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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=-5/8, b>=a > For fixed z and a=-5/8, b=37/8





http://functions.wolfram.com/07.23.03.bv3c.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 37/8, -(7/2), -z] == (1/(51968 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-51968 - 335472 z - 858835 z^2 - 947807 z^3 + 490245 z^4 + 922139 z^5 + 675786 z^6 + 248400 z^7 + 37536 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-19488 - 128644 z - 338633 z^2 - 392196 z^3 + 440450 z^4 + 615664 z^5 + 397647 z^6 + 133584 z^7 + 18768 z^8) 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