Live briefing
Everything about Meijer G-function
Generalization of the hypergeometric function
In mathematics, the G-function was introduced by Cornelis Simon Meijer as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's G-function was able to include those as particular cases as well. The first definition was made by Meijer using a series; nowadays the accepted and more general definition is via a line integral in the complex plane, introduced in its full generality by Arthur Erdélyi in 1953. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Meijer G-functionA 5-minute orientation
- Skim a recent paper: Dynamic stiffness method for exact modelling of acoustics black hole beams using Meijer G-functionsInfluential work since 2022
- Pick up a classic book: Functional programming, Glasgow 1992The most-reprinted book on the subject
- Read the landmark paper: Meijer G-Functions: A Gentle IntroductionCited 86 times
- Go sideways: MacRobert E functionA closely related topic
- Go sideways: Fox H-functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Meijer G-Functions: A Gentle Introduction
Fractional Laplace Operator and Meijer G-function
The Asymptotic Expansion of the Meijer G-Function
The generalized hypergeometric function as the Meijer G-function
Resummation in QFT with Meijer G-functions
Integration of certain products associated with a generalized Meijer function
Extending the Meijer G-Function
The optical transfer function and the Meijer-G function
🆕 Influential since 2022
Dynamic stiffness method for exact modelling of acoustics black hole beams using Meijer G-functions
Displacement–strain transformation for a variable cross-section beam based on hypergeometric and Meijer-G functions
Meijer-G Function With Continued Product and Integer Exponent: Performance of Multi-Aperture UOWC System Over EGG Turbulence
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms
New Fractional Integral Inequalities Involving the Fox-H and Meijer-G Functions for Convex and Synchronous Functions
📚 Books worth reading
Functional programming, Glasgow 1992Glasgow Workshop on Functional Programming (1992 Ayr, Scotland) · 1993- 📕On Some Sums of Meijer's G-FunctionAtomic Energy of Canada Limited. · 1977
- 📕Finite Form Representations for Meijer G and Fox H FunctionsCarlos A. Coelho, Barry C. Arnold · 2019
NIST Handbook of Mathematical FunctionsNational Institute of Standards and Technology (U.S.) · 2010
Philosophy of technology and engineering sciencesAnthonie Meijers · 2009
The zebrafishH. William Detrich, Monte Westerfield · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- MacRobert E function In mathematics, the E-function was introduced by Thomas Murray MacRobert (1937–1938) to extend the generalized hypergeometric series pFq(·) to the case…
- Fox H-function In mathematics, the Fox H-function H ( z ) {\displaystyle H(z)} is a generalization of the Meijer G-function and the Fox–Wright function introduced by…
- Electromagnetic tensor In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell…
- Rigid rotor In rotordynamics, the rigid rotor is a mechanical model of rotating systems. An arbitrary rigid rotor is a 3-dimensional rigid object, such as a top. To…
- Tensors in curvilinear coordinates Curvilinear coordinates can be formulated in tensor calculus, with important applications in physics and engineering, particularly for describing transportation…
- Complex normal distribution In probability theory, the family of complex normal distributions, denoted C N {\displaystyle {\mathcal {CN}}} or N C {\displaystyle {\mathcal {N}}_{\mathcal…
- Acceleration (special relativity) Accelerations in special relativity (SR) follow, as in Newtonian mechanics, by differentiation of velocity with respect to time. However, because of the…
- Gegenbauer polynomials In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α) n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight…