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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Reduction to polynomial





http://functions.wolfram.com/07.23.17.0047.01









  


  








Input Form





Hypergeometric2F1[a, b, b - n, z] == (-1)^n (Pochhammer[1 + a - b, n]/Pochhammer[1 - b, n]) z^n (1 - z)^(-a - n) Hypergeometric2F1[-n, 1 - b, 1 + a - b, 1/z] /; Element[n, Integers] && n >= 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