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Q-gamma function

Index 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]

10 relations: American Mathematical Society, Bernoulli number, Bohr–Mollerup theorem, Cambridge University Press, Gamma function, Heaviside step function, Multiple gamma function, Q-analog, Q-Pochhammer symbol, Richard Askey.

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Bernoulli number

In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in number theory.

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Bohr–Mollerup theorem

In mathematical analysis, the Bohr–Mollerup theorem is a theorem named after the Danish mathematicians Harald Bohr and Johannes Mollerup, who proved it.

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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 alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Heaviside step function

The Heaviside step function, or the unit step function, usually denoted by or (but sometimes, or), is a discontinuous function named after Oliver Heaviside (1850–1925), whose value is zero for negative argument and one for positive argument.

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Multiple gamma function

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

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Q-analog

In mathematics, 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 Pochhammer symbol.

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Richard Askey

Richard "Dick" Allen Askey (born June 4, 1933) is an American mathematician, known for his expertise in the area of special functions.

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Redirects here:

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

References

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

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