Inverse transforms of products of Legendre transforms
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- by R. V. Churchill and C. L. Dolph PDF
- Proc. Amer. Math. Soc. 5 (1954), 93-100 Request permission
References
- C. J. Tranter, Integral Transforms in Mathematical Physics, Methuen & Co., Ltd., London; John Wiley & Sons, Inc., New York, N. Y., 1951. MR 0042542
- C. J. Tranter, Legendre transforms, Quart. J. Math. Oxford Ser. (2) 1 (1950), 1–8. MR 35876, DOI 10.1093/qmath/1.1.1
- R. V. Churchill, Integral transforms and boundary value problems, Amer. Math. Monthly 59 (1952), 149–155. MR 46547, DOI 10.2307/2308185 E. W. Hobson, Theory of spherical and ellipsoidal harmonics, Cambridge University Press, 1931, p. 329. T. M. MacRobert, Spherical harmonics, Dutton, 1927, p. 138.
- Ruel V. Churchill, Operational mathematics, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. 2nd ed. MR 0108696 E. W. Hobson, Theory of functions of a real variable, Cambridge University Press, 1927, pp. 473-537.
- John P. Vinti, Note on a series of products of three Legendre polynomials, Proc. Amer. Math. Soc. 2 (1951), 19–23. MR 43266, DOI 10.1090/S0002-9939-1951-0043266-1 R. V. Churchill and C. L. Dolph, Inverse transforms of products of Legendre integral transforms, Bull. Amer. Math. Soc. Abstract 58-6-610.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 93-100
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0062872-4
- MathSciNet review: 0062872