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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=7/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 7/8, 9/2, -z] == (256 (Sqrt[z] (51504 + 436711 z + 1673880 z^2 + 6577506 z^3 + 6275516 z^4 + 4436367 z^5 + 2036820 z^6 + 544768 z^7 + 64512 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (68672 + 592296 z + 2314461 z^2 + 5970172 z^3 + 4294134 z^4 + 3125460 z^5 + 1470677 z^6 + 401520 z^7 + 48384 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (596530935 z^(7/2) (1 + z)^(3/8))








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