An approximation formula for Euler-Mascheroni's constant

• Pablo A. Panzone ^[1]
  1. [1] Universidad Nacional del Sur

     Universidad Nacional del Sur

     Argentina

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 57, Nº. 1, 2016, págs. 9-22
• Idioma: inglés
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• Resumen

  • A fast approximation formula for Euler–Mascheroni's constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for γ involves harmonic numbers, ln 2 and rational numbers whose denominators are powers of 2.