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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=31/8





http://functions.wolfram.com/07.23.03.b71p.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 31/8, 7/2, -z] == (64 (2 Sqrt[z] (19314 - 144855 z + 8855082 z^2 + 73956033 z^3 + 227319390 z^4 + 354152832 z^5 + 301340160 z^6 + 134086656 z^7 + 24510464 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (51504 - 378769 z + 6454095 z^2 + 80454657 z^3 + 283131185 z^4 + 475260192 z^5 + 424689408 z^6 + 195768320 z^7 + 36765696 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/(820867355 z^(5/2) (1 + z)^(3/8))








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