English

A family of Ramanujan-Orr formulas for $1/\pi$

Number Theory 2017-12-27 v4

Abstract

We use a variant of Wan's method to prove two Ramanujan-Orr type formulas for 1/π1/\pi. This variant needs to know in advance the formulas for 1/π1/\pi that we want to prove, but avoids the need of solving a system of equations.

Keywords

Cite

@article{arxiv.1501.06413,
  title  = {A family of Ramanujan-Orr formulas for $1/\pi$},
  author = {Jesús Guillera},
  journal= {arXiv preprint arXiv:1501.06413},
  year   = {2017}
}

Comments

Two typos in the formulas corrected. The addendum is not in the Journal reference. 9 pages, Integral Transforms and Special Functions (Published on line: March 19, 2015)