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StieltjesGamma

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StieltjesGamma[n]
gives the Stieltjes constant gamma_n.
StieltjesGamma[n, a]
gives the generalized Stieltjes constant gamma_n(a).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • gamma_n/n! is the coefficient of (1-s)^n in the Laurent expansion of zeta(s) about the point s=1.
  • The gamma_n are generalizations of Euler's constant; gamma=gamma_0.
  • gamma_n(a)/n! is the coefficient of (1-s)^n in the Laurent expansion of zeta(s,a) about the point s=1.
  • For certain special arguments, StieltjesGamma automatically evaluates to exact values.
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