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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, -(7/2), z] == -((1/(1922816 (1 - z)^(15/2))) (Sqrt[1 - z] (-1922816 + 8978864 z - 11604495 z^2 - 4363891 z^3 - 10778285 z^4 + 54176607 z^5 - 79579968 z^6 + 58466400 z^7 - 22071168 z^8 + 3427200 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + 8 Sqrt[z] (-180264 + 868057 z - 1194249 z^2 - 315462 z^3 - 3850600 z^4 + 10987983 z^5 - 13283559 z^6 + 8634198 z^7 - 2973096 z^8 + 428400 z^9) 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