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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 11/2, z] == (1/(447051 z^(9/2))) (16 ((1 + Sqrt[z])^(11/2) (272 - 1496 Sqrt[z] + 4692 z - 11220 z^(3/2) + 22593 z^2 - 40392 z^(5/2) + 65688 z^3 - 98736 z^(7/2) + 134640 z^4 - 147136 z^(9/2) + 109120 z^5 - 46464 z^(11/2) + 8448 z^6) - (1 - Sqrt[z])^(11/2) (272 + 1496 Sqrt[z] + 4692 z + 11220 z^(3/2) + 22593 z^2 + 40392 z^(5/2) + 65688 z^3 + 98736 z^(7/2) + 134640 z^4 + 147136 z^(9/2) + 109120 z^5 + 46464 z^(11/2) + 8448 z^6)))








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