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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, -(9/2), -z] == (1/(525312 (1 + z)^(39/8))) (4 (131328 + 40128 z - 237633 z^2 + 217569 z^3 - 30096 z^4 - 895356 z^5 + 186592 z^6 + 1289728 z^7 + 585728 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (919296 + 912912 z - 1075305 z^2 + 753654 z^3 + 359271 z^4 - 9274720 z^5 - 11846912 z^6 - 4100096 z^7) 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