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9781463694296

The Gamma Function

by
  • ISBN13:

    9781463694296

  • ISBN10:

    1463694296

  • Format: Paperback
  • Copyright: 2010-12-01
  • Publisher: Createspace Independent Pub

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Summary

The Gamma function is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers. Although the Gamma function is defined for all complex numbers except the non-positive integers, it is defined via an improper integral that convergesonly for complex numbers with a positive real part.This integral function is extended by analytic continuation to all complex numbers except the non-positive integers (where the function has simple poles), yielding the meromorphic function we know as the Gamma function.The Gamma function has important applications in probability theory, combinatorics and most, if not all, areas of physics.

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