Some elegant approximations and asymptotic formulas of Ramanuj an

نویسندگان

  • Bruce C. Berndt
  • Ronald J. Evans
چکیده

Berndt, B.C. and R.J. Evans, Some elegant approximations and asymptotic formulas of Ramanujan, Journal of Computational and Applied Mathematics 37 (1991) 35-41. 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.

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تاریخ انتشار 2001