Exponential function: Representations through more general functions (formula 01.03.26.0247)

Exp

$Mathematica Notation$

Elementary Functions

Exp[z]

Representations through more general functions

Through Meijer G

Generalized cases involving products of ₁F^~₁

http://functions.wolfram.com/01.03.26.0247.01

Input Form

(Hypergeometric1F1Regularized[a, b, z] Hypergeometric1F1Regularized[b - a, b, z])/E^z == ((2^(1 - b) Sqrt[Pi])/(Gamma[a] Gamma[b - a])) MeijerG[{{1 - a, 1 + a - b}, {}}, {{0}, {(1 - b)/2, 1 - b/2, 1 - b}}, (I z)/2, 1/2]

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