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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=-35/8, b>=a > For fixed z and a=-35/8, b=9/8





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









  


  










Input Form





Hypergeometric2F1[-(35/8), 9/8, 11/2, -z] == -((1024 (2 Sqrt[z] (5600 + 48100 z + 180725 z^2 + 381850 z^3 + 259270 z^4 + 393500 z^5 + 305725 z^6 + 144830 z^7 + 39040 z^8 + 4608 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (8960 + 75280 z + 275003 z^2 + 558985 z^3 + 574070 z^4 + 1129370 z^5 + 832735 z^6 + 380429 z^7 + 99760 z^8 + 11520 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (340237183 z^(9/2) (1 + z)^(5/8)))










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