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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.23.23.0003.01









  


  








Input Form





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








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