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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=39/8





http://functions.wolfram.com/07.23.03.c7h5.01









  


  








Input Form





Hypergeometric2F1[19/8, 39/8, -(11/2), -z] == (1/(45056 (1 + z)^(99/8))) ((45056 + 639744 z + 4379424 z^2 + 19669991 z^3 + 68396130 z^4 + 223498473 z^5 + 1231581868 z^6 - 1786963287 z^7 + 227559618 z^8 + 8434855 z^9 + 322608 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (8448 + 118720 z + 804111 z^2 + 3574692 z^3 + 12328052 z^4 + 40216011 z^5 - 509900505 z^6 + 224569690 z^7 - 1572714 z^8 - 60489 z^9) Sin[(3 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