Linked from

The 25 pages that link to Gamma function, each with the reason it gives.

• FactorialNarrower topic: It extends the integer factorial to non-integer arguments.

• Riemann zeta functionRelated: The gamma factor appears in the zeta function’s completed functional equation.

• Analytic continuationBroader topic: Its integral definition continues beyond the half-plane where the integral converges.

• Improper integralBroader topic: Its defining integral converges on an unbounded interval despite an endpoint singularity for some parameters.

• Stirling's approximationNarrower topic: Its asymptotic behavior is the continuous counterpart of the factorial formula.

• Dedekind zeta functionRelated: Archimedean gamma factors complete the zeta function and produce its functional equation.

• Integration by partsRelated: Integration by parts yields the recurrence Γ(z+1)=zΓ(z) from its integral definition.

• Gaussian integralRelated: Its value at one half evaluates Gaussian integrals with powers of the variable.

• Mellin transformRelated: Its Mellin integral is a standard example and a recurring factor in transform formulas.

• Weierstrass factorization theoremBroader topic: Its reciprocal has a canonical product whose zeros are the nonpositive integers.

• Beta functionRelated: The beta function is a quotient of three gamma values.

• Negative binomial distributionRelated: It extends the distribution's combinatorial formula when its success parameter is generalized.

• Gamma distributionRelated: It normalizes the gamma density through the factor Γ(shape).

• Hadamard factorization theoremRelated: The reciprocal gamma function is entire and admits a canonical product that illustrates the theorem.

• Euler–Mascheroni constantRelated: The constant appears in expansions of the gamma function near zero and one.

• Integration by substitutionRelated: A variable change reduces a broad class of improper integrals to its defining integral.

• Logarithmic differentiationBroader topic: Its logarithmic derivative is useful when differentiating expressions built from factorial-like terms.

• Class number formulaRelated: Archimedean gamma factors shape the completed zeta function whose pole is evaluated.

• Elementary functionCompared with: The gamma function is a standard special function beyond elementary formulas.

• Bohr–Mollerup theoremRelated: The theorem identifies this function as the unique one satisfying its hypotheses.

• Carlson's theoremRelated: Its integer values illustrate how discrete data can identify a function when growth conditions are available.

• Cauchy's formula for repeated integrationRelated: It replaces the factorial when the repeated-integration order is extended beyond integers.

• Deligne conjecture (critical L-values)Related: Gamma factors help determine which integers are critical and contribute archimedean normalizations.

• Dixon's identityRelated: The identity's closed form is a quotient of gamma-function values.

• Exponential integralNarrower topic: Incomplete gamma functions connect this family to a broader extension of factorial integrals.