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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=11/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 11/4, -(9/2), -z] == (Sqrt[z] (-9614 z^7 + z^5 (1534012 - 722208 Sqrt[1 + z]) + 4807 z^6 (-51 + Sqrt[1 + z]) + 1008 (1 + Sqrt[1 + z]) + 28 z (329 + 311 Sqrt[1 + z]) + 14 z^4 (13671 + 10963 Sqrt[1 + z]) + z^2 (38491 + 34263 Sqrt[1 + z]) + z^3 (99486 + 83380 Sqrt[1 + z])))/ (2016 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