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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=15/8, b>=a > For fixed z and a=15/8, b=35/8





http://functions.wolfram.com/07.23.03.c5fb.01









  


  








Input Form





Hypergeometric2F1[15/8, 35/8, -(11/2), -z] == (1/(135168 (1 + z)^(87/8))) ((135168 + 1464576 z + 7427680 z^2 + 24052181 z^3 + 59959823 z^4 + 151552170 z^5 + 854110950 z^6 - 288748655 z^7 - 13671893 z^8 - 690064 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (118272 + 1362816 z + 7431074 z^2 + 26097143 z^3 + 70100470 z^4 + 179750010 z^5 - 368831390 z^6 + 12378023 z^7 + 603806 z^8) Sin[(7 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