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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=21/4





http://functions.wolfram.com/07.23.03.aax3.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, -(9/2), -z] == (1/(96 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(11/2)) (48 + 20 z - 25 z^2 + 47 z^3 - 143 z^4 - 7059 z^5 - 20680 z^6 - 24464 z^7 - 13376 z^8 - 2816 z^9) + (1/(1 + z)^5) (48 - 4 z - 17 z^2 + 52 z^3 - 169 z^4 + 9542 z^5 + 33264 z^6 + 43296 z^7 + 25344 z^8 + 5632 z^9)))








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