Reciprocal Gamma Function

In mathematics, the reciprocal gamma function is the function

where Γ(z) denotes the gamma function. Since the gamma function is meromorphic and nonzero everywhere in the complex plane, its reciprocal is an entire function. The reciprocal is sometimes used as a starting point for numerical computation of the gamma function, and a few software libraries provide it separately from the regular gamma function.

Karl Weierstrass called the reciprocal gamma function the "factorielle" and used it in his development of the Weierstrass factorization theorem.

Read more about Reciprocal Gamma Function:  Taylor Series, Contour Integral Representation, Integral Along The Real Axis, See Also

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