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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by5o.01









  


  










Input Form





Hypergeometric2F1[1/8, 45/8, -(7/2), -z] == (1/(66304 (1 + z)^(73/8))) ((66304 + 616272 z + 2581379 z^2 + 6514664 z^3 + 12303018 z^4 + 9742252 z^5 + 6003595 z^6 + 2457300 z^7 + 594944 z^8 + 64512 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16576 + 148888 z + 600177 z^2 + 1452620 z^3 - 2059954 z^4 - 1333644 z^5 - 570743 z^6 - 143696 z^7 - 16128 z^8) 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