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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=-29/8, b>=a > For fixed z and a=-29/8, b=15/8





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









  


  










Input Form





Hypergeometric2F1[-(29/8), 15/8, 7/2, -z] == (1/(5635245 z^(5/2) (1 + z)^(3/8))) (64 (2 Sqrt[z] (-6786 - 16965 z + 78082 z^2 + 213483 z^3 + 228630 z^4 + 115840 z^5 + 23040 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - (-18096 - 47879 z + 84825 z^2 + 278727 z^3 + 319495 z^4 + 168720 z^5 + 34560 z^6) Sin[(3 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