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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=29/8





http://functions.wolfram.com/07.23.03.c6ds.01









  


  








Input Form





Hypergeometric2F1[17/8, 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(81/8))) (2 (32256 + 380800 z + 2151890 z^2 + 8033259 z^3 + 24717030 z^4 + 108523506 z^5 - 152636510 z^6 + 14501595 z^7 + 341214 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 + 185360 z + 1019343 z^2 + 3712605 z^3 + 11274510 z^4 - 367291262 z^5 + 137792675 z^6 - 170607 z^7) 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