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SinhIntegral

Status: Stable

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

Description

SinhIntegral[z]
    gives the hyperbolic sine integral Shi(z) = Integral_0^z Sinh[t]/t dt.
An entire, odd function with no branch cuts. SinhIntegral[0] = 0,
SinhIntegral[+-Infinity] = +-Infinity, SinhIntegral[+-I Infinity] = +-I Pi/2.
Real and complex inputs evaluate numerically at machine or arbitrary (MPFR)
precision; D[SinhIntegral[z], z] = Sinh[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