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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=5/4, b>=a > For fixed z and a=5/4, b=23/4





http://functions.wolfram.com/07.23.03.ak53.01









  


  








Input Form





Hypergeometric2F1[5/4, 23/4, -(3/2), -z] == (Sqrt[z] (-112 z^7 + z^2 (100508 - 68436 Sqrt[1 + z]) + 114 (1 + Sqrt[1 + z]) + 4 z^6 (-279 + 14 Sqrt[1 + z]) + 19 z (79 + 76 Sqrt[1 + z]) + z^5 (-5299 + 516 Sqrt[1 + z]) + 2 z^4 (-8589 + 1133 Sqrt[1 + z]) + z^3 (-63522 + 6920 Sqrt[1 + z])))/ (228 Sqrt[2] (1 + z)^(17/2) Sqrt[-1 + Sqrt[1 + z]])








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)





2007-05-02