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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=17/4





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









  


  








Input Form





Hypergeometric2F1[11/4, 17/4, -(11/2), -z] == (1/(192 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (2 (48 + 672 z + 4533 z^2 + 20059 z^3 + 68783 z^4 + 222417 z^5 - 4646517 z^6 + 2638165 z^7 - 155295 z^8 - 2465 z^9)) + (1/(1 + z)^(25/2)) (96 + 1392 z + 9726 z^2 + 44489 z^3 + 156572 z^4 + 509119 z^5 + 14394078 z^6 - 14289017 z^7 + 2137160 z^8 + 2465 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