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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=1/4, b>=a > For fixed z and a=1/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 23/4, -(11/2), -z] == (1/(4928 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^11) (2464 + 27440 z + 139874 z^2 + 433161 z^3 + 917255 z^4 + 1452502 z^5 - 1085600 z^6 - 478699 z^7 - 150121 z^8 - 28980 z^9 - 2576 z^10) + (1/(1 + z)^(23/2)) (2 (1232 + 14336 z + 76643 z^2 + 249911 z^3 + 558985 z^4 + 932361 z^5 + 3133773 z^6 + 1436097 z^7 + 589559 z^8 + 171695 z^9 + 30912 z^10 + 2576 z^11))))








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