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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=37/8





http://functions.wolfram.com/07.23.03.b756.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, 9/2, z] == (1/(4838528695 z^(7/2))) (256 (Sqrt[z] (8880 + 37111 z + 212787 z^2 + 22032121 z^3 - 153701607 z^4 + 422678820 z^5 - 606164240 z^6 + 482680320 z^7 - 203216640 z^8 + 35425280 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-11840 - 39368 z - 241055 z^2 - 3931287 z^3 + 69908847 z^4 - 312468517 z^5 + 676743140 z^6 - 824316400 z^7 + 579860480 z^8 - 220929280 z^9 + 35425280 z^10) Sin[(3 ArcSin[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