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Johndcook

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Dimensional analysis for gamma function values

  • Dimensional analysis can be applied to equations involving factorials and related functions by injecting artificial dimensions.
  • Factorials can be imagined as n-dimensional volume if each term had units of length.
  • Dimensional analysis for factorials and related functions can aid in remembering identities and identifying errors.
  • Applying dimensional analysis to the gamma function allows assigning dimensions to complex values and confirming identities.

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