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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=-11/4, b>=a > For fixed z and a=-11/4, b=15/4





http://functions.wolfram.com/07.23.03.adi2.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 15/4, -(11/2), -z] == (1/(192 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((2 (48 + 192 z + 241 z^2 + 51 z^3 - 44 z^4 + 51 z^5 + 241 z^6 + 192 z^7 + 48 z^8))/(1 + z)^6 + (96 + 432 z + 662 z^2 + 301 z^3 - 77 z^4 + 63 z^5 - 885 z^6 - 1528 z^7 - 912 z^8 - 192 z^9)/ (1 + z)^(13/2)))








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