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Multiple gamma function

In mathematics, the multiple gamma function Γ N {\displaystyle \Gamma _{N}} is a generalization of the Euler gamma function and the Barnes G-function. The double gamma function was studied by Barnes (1901). At the end of this paper he mentioned the existence of multiple gamma functions generalizing it, and studied these further in Barnes (1904).

Products, The double gamma function and conformal field theory & Properties

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The double gamma function and conformal field theory

Two-dimensional conformal field theoryCentral chargeVirasoro algebraLiouville theory
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Properties

Meromorphic functionZeros and poles
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Infinite product representation

Infinite productResidue
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Definition

Barnes zeta function
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Infinite product representation

The double gamma function and conformal field theory

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Multiple gamma function

Nodes20
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Triples34
Avg. degree1.9
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Multiple gamma function

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related to Further reading · 32
Multiple gamma function → Advances, Barnes, Bibcode, Camb, Containing Papers, Double Gamma Function, Double Gamma Functions, Eduardo, ISSN, JSTOR, London, London Math, Mathematical, Mathematics, MR, On, On Barnes, Philos, Philosophical Transactions, Physical Character
related to Infinite product representation · 2
Multiple gamma function → In, The

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gamma function displaystyle barnes double functions multiple theory doi representation issn 10 g-function mid poles mathematics 1901 related studied product

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SubjectPredicateObjectConfidenceSrc
Multiple gamma functionrelated to Further readingBarnes0.60section
Multiple gamma functionrelated to Further readingThe Genesis0.60section
Multiple gamma functionrelated to Further readingDouble Gamma Functions0.60section
Multiple gamma functionrelated to Further readingProc0.60section
Multiple gamma functionrelated to Further readingLondon Math0.60section
Multiple gamma functionrelated to Further readingSoc0.60section
Multiple gamma functionrelated to Further readingThe Theory0.60section
Multiple gamma functionrelated to Further readingDouble Gamma Function0.60section
Multiple gamma functionrelated to Further readingProceedings0.60section
Multiple gamma functionrelated to Further readingRoyal Society0.60section
Multiple gamma functionrelated to Further readingLondon0.60section
Multiple gamma functionrelated to Further readingISSN0.60section

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