Meijer G-function

GPTKB entity

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
https://www.w3.org/2000/01/rdf-schema#label Meijer G-function
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