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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=3/8, b>=a > For fixed z and a=3/8, b=23/8





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









  


  










Input Form





Hypergeometric2F1[3/8, 23/8, -(11/2), -z] == (1/(4730880 (1 + z)^(67/8))) ((4730880 + 39217920 z + 143963680 z^2 + 308254255 z^3 + 429527948 z^4 + 424587226 z^5 + 426930140 z^6 + 68395951 z^7 + 6970288 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (887040 + 7224000 z + 25969335 z^2 + 54237965 z^3 + 73389464 z^4 + 70374052 z^5 - 12633647 z^6 - 1306929 z^7) 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