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CoshIntegral

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

CoshIntegral[z]
    gives the hyperbolic cosine integral
    Chi(z) = EulerGamma + Log[z] + Integral_0^z (Cosh[t] - 1)/t dt.
Has a logarithmic singularity at 0 and a branch cut on (-Infinity, 0].
CoshIntegral[0] = -Infinity, CoshIntegral[Infinity] = Infinity,
CoshIntegral[+-I Infinity] = +-I Pi/2.
Real and complex inputs evaluate numerically at machine or arbitrary (MPFR)
precision; D[CoshIntegral[z], z] = Cosh[z]/z. Listable.

Examples

No verified examples yet for this function.

Implementation notes

Attributes: Listable, NumericFunction, Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References