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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Summation > Finite summation





http://functions.wolfram.com/07.23.23.0001.01









  


  








Input Form





Sum[(Binomial[m, k] Hypergeometric2F1[a, b - k, c, z])/(z - 1)^k, {k, 0, m}] == (Pochhammer[c - a, m]/Pochhammer[c, m]) (z/(z - 1))^m Hypergeometric2F1[a, 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