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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=-21/8, b>=a > For fixed z and a=-21/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, -(11/2), z] == -((1/(1306624 (1 - z)^(15/2))) (Sqrt[1 - z] (-1306624 + 6629632 z - 11834784 z^2 + 6925461 z^3 + 1442721 z^4 + 1246623 z^5 + 3170251 z^6 - 13562272 z^7 + 14751648 z^8 - 6956672 z^9 + 1251200 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-244992 + 1278784 z - 2377971 z^2 + 1524762 z^3 + 214774 z^4 + 168084 z^5 + 2123337 z^6 - 5036678 z^7 + 4518396 z^8 - 1895568 z^9 + 312800 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