The hyperbolic sine integral, often called the "Shi function" for short, is defined by

The function is implemented in the Wolfram Language as the function SinhIntegral[z].

It has Maclaurin series

(OEIS A061079).

It has derivative

and indefinite integral

See also

Chi, Cosine Integral, Sine Integral, Sinhc Function

Related Wolfram sites

http://functions.wolfram.com/GammaBetaErf/SinhIntegral/

Explore with Wolfram|Alpha

References

Abramowitz, M. and Stegun, I. A. (Eds.). "Sine and Cosine Integrals." §5.2 inHandbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 231-233, 1972.Sloane, N. J. A. Sequence A061079 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Shi

Cite this as:

Weisstein, Eric W. "Shi." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Shi.html

Subject classifications