StieltjesGamma

StieltjesGamma[n]

gives the Stieltjes constant .

StieltjesGamma[n,a]

gives the generalized Stieltjes constant .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • is the coefficient of in the Laurent expansion of about the point .
  • The are generalizations of Euler's constant; .
  • is the coefficient of in the Laurent expansion of about the point .
  • For certain special arguments, StieltjesGamma automatically evaluates to exact values.
  • StieltjesGamma can be evaluated to arbitrary numerical precision.
  • StieltjesGamma automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate to high precision:

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Plot values of StieltjesGamma:

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Scope  (4)

Applications  (3)

Properties & Relations  (2)

Possible Issues  (4)

See Also

Zeta  EulerGamma

Tutorials

Introduced in 1996
(3.0)
| Updated in 2008
(7.0)