The hyperbolic sine integral, often called the "Shi function" for short, is defined by
 |
(1)
|
The function is implemented in the Wolfram
Language as the function SinhIntegral[z].
It has Maclaurin series
(OEIS A061079).
It has derivative
 |
(4)
|
and indefinite integral
 |
(5)
|
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 Web Resource. https://mathworld.wolfram.com/Shi.html
Subject classifications