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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Values at other z > Values at z==2





http://functions.wolfram.com/07.23.03.0061.01









  


  








Input Form





Hypergeometric2F1[-n, b, 2 b + 1, 2] == (Gamma[b + 1/2]/Sqrt[Pi]) (((1 + (-1)^n)/2) (Gamma[(n + 1)/2]/Gamma[b + (n + 1)/2]) + ((1 - (-1)^n)/2) (Gamma[(n + 2)/2]/Gamma[b + (n + 2)/2])) /; Element[n, Integers] && n >= 0








Standard Form





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MathML Form







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










Rule Form





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





2001-10-29