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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=29/8





http://functions.wolfram.com/07.23.03.bqi7.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 29/8, -(11/2), z] == -((1/(2838528 (1 - z)^(15/2))) (Sqrt[1 - z] (-2838528 + 17627904 z - 43809248 z^2 + 52353167 z^3 - 24420963 z^4 - 4786369 z^5 - 5904353 z^6 + 11537766 z^7 - 6194544 z^8 + 1163616 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-1064448 + 6765696 z - 17295474 z^2 + 21494953 z^3 - 10900344 z^4 - 1467354 z^5 - 5485822 z^6 + 7244793 z^7 - 3388176 z^8 + 581808 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