The beta function, also called the Euler integral of the first kind, is a special function closely related to the gamma function and to binomial coefficients. It is defined by a definite integral of two complex number inputs whose real parts are both positive. The beta function was studied by Leonhard Euler and Adrien-Marie Legendre and was given its name, and its capital Greek beta symbol, by Jacques Binet.
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1. Wikipedia: Beta function
Introduction, opening sentence
In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients.
Attributed To: Leonhard Euler, Lead section
The beta function was studied by Leonhard Euler and Adrien-Marie Legendre
Attributed To: Adrien-Marie Legendre, Lead section
The beta function was studied by Leonhard Euler and Adrien-Marie Legendre
View the Source2. PlanetMath: Beta function
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The beta function was first defined by L. Euler ( http://planetmath.org/EulerLeonhard) in 1730, and the name was given by J. Binet.
Wolfram MathWorld: Beta Function
Wolfram MathWorldIn Branch: Analysis, Subject classificationsQuote, In Branch: Analysis, Subject classifications
Calculus and Analysis Special Functions
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