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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=35/8, b>=a > For fixed z and a=35/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[35/8, 47/8, -(9/2), -z] == (1/(9216 (1 + z)^(115/8))) (2 (4608 + 91264 z + 935166 z^2 + 7032633 z^3 + 50635442 z^4 + 653004495 z^5 - 3348458412 z^6 + 3077705447 z^7 - 683313846 z^8 + 22134321 z^9 + 220242 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (6912 + 135888 z + 1383163 z^2 + 10351671 z^3 + 74487699 z^4 - 3915962921 z^5 + 7661290521 z^6 - 3495318627 z^7 + 341597273 z^8 - 330363 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