The Binomial Coefficient for Negative Arguments

Preprint English OPEN
Kronenburg, M. J.;
(2011)
  • Subject: Mathematics - Combinatorics

The definition of the binomial coefficient in terms of gamma functions also allows non-integer arguments. For nonnegative integer arguments the gamma functions reduce to factorials, leading to the well-known Pascal triangle. Using a symmetry formula for the gamma functi... View more
  • References (4)

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    [3] R.L. Graham, D.E. Knuth, O. Patashnik, Concrete Mathematics, A Foundation for Computer Science, 2nd ed., Addison-Wesley, 1994.

    [4] D.E. Knuth, The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd ed., Addison-Wesley, 1997.

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