The double square root, Jacobi polynomials and Ramanujan's Master Theorem

Journal of Computational and Applied Mathematics

Volumn 130, Issue 1-2, 2001, Pages 337-344

  Boros, George ^a   Moll, Victor H ^b  

^a UNIVERSITY OF NEW ORLEANS   (United States)

^b Tulane University   (United States)

Author keywords

Double square root; Integrals; Rational functions; Snake oil method

Indexed keywords

MATHEMATICAL METHOD;

EID: 0035338061     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00372-6     Document Type: Article

References (8)

1. B. Berndt, Ramanujan's Notebooks, Part I, Springer, Berlin, 1985.
2. G. Boros, V. Moll, An integral with three parameters, SIAM Rev. 40 (1998) 972-980.
3. G. Boros, V. Moll, An integral hidden in Gradshteyn and Ryzhik, J. Comput. Appl. Math. 106 (1999) 361-368.
4. T.J. Bromwich, An Introduction to the Theory of Infinite Series, 2nd Edition, MacMillan, New York, 1926.
5. I.S. Gradshteyn, I.M. Ryzhik, in: A. Jeffrey (Ed.), Table of Integrals, Series and Products, 5th Edition, Academic Press, New York, 1994.
6. G.H. Hardy, Ramanujan, Chelsea Publishing Company, New York, 1978.
7. M. Petkovsek, H. Wilf, D. Zeilberger, A = B. A.K. Peters, Wellesley, MA, 1996.
8. A.P. Prudnikov, Yu A. Brychkov, O.I. Marichev, Integrals and Series, Translated by G.G. Gould, Gordon and Breach, New York, 1990.