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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/07.24.17.0007.01









  


  








Input Form





Hypergeometric2F1Regularized[1, b, c, z] == (1/((b - 1) Gamma[c - 1])) Sum[(Pochhammer[c - b, k]/Pochhammer[2 - b, k]) (1 - z)^(-k - 1), {k, 0, m - 1}] + (Pochhammer[c - b, m]/((1 - z)^m Pochhammer[1 - b, m])) Hypergeometric2F1Regularized[1, b - m, c, z] /; Element[m, Integers] && m > 0








Standard Form





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MathML Form







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</ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29