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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.c6dn.01









  


  










Input Form





Hypergeometric2F1[17/8, 29/8, -(11/2), -z] == (1/(2838528 (1 + z)^(89/8))) ((2838528 + 35465472 z + 209427680 z^2 + 789423037 z^3 + 2212214433 z^4 + 5454281118 z^5 + 20037379362 z^6 - 23991853495 z^7 + 1987742157 z^8 + 41628108 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (709632 + 8644608 z + 49713692 z^2 + 182499213 z^3 + 499752825 z^4 + 1220478402 z^5 - 31158206642 z^6 + 10090598177 z^7 - 10407027 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