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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=13/8, b>=a > For fixed z and a=13/8, b=41/8





http://functions.wolfram.com/07.23.03.c4ox.01









  


  








Input Form





Hypergeometric2F1[13/8, 41/8, -(11/2), -z] == (1/(135168 (1 + z)^(93/8))) ((135168 + 1670400 z + 9789280 z^2 + 36938705 z^3 + 105909201 z^4 + 283235810 z^5 + 1338394530 z^6 - 672545755 z^7 - 53303075 z^8 - 5627496 z^9 - 348992 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (168960 + 2119680 z + 12628892 z^2 + 48478645 z^3 + 141114705 z^4 + 379159330 z^5 - 1419789442 z^6 + 67949833 z^7 + 7116165 z^8 + 436240 z^9) Sin[(5 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