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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=13/8





http://functions.wolfram.com/07.23.03.b6qn.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 13/8, 9/2, -z] == (1/(372194515 z^(7/2))) (256 (Sqrt[z] (-51504 - 348725 z - 811188 z^2 + 2000834 z^3 + 5014684 z^4 + 6355947 z^5 + 4923296 z^6 + 2351712 z^7 + 639744 z^8 + 76160 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) (8 (-8584 - 65453 z - 184556 z^2 - 22533 z^3 + 493182 z^4 + 962665 z^5 + 1070080 z^6 + 752993 z^7 + 332758 z^8 + 84728 z^9 + 9520 z^10) Sinh[(3 ArcSinh[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