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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=17/4, b>=a > For fixed z and a=17/4, b=19/4





http://functions.wolfram.com/07.23.03.an46.01









  


  








Input Form





Hypergeometric2F1[17/4, 19/4, -(5/2), -z] == (Sqrt[z] (3933 z^7 + z^5 (1516475 - 538905 Sqrt[1 + z]) + z^3 (683331 - 530706 Sqrt[1 + z]) + 20 (1 + Sqrt[1 + z]) + z (389 + 379 Sqrt[1 + z]) + 11 z^2 (422 + 405 Sqrt[1 + z]) + z^6 (-234934 + 41171 Sqrt[1 + z]) + 22 z^4 (-99824 + 54563 Sqrt[1 + z])))/ (40 Sqrt[2] (1 + z)^(23/2) 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