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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=15/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 15/4, -(9/2), -z] == (Sqrt[z] (-1748 z^8 + z^5 (1469962 - 765412 Sqrt[1 + z]) + 336 (1 + Sqrt[1 + z]) + 437 z^7 (-61 + 2 Sqrt[1 + z]) + 437 z^6 (-775 + 29 Sqrt[1 + z]) + 28 z (125 + 119 Sqrt[1 + z]) + 66 z^4 (1895 + 1579 Sqrt[1 + z]) + 11 z^3 (4769 + 4106 Sqrt[1 + z]) + z^2 (17001 + 15377 Sqrt[1 + z])))/(672 Sqrt[2] (1 + z)^(19/2) 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