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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=29/8





http://functions.wolfram.com/07.23.03.b6zt.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 29/8, 1/2, z] == (1/451) ((451 - 21537 z + 178590 z^2 - 568784 z^3 + 849312 z^4 - 601344 z^5 + 163328 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (2 Sqrt[z] (2181 - 36896 z + 194011 z^2 - 464240 z^3 + 564784 z^4 - 341504 z^5 + 81664 z^6) Sin[(3 ArcSin[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