Chi
Chi
ChiReIm
ChiContours
The hyperbolic cosine integral, often called the "Chi function" for short, is defined by
where gamma 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 x=0.52382257138... (OEIS A133746).
The derivative of Chi(z) is
| [画像: d/(dz)Chi(z)=(coshz)/z, ] |
(2)
|
and the integral is
See also
Cosine Integral, Shi, Sine IntegralRelated Wolfram sites
https://functions.wolfram.com/GammaBetaErf/CoshIntegral/Explore with Wolfram|Alpha
WolframAlpha
More things to try:
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
ChiCite this as:
Weisstein, Eric W. "Chi." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Chi.html