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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=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





http://functions.wolfram.com/07.23.03.bcc2.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(9/2), -z] == (1/(45997056 (1 + z)^(43/8))) ((-(-45997056 + 43441664 z - 54612948 z^2 + 91594119 z^3 - 253281842 z^4 + 2098634931 z^5 + 29593756368 z^6 + 80450244864 z^7 + 94412685312 z^8 + 52170522624 z^9 + 11176771584 z^10)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (34497792 - 37612176 z + 47597741 z^2 - 77436078 z^3 + 203759001 z^4 + 16298747124 z^5 + 51911659008 z^6 + 65561785344 z^7 + 37905432576 z^8 + 8382578688 z^9) Sin[(3 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