About: Fox H-function

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In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-function and the Fox–Wright function introduced by Charles Fox.It is defined by a Mellin–Barnes integral where L is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function: The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q :

Attributes	Values
rdf:type	Thing yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Relation100031921 yago:WikicatHypergeometricFunctions
rdfs:label	Fox H-function (en)
rdfs:comment	In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-function and the Fox–Wright function introduced by Charles Fox.It is defined by a Mellin–Barnes integral where L is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function: The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q : (en)
differentFrom	Harmonic number
foaf:depiction
dcterms:subject	Hypergeometric functions Special functions
Wikipage page ID	27106625 (xsd:integer)
Wikipage revision ID	1113268643 (xsd:integer)
Link from a Wikipage to another Wikipage	Hypergeometric functions GitLab MathOverflow Fox–Wright function Meijer G-function Special functions Ram Kishore Saxena Transactions of the American Mathematical Society Springer-Verlag Mellin–Barnes integral
Link from a Wikipage to an external page	https://gitlab.com/RZ-FZJ/hypergeom https://mathoverflow.net/questions/407760/is-there-a-specific-named-function-that-is-the-inverse-of-xxa-for-x-real/407777%23407777
sameAs	Fox H-function Fox H-function Fox H-function Fox H-function
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Harv dbt:Harvtxt dbt:Redirect-distinguish dbt:Reflist dbt:Short_description dbt:Harvs dbt:Mathanalysis-stub
thumbnail	wiki-commons:Special:FilePath/Plot_of_the_Fox_H_function_H((((a_1,α_1),...,(a_n,α_n)),((a_n+1,α_n+1),...,(a_p,α_p)),(((b_1,β_1),...,(b_m,β_m)),in_((b_m+1,β_m+1),...,(b_q,β_q))),z)_with_H(((),()),(((-1,½)),()),z).svg?width=300
authorlink	Charles Fox (en)
first	Charles (en)
last	Fox (en)
year	1961 (xsd:integer)
has abstract	In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-function and the Fox–Wright function introduced by Charles Fox.It is defined by a Mellin–Barnes integral where L is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function: The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C > 0 for j = 1...p and k = 1...q : A generalization of the Fox H-function is given by Ram Kishore Saxena Innayat Hussain . For a further generalization of this function, useful in physics and statistics was given by A.M.Mathai and Ram Kishore Saxena, see . (en)
prov:wasDerivedFrom	wikipedia-en:Fox_H-function?oldid=1113268643&ns=0
page length (characters) of wiki page	5852 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fox_H-function
is Link from a Wikipage to another Wikipage of	Hypergeometric function Charles Fox (mathematician) List of mathematical functions Fox–Wright function Meijer G-function Burr distribution H-Function H-function H function Stable count distribution Ram Kishore Saxena Fox function
is Wikipage redirect of	H-Function H-function H function Fox function
is notable works of	Ram Kishore Saxena
is foaf:primaryTopic of	wikipedia-en:Fox_H-function

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