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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=19/8, b>=a > For fixed z and a=19/8, b=29/8





http://functions.wolfram.com/07.23.03.c79b.01









  


  










Input Form





Hypergeometric2F1[19/8, 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(21/2))) (2 Sqrt[1 + z] (32256 + 393344 z + 2311730 z^2 + 9066309 z^3 + 29788045 z^4 + 143977834 z^5 - 228756684 z^6 + 31332785 z^7 + 368621 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (48384 + 597072 z + 3549229 z^2 + 14054523 z^3 + 46385220 z^4 + 467929046 z^5 - 521175387 z^6 + 63034191 z^7 + 737242 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