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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=-43/8





http://functions.wolfram.com/07.23.03.b64v.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(43/8), 7/2, z] == (1/(818318345845 z^(5/2))) (64 (Sqrt[z] (1661004 - 70731087 z + 16251759769 z^2 + 190366687557 z^3 + 569105461685 z^4 + 576099752371 z^5 + 201639601707 z^6 + 20646891671 z^7 + 332864763 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-2214672 + 96199815 z - 4701194988 z^2 - 97813765392 z^3 - 296493293548 z^4 - 73024354618 z^5 + 289242942300 z^6 + 162733071688 z^7 + 19629744652 z^8 + 332864763 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