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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=-27/8





http://functions.wolfram.com/07.23.03.b6a0.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(27/8), 11/2, -z] == (1024 (Sqrt[z] Sqrt[1 + z] (206016 + 4678280 z + 58550391 z^2 + 620491221 z^3 + 35806132783 z^4 - 183030545223 z^5 + 223077492705 z^6 - 77826512065 z^7 + 5683029957 z^8 + 67457643 z^9 + 1474484 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (274688 + 6472336 z + 83386049 z^2 + 893800416 z^3 + 15110166264 z^4 - 107321985156 z^5 + 59901726802 z^6 + 110189400284 z^7 - 65678011856 z^8 + 5716574468 z^9 + 68194885 z^10 + 1474484 z^11) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (25601673962865 z^(9/2) Sqrt[1 + z])










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