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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 3 and fixed z > For fixed z and a=4/3, b>=a > For fixed z and a=4/3, b=14/3





http://functions.wolfram.com/07.23.03.7990.01









  


  










Input Form





Hypergeometric2F1[4/3, 14/3, -(11/2), z] == ((1/Sqrt[1 - z]) ((-110854656 + 1406398464 z - 8395121664 z^2 + 31712536576 z^3 - 87518379520 z^4 + 204438558720 z^5 - 641803728896 z^6 - 778566502399 z^7 + 15115726086 z^8 - 1655040440 z^9 + 104137376 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-36951552 + 442796544 z - 2489614848 z^2 + 8851527168 z^3 - 23119483904 z^4 + 52473422848 z^5 + 372807304189 z^6 + 14327257382 z^7 - 1602971752 z^8 + 104137376 z^9) Sin[ArcSin[Sqrt[z]]/3])/ (110854656 (-1 + z)^11)










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