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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Summation > Finite summation





http://functions.wolfram.com/07.24.23.0002.01









  


  








Input Form





Sum[(-1)^k Binomial[m, k] Hypergeometric2F1Regularized[a, b - k, c, z], {k, 0, m}] == Pochhammer[a, m] z^m Hypergeometric2F1Regularized[a + m, b, c + m, z] /; Element[m, Integers] && m >= 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29