`coshint`

Hyperbolic cosine integral.

Category: Mathematics > Mathematical Functions

Syntax

Y = coshint(X)

Evaluates Chi(x) for each element of X.

Description

The function is defined by Chi(x) = eulergamma + log(x) + integral from 0 to x of (cosh(t) - 1)/t dt. It is related to the ordinary cosine integral by cosint(i*x) = coshint(x) + i*pi/2 for positive x.

Input arguments

X: Numeric or symbolic array.

Output arguments

Y: Array of the same size: double for numeric input, a symbolic call for symbolic input.

Example

Numeric values

coshint(1)
coshint([0.5 2 5])

Output

ans = 0.8379
ans = 1×3

   -0.0528    2.4527   20.0921

Notes

Symbolic input such as coshint(sym(1)) is kept as an unevaluated call; vpa does not evaluate it in MatLivre.

coshint