Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:software
|
| gptkbp:definedIn |
Mellin–Barnes integral
|
| gptkbp:field |
gptkb:mathematics
complex analysis mathematical analysis special functions |
| gptkbp:generalizes |
gptkb:hypergeometric_function
Bessel function exponential function logarithm many elementary functions |
| gptkbp:hasProperty |
closed under differentiation
closed under integration contains most known special functions as special cases |
| gptkbp:implementedIn |
gptkb:Mathematica
gptkb:Maple gptkb:SageMath |
| gptkbp:introducedIn |
1936
|
| gptkbp:namedAfter |
Cornelis Simon Meijer
|
| gptkbp:notation |
G^{m,n}_{p,q}
|
| gptkbp:parameter |
m, n, p, q, a_i, b_j
|
| gptkbp:referencedIn |
Meijer, C. S. (1936). "Über Whittakersche bzw. Besselsche Funktionen und deren Produkte"
Gradshteyn, I.S.; Ryzhik, I.M. Table of Integrals, Series, and Products |
| gptkbp:relatedTo |
gptkb:Mellin_transform
gptkb:generalized_hypergeometric_function Fox H-function |
| gptkbp:usedIn |
gptkb:probability_theory
engineering physics statistics integral transforms |
| gptkbp:variant |
complex variable z
|
| gptkbp:bfsParent |
gptkb:generalized_hypergeometric_function
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Meijer G-function
|