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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b76n.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 39/8, 5/2, -z] == (16 (Sqrt[z] (-41847 + 9624474 z + 138007689 z^2 + 659028528 z^3 + 1478720256 z^4 + 1715650560 z^5 + 999358464 z^6 + 231735296 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (-13949 + 669552 z + 16613322 z^2 + 96140683 z^3 + 239353920 z^4 + 296734464 z^5 + 181043200 z^6 + 43450368 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (121755445 z^(3/2) (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