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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 3 and fixed z > For fixed z and a=16/3, b>=a > For fixed z and a=16/3, b=17/3





http://functions.wolfram.com/07.23.03.8888.01









  


  








Input Form





Hypergeometric2F1[16/3, 17/3, -(5/2), z] == ((1/Sqrt[1 - z]) (3 (-35389440 + 907542528 z - 14832369664 z^2 + 355316269056 z^3 + 4734714601287 z^4 + 10695687889352 z^5 + 6907814652936 z^6 + 1261138956960 z^7 + 43844620160 z^8) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (35389440 - 882638848 z + 14213971968 z^2 + 2603816212863 z^3 + 9914921698160 z^4 + 9114873503592 z^5 + 2234013099360 z^6 + 103565536640 z^7) Sin[ArcSin[Sqrt[z]]/3])/(106168320 (-1 + z)^13)








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