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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=-37/8, b>=a > For fixed z and a=-37/8, b=37/8





http://functions.wolfram.com/07.23.03.bc53.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, -(11/2), z] == (1/(45056 (-1 + z)^5)) ((-45056 + 62720 z + 18144 z^2 + 15537 z^3 + 19500 z^4 + 39477 z^5 + 231710 z^6 - 1774256 z^7 + 2962080 z^8 - 1980160 z^9 + 478720 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (2 Sqrt[z] (-16896 + 25984 z + 4914 z^2 + 3789 z^3 + 5155 z^4 + 12267 z^5 + 426819 z^6 - 1518848 z^7 + 1946160 z^8 - 1109760 z^9 + 239360 z^10) 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