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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=-17/8, b>=a > For fixed z and a=-17/8, b=-13/8





http://functions.wolfram.com/07.23.03.bnk4.01









  


  










Input Form





Hypergeometric2F1[-(17/8), -(13/8), 11/2, -z] == -((1024 (Sqrt[z] (-448 - 5208 z - 30107 z^2 - 127875 z^3 - 1599598 z^4 + 2708258 z^5 - 678727 z^6 + 15785 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + (256 + 2800 z + 15169 z^2 + 61369 z^3 + 363594 z^4 - 2719486 z^5 + 1709925 z^6 - 155579 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (897677165 z^(9/2) (1 + z)^(7/8)))










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