53280, DOI 10.1090/S0002-9947-1951-0053280-2
- Wolfgang Hahn, Über Orthogonalpolynome mit drei Parametern, Deutsche Math. 5 (1940), 273–278 (German). MR 13467
- H. L. Krall and Orrin Frink, A new class of orthogonal polynomials: The Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), 100–115. MR 28473, DOI 10.1090/S0002-9947-1949-0028473-1 I. M. Sheffer, Note on functionally-orthogonal polynomials, Tôhoku Math. J. vol. 33 (1930) pp. 3-11. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939. E. C. Titchmarsh, The theory of functions, London, Oxford University Press, 1939.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746 E. T. Whittaker and G. N. Watson, A course in modern analysis, New York, Macmillan, 1943.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 946-956
- MSC: Primary 33.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0086897-8
- MathSciNet review: 0086897