Some elegant approximations and asymptotic formulas of Ramanujan

Bruce C. Berndt; Ronald J. Evans

doi:10.1016/0377-0427(91)90104-R

Some elegant approximations and asymptotic formulas of Ramanujan

Bruce C. Berndt, Ronald J. Evans

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Three results from the unorganized pages of Ramanujan's second notebook are proved. The results provide asymptotic expansions and approximations for certain integrals and sums. They evince Ramanujan's extraordinary ability to discern beautiful and unexpected relationships.

Original language	English (US)
Pages (from-to)	35-41
Number of pages	7
Journal	Journal of Computational and Applied Mathematics
Volume	37
Issue number	1-3
DOIs	https://doi.org/10.1016/0377-0427(91)90104-R
State	Published - Nov 18 1991

Keywords

Laplace's theorem
Ramanujan's notebooks
Watson's lemma
asymptotic expansion
logarithmic integral

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Online availability

10.1016/0377-0427(91)90104-R

Library availability

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abstract = "Three results from the unorganized pages of Ramanujan's second notebook are proved. The results provide asymptotic expansions and approximations for certain integrals and sums. They evince Ramanujan's extraordinary ability to discern beautiful and unexpected relationships.",

keywords = "Laplace's theorem, Ramanujan's notebooks, Watson's lemma, asymptotic expansion, logarithmic integral",

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AU - Evans, Ronald J.

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KW - Ramanujan's notebooks

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KW - asymptotic expansion

KW - logarithmic integral

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Some elegant approximations and asymptotic formulas of Ramanujan

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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