A note on certain identities involving series of Legendre polynomials
Author:
H. M. Srivastava
Journal:
Quart. Appl. Math. 44 (1987), 691-696
MSC:
Primary 33A65
DOI:
https://doi.org/10.1090/qam/872821
MathSciNet review:
872821
Full-text PDF Free Access
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Additional Information
W. N. Bailey, Generalized hypergeometric series, Cambridge University Press, Cambridge, London and New York (1935)
- W. N. Bailey, The Generating Function of Jacobi Polynomials, J. London Math. Soc. 13 (1938), no. 1, 8–12. MR 1574535, DOI https://doi.org/10.1112/jlms/s1-13.1.8
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vols. 1, 2, McGraw-Hill, New York, Toronto and London (1953)
- I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, Academic Press, New York-London, 1965. Fourth edition prepared by Ju. V. Geronimus and M. Ju. Ceĭtlin; Translated from the Russian by Scripta Technica, Inc; Translation edited by Alan Jeffrey. MR 0197789
E. R. Hansen, A table of series and products, Prentice-Hall. Englewood Cliffs, New Jersey (1975)
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- V. Mangulis, Handbook of series for scientists and engineers, Academic Press, New York-London, 1965. MR 0194784
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- K. N. Srivastava, On triple series equations involving series of Jacobi polynomials, Proc. Edinburgh Math. Soc. (2) 15 (1967), 221–231. MR 213628, DOI https://doi.org/10.1017/S0013091500011755
W. N. Bailey, Generalized hypergeometric series, Cambridge University Press, Cambridge, London and New York (1935)
W. N. Bailey, The generating function of Jacobi polynomials, J. London Math. Soc. 13, 8–12 (1938)
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vols. 1, 2, McGraw-Hill, New York, Toronto and London (1953)
I. S. Gradshteyn and I. M. Ryzhik, Tables of integrals, series, and products, Academic Press, New York and London (1965)
E. R. Hansen, A table of series and products, Prentice-Hall. Englewood Cliffs, New Jersey (1975)
E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Chelsea Publishing Co., New York and London (1955)
H. L. Johnson, Some new identities for Legendre polynomials, Quart. Appl. Math. 41, 353–355 (1983)
T. M. MacRobert, Spherical harmonics, Third edition, Pergamon Press, Oxford and New York (1967)
W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and theorems for the special functions of mathematical physics, Third edition, Springer-Verlag, Berlin, New York and Heidelberg (1966)
V. Mangulis, Handbook of series for scientists and engineers, Academic Press, New York and London (1965)
H. M. Srivastava and H. L. Manocha, A treatise on generating functions, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane and Toronto (1984)
K. N. Srivastava, On triple series equations involving series of Jacobi polynomials, Proc. Edinburgh Math. Soc. (2) 15, 221–231 (1967)
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Article copyright:
© Copyright 1987
American Mathematical Society
