Classifier Instance:

Anchor text: Cornelius Lanczos
Target Entity: Cornelius_Lanczos
Preceding Context: does not appear to be known, and has been criticized as cumbersome by some (the 20th-century mathematician
Succeeding Context: , for example, called it "void of any rationality" and would instead use z! ). Legendre's normalization does simplify a few formulas, but complicates most others. From a modern point of view, the Legendre normalisation of the Gamma function is the integral of the additive character e^{-x} against the multiplicative character x^z with respect to the Haar measure \textstyle \frac{d\,x}{x} on the Lie group \textstyle \mathbb{R}^+ . Thus this normalisation makes it clearer that the Gamma function is a continuous analogue of a Gauss sum.
Paragraph Title: null
Source Page: Gamma function

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