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Home > Art, Film & Photography > Gamma and Related Functions: Factorial, Gamma Function, Stirling's Approximation, Incomplete Gamma Function
Gamma and Related Functions: Factorial, Gamma Function, Stirling's Approximation, Incomplete Gamma Function

Gamma and Related Functions: Factorial, Gamma Function, Stirling's Approximation, Incomplete Gamma Function


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 27. Chapters: Factorial, Gamma function, Stirling's approximation, Incomplete gamma function, Particular values of the Gamma function, Digamma function, Beta function, Pochhammer symbol, Multiplication theorem, Lanczos approximation, Reciprocal Gamma function, Polygamma function, Fransen-Robinson constant, Trigamma function, Multivariate gamma function, Chowla-Selberg formula, Bohr-Mollerup theorem, Elliptic gamma function, Spouge's approximation, K-function, Generalized polygamma function, Pochhammer k-symbol, Q-gamma function, Euler integral, Holder's theorem, Generalized Pochhammer symbol. Excerpt: In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product. The factorial operation is encountered in many different areas of mathematics, notably in combinatorics, algebra and mathematical analysis. Its most basic occurrence is the fact that there are n! ways to arrange n distinct objects into a sequence (i.e., permutations of the set of objects). This fact was known at least as early as the 12th century, to Indian scholars. The notation n! was introduced by Christian Kramp in 1808. The definition of the factorial function can also be extended to non-integer arguments, while retaining its most important properties; this involves more advanced mathematics, notably techniques from mathematical analysis. The factorial function is formally defined by or recursively defined by Both of the above definitions incorporate the instance in the first case by the convention that the product of no numbers at all is 1. This is useful because: The factorial function can also be defined for non-integer values using more advanced mathematics, detailed in the section below. This more gener...


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Product Details
  • ISBN-13: 9781155197968
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Weight: 68 gr
  • ISBN-10: 1155197968
  • Publisher Date: 29 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Factorial, Gamma Function, Stirling's Approximation, Incomplete Gamma Function
  • Width: 189 mm


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