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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=17/8, b>=a > For fixed z and a=17/8, b=45/8





http://functions.wolfram.com/07.23.03.c6qb.01









  


  










Input Form





Hypergeometric2F1[17/8, 45/8, -(9/2), -z] == (1/(7168 (1 + z)^(97/8))) (4 (1792 + 26432 z + 191865 z^2 + 953193 z^3 + 4088058 z^4 + 26589992 z^5 - 63317163 z^6 + 12321705 z^7 + 863688 z^8 + 78758 z^9 + 4240 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1792 + 25872 z + 183927 z^2 + 897762 z^3 + 3821545 z^4 - 230661028 z^5 + 158039097 z^6 - 839838 z^7 - 77433 z^8 - 4240 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