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  1. The gamma function is an extension of the factorial function to complex numbers, defined by various integrals, products, or series. It has many applications in mathematics, statistics, and physics, and satisfies several functional equations and identities.

  2. The Gamma function is a generalization of the factorial function to complex numbers, defined by an integral formula. It has many properties, such as functional equation, Euler's constant, Stirling's formula and Legendre duplication formula.

  3. Aug 20, 2024 · The gamma function is a generalization of the factorial function to nonintegral values, introduced by Euler in the 18th century. It has many applications to calculus, differential equations, complex analysis, and statistics, and can be extended to negative non-integer and complex numbers.

    • The Editors of Encyclopaedia Britannica
  4. 4 days ago · The gamma function is an extension of the factorial to complex and real numbers, defined by various integrals, products and series. It has many applications in analysis, number theory and physics, and satisfies several functional equations and relations with other special functions.

  5. The Gamma Function is a generalization of the factorial function that works for all real and complex numbers. It has many useful properties and applications in combinatorics, probability, statistics, calculus and physics.

  6. The Gamma function is a generalization of the factorial function to non-integer numbers. It is often used in probability and statistics, and it satisfies a recursion equation. Learn how to compute its values and see its plot with an interactive calculator.

  7. The gamma function is an extension of the factorial function to real and complex values. It has many applications in mathematics and physics, and satisfies various differential, integral, and series equations.