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  1. Gamma function - Wikipedia

    In mathematics, the gamma function (represented by Γ, capital Greek letter gamma) is the most common extension of the factorial function to complex numbers. Derived by Daniel Bernoulli, …

  2. Gamma Function -- from Wolfram MathWorld

    Dec 3, 2025 · The (complete) gamma function Gamma (n) is defined to be an extension of the factorial to complex and real number arguments. It is related to the factorial by Gamma (n)= (n …

  3. Gamma Function - Math is Fun

    The most popular one is the Gamma Function (Γ is the Greek capital letter Gamma): It is a definite integral with limits from 0 to infinity. It matches the factorial function for whole numbers …

  4. Gamma Function - GeeksforGeeks

    Oct 28, 2025 · The Gamma function, denoted by Γ (z), is one of the most important special functions in mathematics. It was developed by Swiss mathematician Leonhard Euler in the …

  5. Gamma Function - Definition, Formula, Properties, & Examples

    Mar 7, 2025 · What is gamma function in mathematics with its formula, symbol, & properties. Also, learn finding it for fractions and negative numbers with examples.

  6. What Is the Gamma Function? - ThoughtCo

    May 4, 2025 · The gamma function is a complex function used to generalize the factorial to more numbers. The gamma function shows up in fields like combinatorics and probability to help …

  7. Gamma function | Properties, Examples, & Equation | Britannica

    Nov 28, 2025 · gamma function, generalization of the factorial function to nonintegral values, introduced by the Swiss mathematician Leonhard Euler in the 18th century. For a positive …

  8. Gamma function | Definition, properties, proofs - Statlect

    The Gamma function is a generalization of the factorial function to non-integer numbers. It is often used in probability and statistics, as it shows up in the normalizing constants of important …

  9. 14.2: Definition and properties of the Gamma function

    May 3, 2023 · Definition: Gamma Function The Gamma function is defined by the integral formula Γ (z) = ∫ 0 ∞ t 1 e The integral converges absolutely for Re (z)> 0.

  10. Specifically, the gamma function is one of the very few functions of mathematical physics that does not satisfy any of the ordinary differential equations (ODEs) common to physics.