Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate for complex arguments:

Evaluate CoshIntegral efficiently at high precision:

CoshIntegral threads elementwise over lists:

Compute worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix CoshIntegral function using MatrixFunction:

Value at the origin:

Values at infinity:

Find the zero of CoshIntegral:

Plot the CoshIntegral function:

Plot the real part of :

Plot the imaginary part of :

CoshIntegral is defined for all real positive values:

Complex domain:

CoshIntegral takes all the real values:

CoshIntegral is not an analytic function:

Nor is it meromorphic:

CoshIntegral is increasing on its real domain:

CoshIntegral is injective:

CoshIntegral is surjective:

CoshIntegral is neither non-negative nor non-positive:

It has both singularity and discontinuity in (-∞,0]:

CoshIntegral is neither convex nor concave:

First derivative:

Higher derivatives:

Formula for the derivative:

Indefinite integral of CoshIntegral:

Definite integral:

More integrals:

Series expansion for CoshIntegral:

Plot the first three approximations for CoshIntegral around :

Find asymptotic series expansion at infinity:

CoshIntegral can be applied to power series:

Compute the Laplace transform using LaplaceTransform:

HankelTransform:

Primary definition of CoshIntegral:

Argument simplifications:

Simplify expressions to CoshIntegral:

Representation in terms of CosIntegral and Log:

CoshIntegral can be represented in terms of MeijerG:

CoshIntegral can be represented as a DifferentialRoot:

TraditionalForm formatting: