The reciprocal of this function is represented by Hankel's contour integral.
The reciprocal of this function is represented by Hankel's contour integral. A function must be thisfunction if it meets certain criteria, including being logarithmically convex, according to the Bohr-Molleruptheorem. The logarithmic derivatives of this function are represented with the letter psi. This functionapplied to z and multiplied by this function applied to one minus x gives the result pi over sin of pi x. Thesquare root of pi appears when this function is applied to half-integers. This function has a value of one atone, and, at x plus one it equals x times itself at x. This function is defined as the Euler integral of thesecond kind, which is the integral from zero to infinity of t to the z minus one times e to the negative t dt.For 10 points, name this extension of the factorial function to complex numbers.
The reciprocal of this function is represented by Hankel's contour integral.
gamma function [do not accept or prompt on "factorial"]