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Q-gamma function

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. [1]

7 relations: Cambridge University Press, Gamma function, Multiple gamma function, Multiplication theorem, Q-analog, Q-Pochhammer symbol, Stirling's approximation.

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Gamma function

In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Multiple gamma function

In mathematics, the multiple gamma function ΓN is a generalization of the Euler Gamma function and the Barnes G-function.

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Multiplication theorem

In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function.

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Roughly speaking, in mathematics, specifically in the areas of combinatorics and special functions, a q-analog of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity or expression in the limit as.

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Q-Pochhammer symbol

In mathematics, in the area of combinatorics, a q-Pochhammer symbol, also called a q-shifted factorial, is a ''q''-analog of the common Pochhammer symbol.

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Stirling's approximation

In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials.

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Basic gamma function, Q gamma function, Q-Gamma function.


[1] https://en.wikipedia.org/wiki/Q-gamma_function

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