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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=5/8, b>=a > For fixed z and a=5/8, b=33/8





http://functions.wolfram.com/07.23.03.c07s.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(11/2), -z] == (1/(12288 (1 + z)^(77/8))) ((12288 + 114432 z + 481568 z^2 + 1219547 z^3 + 2123980 z^4 + 2968170 z^5 + 6147540 z^6 + 1069075 z^7 + 195160 z^8 + 18368 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (15360 + 145920 z + 628852 z^2 + 1638073 z^3 + 2944532 z^4 + 4218798 z^5 - 1382192 z^6 - 248255 z^7 - 22960 z^8) Sin[(5 ArcTan[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