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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Recurrence identities > Distant neighbors





http://functions.wolfram.com/07.24.17.0008.01









  


  








Input Form





Hypergeometric2F1Regularized[1, b, c, z] == (1/(z Gamma[c])) Sum[(Pochhammer[1 - c, k]/Pochhammer[1 + b - c, k]) ((z - 1)/z)^(k - 1), {k, 1, m}] + ((-1)^m/Pochhammer[1 + b - c, m]) ((z - 1)/z)^m Hypergeometric2F1Regularized[1, 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