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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 8 and fixed z and a>0 > For fixed z and a=15/8, b>=a > For fixed z and a=15/8, b=35/8





http://functions.wolfram.com/07.23.03.c5fm.01









  


  








Input Form





Hypergeometric2F1[15/8, 35/8, -(13/4), z] == (35568 (1 + Sqrt[1 - z]) - 684 (635 + 609 Sqrt[1 - z]) z + 57 (46939 + 43363 Sqrt[1 - z]) z^2 - 57 (221751 + 200944 Sqrt[1 - z]) z^3 + 342 (356165 + 340251 Sqrt[1 - z]) z^4 + 2 (81911863 + 54798704 Sqrt[1 - z]) z^5 + 3485 (4395 + 199 Sqrt[1 - z]) z^6 - 10455 (93 + 4 Sqrt[1 - z]) z^7 + 55760 z^8)/ (35568 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(19/2))








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