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Gamma function

{c}

The reciprocal gamma function has the entire-product representation
$$
\frac1{\Gamma(z)}
=ze^{\gamma z}\prod_{k=1}^{\infty}
\left(1+\frac zk\right)e^{-z/k}.
$$

This is a particular application of the <Weierstrass factorization theorem>.

Weierstrass product for the reciprocal gamma function

Hyperbolic-sine infinite product

Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 304 / 1 / iv / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 7E / Solution

Weierstrass product for the reciprocal gamma function

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Weierstrass product for the reciprocal gamma function

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