Function Repository Resource:

# MeijerGForm

Convert a mathematical expression into an equivalent expression with head MeijerG

Contributed by: Paco Jain & Oleg Marichev
 ResourceFunction["MeijerGForm"][f,z] expresses the function f, written in terms of the independent variable z, in terms of MeijerG when possible.

## Details

The result of MeijerG form will either return the original expression, or one involving The Inactive wrapper is to prevent auto-evaluation of MeijerG into simpler functions, and can be removed with Activate.

## Examples

### Basic Examples (2)

Get the Meijer-G form of a trigonometric function:

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Activating the result allows the MeijerG to evaluate, giving back the original function:

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Represent BesselJ in terms of MeijerG:

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Recover the original function using Activate:

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### Scope (10)

#### Elementary Functions (5)

Rational functions:

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Algebraic functions:

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Trigonometric functions:

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Linear combination of trigonometric functions:

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Inverse trigonometric and hyperbolic functions:

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#### Special Functions (5)

Airy functions:

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Bessel functions:

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Legendre functions:

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Hypergeometric functions:

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Elliptic integrals:

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### Properties and Relations (1)

If a MeijerG representation cannot be found, the function returns unevaluated:

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## Publisher

Wolfram|Alpha Math Team

## Requirements

Wolfram Language 13.0 (December 2021) or above

## Version History

• 1.2.1 – 05 April 2024
• 1.2.0 – 14 August 2023
• 1.1.2 – 07 November 2022
• 1.1.1 – 10 October 2022
• 1.1.0 – 10 October 2022
• 1.0.0 – 23 August 2022

## Author Notes

To view the full source code for this and related functions, evaluate the following:

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