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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=15/8, b>=a > For fixed z and a=15/8, b=43/8





http://functions.wolfram.com/07.23.03.c5lc.01









  


  








Input Form





Hypergeometric2F1[15/8, 43/8, -(3/2), -z] == (1/(112 (1 + z)^(63/8))) ((112 + 1463 z + 20405 z^2 - 29491 z^3 - 3465 z^4 - 616 z^5 - 64 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (196 + 2695 z - 37323 z^2 + 6853 z^3 + 1155 z^4 + 112 z^5) Sin[(7 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