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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=31/8





http://functions.wolfram.com/07.23.03.bp5q.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 31/8, -(11/2), z] == -((1/(3108864 (1 - z)^(15/2))) (Sqrt[1 - z] (-3108864 + 17752320 z - 39004320 z^2 + 37365869 z^3 - 7829913 z^4 - 6494579 z^5 - 14263795 z^6 + 24508770 z^7 - 13204048 z^8 + 2521376 z^9) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-388608 + 2340480 z - 5517378 z^2 + 5929699 z^3 - 1942304 z^4 - 849758 z^5 - 12512630 z^6 + 15397811 z^7 - 7232368 z^8 + 1260688 z^9) Sin[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