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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, 11/2, z] == (1/(24192643475 z^(9/2))) (1024 (-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) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((1922816 - 10901680 z + 20583359 z^2 - 7240604 z^3 + 6414394 z^4 - 64954892 z^5 + 133756575 z^6 - 138046368 z^7 + 80537568 z^8 - 25498368 z^9 + 3427200 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