scientific article; zbMATH DE number 6826125

zbMath1386.33015MaRDI QIDQ4601279

Jesús Guillera

Publication date: 15 January 2018

Full work available at URL: http://nzjm.math.auckland.ac.nz/index.php/More_Ramanujan--Orr_Formulas_for_1/pi

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

hypergeometric seriescomplete elliptic integralRamanujan series for \(1/\pi\)Legendre's relationOrr transformations

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Generalized hypergeometric series, ({}_pF_q) (33C20) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (3)

Special Hypergeometric Motives and Their L-Functions: Asai Recognition ⋮ A method for proving Ramanujan's series for \(1/\pi\) ⋮ q-Analogues of Guillera’s two series for π±2 with convergence rate 27 64

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