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{{r|Gamma function}}

{{r|Gamma function}}

{{r|Gamma function}}

{{r|Gamma function}}

{{r|Gamma function}}

where <math> \Gamma(s) </math> is the [[gamma function]]. ...1</math>. (This assumes that one can compute the necessary values of the gamma function).

{{r|Gamma function}}

...tion]], the [[Riemann Zeta Function]], the [[Bessel functions]], and the [[Gamma Function]].

...tended to arguments other than positive integers: this gives rise to the [[Gamma function]]. </ref>. Historically, the deduction refers to the [[Gamma function]], but the application to the factorial is straightforward.

...''n'' and to smoothly interpolate the factorial between the integers. The gamma function is one of the most commonly occurring examples of a nonelementary function; The gamma function can be seen as a solution to the following [[interpolation]] problem: find

...egrating the product of a power function and an exponential leads to the [[gamma function]].

...[[Yuri Nesterenko]] proved in 1996 that both <math>e^\pi</math> and the [[gamma function]] value <math>\Gamma(1/4)</math> are algebraically independent from <math>\