SOME ELEGANT APPROXIMATIONS AND ASYMPTOTIC FORMULAS OF RAMANUJAN
[摘要] 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.
[发布日期] 1991-11-18 [发布机构]
[效力级别] [学科分类]
[关键词] RAMANUJAN NOTEBOOKS;ASYMPTOTIC EXPANSION;WATSON LEMMA;LAPLACE THEOREM;LOGARITHMIC INTEGRAL [时效性]