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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.ccqa.01









  


  








Input Form





Hypergeometric2F1[35/8, 47/8, -(11/2), -z] == (1/(405504 (1 + z)^(123/8))) ((405504 + 8015616 z + 79523360 z^2 + 544613307 z^3 + 3083006505 z^4 + 17861975131 z^5 + 193950625869 z^6 - 840206569755 z^7 + 671825831803 z^8 - 132093944535 z^9 + 3836505519 z^10 + 34798236 z^11) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (304128 + 5967360 z + 58782444 z^2 + 400082191 z^3 + 2255783145 z^4 + 13080013947 z^5 - 531716810555 z^6 + 894149416461 z^7 - 358334761701 z^8 + 31228729385 z^9 - 26098677 z^10) 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