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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=9/8, b>=a > For fixed z and a=9/8, b=45/8





http://functions.wolfram.com/07.23.03.c2sc.01









  


  








Input Form





Hypergeometric2F1[9/8, 45/8, -(9/2), -z] == (1/(7168 (1 + z)^(89/8))) ((7168 + 89600 z + 533460 z^2 + 2070597 z^3 + 6405945 z^4 + 25780898 z^5 - 21240570 z^6 - 3645735 z^7 - 775203 z^8 - 118480 z^9 - 8960 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1792 + 21840 z + 126687 z^2 + 479775 z^3 + 1461070 z^4 - 37469458 z^5 + 855915 z^6 + 184947 z^7 + 28920 z^8 + 2240 z^9) Sin[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