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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=37/8, b>=a > For fixed z and a=37/8, b=41/8





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









  


  








Input Form





Hypergeometric2F1[37/8, 41/8, -(11/2), -z] == (1/(45056 (1 + z)^(117/8))) ((45056 + 817920 z + 7433760 z^2 + 46650975 z^3 + 243562995 z^4 + 1327892423 z^5 + 14257632675 z^6 - 44977904955 z^7 + 26097878865 z^8 - 3344112875 z^9 + 46574073 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (28160 + 516480 z + 4742082 z^2 + 30030585 z^3 + 157718860 z^4 + 858641355 z^5 - 16500964830 z^6 + 20546557935 z^7 - 5733222480 z^8 + 292447405 z^9) Sin[(5 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