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Meijer G-function

In mathematics, the G-function was introduced by Cornelis Simon Meijer (1936) 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…

Art, Definition of the Meijer G-function & Overview

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Overview

Definition of the Meijer G-function

Relationship between the G-function and the generalized hypergeometric function

Basic properties of the G-function

Definite integrals involving the G-function

Integral transforms based on the G-function

Representation of other functions in terms of the G-function

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Meijer G-function

Nodes60
Edges59
Triples171
Avg. degree1.97
Density0.033333
Components1

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Meijer G-function

Top relations

related to References · 146
Meijer G-function → Academic Press, Adri, Alan, American Mathematical Society, Amsterdam, Andrews, Annals, Applications, Applied Mathematicians, Askey, Bateman, Beals, Besselsche Funktionen, Bibcode, Boisvert, Breach, Brychkov, Cambridge, Cambridge University Press, Chapter
related to Polynomial cases · 7
Meijer G-function → Again, G-function, G-functions, Meijer G-functions, Note, The, To
related to Definition of the Meijer G-function · 6
Meijer G-function → Barnes, Bateman, Erdélyi, Mellin, The, This
related to Relationship between the G-function and the generalized hypergeometric function · 5
Meijer G-function → For, If, In, Slater's, The
related to External links · 4
Meijer G-function → Eric, GitLab, MathWorld, Weisstein
related to Representation of other functions in terms of the G-function · 2
Meijer G-function → Bigg, The
is a · 1
Meijer G-function → analytic function of z with possible exception of the origin z

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Important terminology

g-function functions meijer function hypergeometric definition integral one g-functions transform generalized special cases isbn path doi derivatives following two kernels

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Meijer G-functionis aanalytic function of z with possible exception of the origin z0.90text
Meijer G-functionrelated to Definition of the Meijer G-functionBateman0.60section
Meijer G-functionrelated to Definition of the Meijer G-functionErdélyi0.60section
Meijer G-functionrelated to Definition of the Meijer G-functionThis0.60section
Meijer G-functionrelated to Definition of the Meijer G-functionMellin0.60section
Meijer G-functionrelated to Definition of the Meijer G-functionBarnes0.60section
Meijer G-functionrelated to Definition of the Meijer G-functionThe0.60section
Meijer G-functionrelated to External linksWeisstein0.60section
Meijer G-functionrelated to External linksEric0.60section
Meijer G-functionrelated to External linksMathWorld0.60section
Meijer G-functionrelated to External linksGitLab0.60section
Meijer G-functionrelated to Polynomial casesTo0.60section

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