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- Q-gamma_function abstract "In q-analog theory, the q-gamma function, or basic gamma function, is a generalization of the ordinary Gamma function closely related to the double gamma function. It was introduced by Jackson (1905). It is given bywhen |q|<1, and if |q|>1. Here (·;·)∞ is the infinite q-Pochhammer symbol. It satisfies the functional equationFor non-negative integers n,where [·]q! is the q-factorial function. Alternatively, this can be taken as an extension of the q-factorial function to the real number system.The relation to the ordinary gamma function is made explicit in the limitA q-analogue of Stirling's formula for |q|<1 is given byA q-analogue of the multiplication formula for |q|<1 is given byDue to I. Mező, the q-analogue of the Raabe formula exists, at least if we use the q-gamma function when |q|>1. With this restriction".
- Q-gamma_function wikiPageExternalLink 134lett2.pdf.
- Q-gamma_function wikiPageID "7439014".
- Q-gamma_function wikiPageRevisionID "575735610".
- Q-gamma_function hasPhotoCollection Q-gamma_function.
- Q-gamma_function subject Category:Gamma_and_related_functions.
- Q-gamma_function subject Category:Q-analogs.
- Q-gamma_function comment "In q-analog theory, the q-gamma function, or basic gamma function, is a generalization of the ordinary Gamma function closely related to the double gamma function. It was introduced by Jackson (1905). It is given bywhen |q|<1, and if |q|>1. Here (·;·)∞ is the infinite q-Pochhammer symbol. It satisfies the functional equationFor non-negative integers n,where [·]q! is the q-factorial function.".
- Q-gamma_function label "Función q-gamma".
- Q-gamma_function label "Q-gamma function".
- Q-gamma_function sameAs Función_q-gamma.
- Q-gamma_function sameAs m.0bh6yzk.
- Q-gamma_function sameAs Q7265303.
- Q-gamma_function sameAs Q7265303.
- Q-gamma_function wasDerivedFrom Q-gamma_function?oldid=575735610.
- Q-gamma_function isPrimaryTopicOf Q-gamma_function.