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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=17/8, b>=a > For fixed z and a=17/8, b=37/8





http://functions.wolfram.com/07.23.03.c6jy.01









  


  








Input Form





Hypergeometric2F1[17/8, 37/8, -(9/2), -z] == (1/(64512 (1 + z)^(89/8))) ((64512 + 856576 z + 5529140 z^2 + 24055473 z^3 + 88597509 z^4 + 482718522 z^5 - 913030274 z^6 + 131867445 z^7 + 6183033 z^8 + 282384 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 + 209104 z + 1318263 z^2 + 5618379 z^3 + 20493330 z^4 - 938265562 z^5 + 496717579 z^6 - 1523697 z^7 - 70596 z^8) Sin[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