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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=33/8





http://functions.wolfram.com/07.23.03.c4ji.01









  


  








Input Form





Hypergeometric2F1[13/8, 33/8, -(11/2), -z] == (1/(61440 (1 + z)^(85/8))) ((61440 + 679680 z + 3518880 z^2 + 11543315 z^3 + 28239369 z^4 + 63331110 z^5 + 251932170 z^6 - 89238345 z^7 - 4880435 z^8 - 261744 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (38400 + 432000 z + 2279130 z^2 + 7629185 z^3 + 19015350 z^4 + 42938550 z^5 - 113824494 z^6 + 3080945 z^7 + 163590 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