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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=31/8, b>=a > For fixed z and a=31/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[31/8, 43/8, -(11/2), -z] == (1/(946176 (1 + z)^(111/8))) ((946176 + 15262464 z + 122347680 z^2 + 675139919 z^3 + 3126227650 z^4 + 15650391757 z^5 + 167288289168 z^6 - 345873005415 z^7 + 118467046922 z^8 - 5360287765 z^9 - 57792860 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1655808 + 27847680 z + 233182572 z^2 + 1340627813 z^3 + 6382831910 z^4 + 31721000311 z^5 - 312685983360 z^6 + 249549284131 z^7 - 35031353266 z^8 + 101137505 z^9) Sin[(7 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