Some integrals in Ramanujan's lost notebook

Proceedings of the American Mathematical Society

Volumn 132, Issue 10, 2004, Pages 2983-2988

  Berndt, Bruce C ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644257149     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07430-1     Document Type: Article

References (10)

1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965. MR 34:8606
2. B. C. Berndt, Ramanujan's Notebooks, Part I, Springer-Verlag, New York, 1985. MR 86c:01062
3. B. C. Berndt, Ramanujan's Notebooks, Part II, Springer-Verlag, New York, 1989. MR 90b:01039
4. R. P. Boas and H. Pollard, Continuous analogues of series, Amer. Math. Monthly 80 (1973), 18-25. MR 47:3903
5. P. J. Forrester, Extensions of several summation formulae of Ramanujan using the calculus of residues, Rocky Mt. J. Math. 13 (1983), 557-572. MR 85i:40004
6. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed., Academic Press, San Diego, 1994. MR 94g:00008
7. K. S. Krishnan, On the equivalence of certain infinite series and the corresponding integrals, J. Indian Math. Soc. 12 (1948), 79-88. MR 10:530d
8. F. W. J. Olver, Asymptotics and Special Functions, Academic Press, New York, 1974. MR 55:8655
9. S. Ramanujan, Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957. MR 20:6340
10. S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa, New Delhi, 1988. MR 89j:01078