Hyperbolic cosine integral: Representations through more general functions (formula 01.20.26.0107)

Cosh

$Mathematica Notation$

Elementary Functions

Cosh[z]

Representations through more general functions

Through Meijer G

Classical cases involving ₀F₁

http://functions.wolfram.com/01.20.26.0107.01

Input Form

Cosh[a + 2 Sqrt[z]] Hypergeometric0F1[b, z] == ((2^(-3 + 2 b) Gamma[b])/(E^a Sqrt[Pi])) (MeijerG[{{3/2 - b}, {}}, {{0}, {2 - 2 b}}, 4 Sqrt[z]] + E^(2 a) Pi Csc[b Pi] MeijerG[{{3/2 - b}, {1 - b}}, {{0}, {2 - 2 b, 1 - b}}, 4 Sqrt[z]])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02