On series containing products of Legendre polynomials

Mathematical Notes

Volumn 80, Issue 1-2, 2006, Pages 167-174

  Baranov, A S ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

Conditionally converging series; Elliptic integral; Legendre polynomial

Indexed keywords

EID: 33747461055     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11006-006-0124-5     Document Type: Article

References (7)

1. V. A. Antonov, E. I. Timoshkova, and K. V. Kholoshevnikov, An Introduction to Theory of Newton's Potential [in Russian], Nauka, Moscow, 1988.
2. B. P. Kondrat'ev, The Potential Theory and Equilibrium Figures [in Russian], Institut Komp'yutrenykh Issledovanii, Moscow-Izhevsk, 2003.
3. P. K. Suetin, Classical Orthogonal Polynomials [in Russian], Nauka, Moscow, 1979.
4. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York, 1968; Russian transl.: Nauka, Moscow, 1977.
5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products [in Russian], Nauka, Moscow, 1971; English transl.: Academic Press, New York-London, 1994.
6. H. Bateman and A. Erdélyi, Higher Transcendental Functions, vol. 3: Elliptic and Modular Functions. Lame and Mathieu Functions, McGraw-Hill, New York-Toronto-London, 1955; Russian transl.: Nauka, Moscow, 1967.
7. G. H. Hardy, Ramanujan: Twelve Lectures on Subjects Suggested by his Life and Work, Chelsea Publ. Co., New York, 1959; Russian transl.: Institut Komp'yutrenykh Issledovanii, Moscow, 2002.