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Another relation between π, e, γ and ζ(n)

  • Luis J. Boya
Article
  • 25 Downloads

Abstract

We obtain a relation between π, e, γ, ζ(n) and the triangular numbers based on a recursion formula forn!.

Keywords

Mathematical Constants Factorial Function 

Mathematics Subject Classifications

Primary 33B15 Secondary 11Y60 

Otra relación entre π, e, γ y ζ(n)

Resumen

Se obtiene una relación entre π, e, γ, ζ(n) y los números triangulares basada en una fórmula de recursión paran!.

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References

  1. [1]
    Abramowitz, M., (1965).Handbook of Mathematical Functions, p. 257, for. 6.1.41. Dover.Google Scholar
  2. [2]
    Sondow, J., (2005). Double Integrals for Euler’s Constant and ln 4/π and an Analog of Hadjicostas’ Formula,Am. Math. Mon.,112, 61–65.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    Whittaker, E. and Watson, G., (1962).Modern Analysis, Ch. 12. Cambridge U. P.,1902.Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Departamento de Física TeóricaUniversidad de ZaragozaZaragoza

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