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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=-3/8





http://functions.wolfram.com/07.23.03.b6im.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(3/8), 7/2, z] == (1/(820867355 z^(5/2))) (64 (-2 Sqrt[z] (-19314 + 299367 z - 10409859 z^2 - 16702002 z^3 + 3212640 z^4 - 1182453 z^5 + 353349 z^6 - 68448 z^7 + 6256 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((51504 - 842305 z + 11338391 z^2 + 20344124 z^3 - 36360194 z^4 + 7527463 z^5 - 2701925 z^6 + 773582 z^7 - 143152 z^8 + 12512 z^9) 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