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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Recurrence identities > Distant neighbors





http://functions.wolfram.com/07.23.17.0005.01









  


  








Input Form





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