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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=41/8





http://functions.wolfram.com/07.23.03.bd9c.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(9/2), -z] == (1/(783360 (1 + z)^(37/8))) (-4 (-195840 + 223040 z - 186915 z^2 + 74970 z^3 + 306680 z^4 - 3441735 z^5 + 13926080 z^6 + 49870080 z^7 + 47284224 z^8 + 14483456 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (979200 - 931600 z + 730065 z^2 - 198390 z^3 - 1609135 z^4 + 117969184 z^5 + 294018816 z^6 + 249999360 z^7 + 72417280 z^8) Sin[(5 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