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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=-17/8, b>=a > For fixed z and a=-17/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(17/8), 43/8, -(11/2), -z] == (1/(1576960 (1 + z)^(63/8))) ((1576960 + 6728960 z + 7733600 z^2 - 3815295 z^3 - 9133509 z^4 + 7685139 z^5 + 13013385 z^6 - 6526128 z^7 - 19062400 z^8 - 11511808 z^9 - 2342912 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (2759680 + 13672960 z + 22815380 z^2 + 8448825 z^3 - 11029557 z^4 + 5683755 z^5 + 44142501 z^6 + 48971104 z^7 + 22964480 z^8 + 4100096 z^9) Sin[(7 ArcTan[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