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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=-33/8, b>=a > For fixed z and a=-33/8, b=27/8





http://functions.wolfram.com/07.23.03.bec9.01









  


  








Input Form





Hypergeometric2F1[-(33/8), 27/8, 11/2, -z] == -((1024 (8 Sqrt[z] (166600 + 467075 z + 101745 z^2 - 112455 z^3 - 1810967 z^4 - 1310460 z^5 + 2612638 z^6 + 4630416 z^7 + 2693376 z^8 + 559104 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] - (761600 + 1611600 z - 970105 z^2 - 749700 z^3 + 3073770 z^4 + 46420108 z^5 + 99506183 z^6 + 94112928 z^7 + 43088640 z^8 + 7827456 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (19707440129 z^(9/2) (1 + z)^(7/8)))








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