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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=27/8, b>=a > For fixed z and a=27/8, b=29/8





http://functions.wolfram.com/07.23.03.ca85.01









  


  








Input Form





Hypergeometric2F1[27/8, 29/8, -(9/2), z] == -((1/(1024 (1 - z)^(23/2))) (Sqrt[1 - z] (-1024 + 14336 z - 98860 z^2 + 468671 z^3 - 1942615 z^4 + 12633686 z^5 + 31833126 z^6 + 10201435 z^7 + 368621 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-768 + 10864 z - 75643 z^2 + 361386 z^3 - 1502125 z^4 + 22633052 z^5 + 38697819 z^6 + 10809962 z^7 + 368621 z^8) Sin[(3 ArcSin[Sqrt[z]])/4]))








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