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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=13/4, b>=a > For fixed z and a=13/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 19/4, -(5/2), -z] == (Sqrt[z] (-874 z^7 + z^3 (1003992 - 751002 Sqrt[1 + z]) + z^5 (951105 - 256905 Sqrt[1 + z]) + 437 z^6 (-109 + Sqrt[1 + z]) + 60 (1 + Sqrt[1 + z]) + z (993 + 963 Sqrt[1 + z]) + z^2 (9779 + 9305 Sqrt[1 + z]) + 6 z^4 (-384461 + 188857 Sqrt[1 + z])))/ (120 Sqrt[2] (1 + z)^(21/2) 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