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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=-1/8, b>=a > For fixed z and a=-1/8, b=35/8





http://functions.wolfram.com/07.23.03.bx24.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 35/8, -(17/4), z] == (2 (604656 - 4872816 z + 17112141 z^2 - 33944640 z^3 + 40270614 z^4 - 13430340 z^5 + 7368565 z^6 - 2211700 z^7 + 285600 z^8) + (1/Sqrt[1 - z]) (1209312 - 10350288 z + 38945934 z^2 - 83858799 z^3 + 110769696 z^4 - 60436530 z^5 + 52414570 z^6 - 24661815 z^7 + 6548400 z^8 - 761600 z^9))/(1209312 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^8)








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