On the generalisation of a formula of Rainville
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- Proc. Amer. Math. Soc. 17 (1966), 552-556 Request permission
References
- D. P. Banerjee, On some results involving “associated Legendre’s” functions, Boll. Un. Mat. Ital. (3) 16 (1961), 218–220. MR 0132221
- B. R. Bhonsle, On a series of Rainville involving Legendre polynomials, Proc. Amer. Math. Soc. 8 (1957), 10–14. MR 83588, DOI 10.1090/S0002-9939-1957-0083588-7
- È. L. Bloh, On an expansion of Bessel functions in a series of Legendre functions, Prikl. Mat. Meh. 18 (1954), 745–748 (Russian). MR 0066502
- Fred Brafman, Generating functions of Jacobi and related polynomials, Proc. Amer. Math. Soc. 2 (1951), 942–949. MR 45875, DOI 10.1090/S0002-9939-1951-0045875-2
- L. Carlitz, Note on a formula of Rainville, Bull. Calcutta Math. Soc. 51 (1959), 132–133. MR 116109
- S. K. Chatterjea, On a series of Carlitz involving ultraspherical polynomials, Rend. Sem. Mat. Univ. Padova 31 (1961), 294–300. MR 139772
- S. K. Chatterjea, Notes on a formula of Carlitz, Rend. Sem. Mat. Univ. Padova 31 (1961), 243–248. MR 124544
- Earl D. Rainville, Notes on Legendre polynomials, Bull. Amer. Math. Soc. 51 (1945), 268–271. MR 11750, DOI 10.1090/S0002-9904-1945-08330-X
- Earl D. Rainville, Special functions, The Macmillan Company, New York, 1960. MR 0107725
- S. K. Rangarajan, On “A new formula for $P^{m}_{m+n}\,(\textrm {cos}\,\alpha )$”, Quart. J. Math. Oxford Ser. (2) 15 (1964), 32–34. MR 159968, DOI 10.1093/qmath/15.1.32
- G. M. Yadao, A new formula for $P^{m}{}_{m+n}(\textrm {cos}$ $\alpha )$, Quart. J. Math. Oxford Ser. (2) 13 (1962), 29–30. MR 140734, DOI 10.1093/qmath/13.1.29
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 552-556
- MSC: Primary 33.27
- DOI: https://doi.org/10.1090/S0002-9939-1966-0203109-0
- MathSciNet review: 0203109