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Chapter 2:
Gamma, Beta, and Error Functions
Book: Special Functions for Optical Science and Engineering
Author(s): Vasudevan Lakshminarayanan, L. Srinivasa Varadharajan
Published: 2015
https://doi.org/10.1117/3.2207310.ch2
Abstract
The gamma function, written as G(x), was first introduced by the mathematician Leonhard Euler (1707–1783) as a general form of the factorial function x! that could be applied to complex and negative numbers. Later, Adrien-Marie Legendre (1752–1833) who provided a “duplication formula” for the G function, introduced the notation that is commonly used now. Karl Weierstrass (1815–1897) expanded and developed the theory of G functions in the complex plane.
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CHAPTER 2
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