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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=-45/8, b>=a > For fixed z and a=-45/8, b=47/8





http://functions.wolfram.com/07.23.03.b7b3.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, -(9/2), -z] == (1/(5110784 (1 + z)^(35/8))) (-4 (-1277696 + 4152512 z - 12327057 z^2 + 41627079 z^3 - 196109224 z^4 + 2315959470 z^5 + 39171200464 z^6 + 126628919296 z^7 + 172458688512 z^8 + 108507824128 z^9 + 26079133696 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (3833088 - 13016528 z + 39007517 z^2 - 131065086 z^3 + 608985421 z^4 + 82489890736 z^5 + 320003337984 z^6 + 474182500352 z^7 + 314113851392 z^8 + 78237401088 z^9) 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