The hyperbolic cosine integral, often called the "Chi function" for short, is defined by
 |
(1)
|
where 
is the Euler-Mascheroni
constant. The function is given by the Wolfram
Language command CoshIntegral[z].
The Chi function has a unique real root at 
(OEIS A133746).
The derivative of 
is
 |
(2)
|
and the integral is
 |
(3)
|
See also
Cosine Integral,
Shi,
Sine Integral
Related Wolfram sites
http://functions.wolfram.com/GammaBetaErf/CoshIntegral/
Explore with Wolfram|Alpha
References
Abramowitz, M. and Stegun, I. A. (Eds.). "Sine and Cosine Integrals." §5.2 in Handbook
of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 231-233, 1972.Sloane, N. J. A. Sequence
A133746 in "The On-Line Encyclopedia
of Integer Sequences."Referenced on Wolfram|Alpha
Chi
Cite this as:
Weisstein, Eric W. "Chi." From MathWorld--A
Wolfram Web Resource. https://mathworld.wolfram.com/Chi.html
Subject classifications
