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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=3/4, b>=a > For fixed z and a=3/4, b=9/4





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









  


  








Input Form





Hypergeometric2F1[3/4, 9/4, -(9/2), -z] == (Sqrt[z] (z^5 (21728 - 7293 Sqrt[1 + z]) + 80 (1 + Sqrt[1 + z]) - 221 z^6 (-1 + 2 Sqrt[1 + z]) + 20 z (31 + 29 Sqrt[1 + z]) + 5 z^2 (425 + 369 Sqrt[1 + z]) + 9 z^3 (476 + 381 Sqrt[1 + z]) + z^4 (5902 + 4385 Sqrt[1 + z])))/(160 Sqrt[2] (1 + z)^(15/2) 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