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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=47/8





http://functions.wolfram.com/07.23.03.b7cc.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, 11/2, -z] == (1024 (2 Sqrt[z] (3605280 - 14528420 z + 62973297 z^2 - 382320630 z^3 + 21085188241 z^4 + 169940763564 z^5 + 509299765920 z^6 + 779052527616 z^7 + 653785989120 z^8 + 287801868288 z^9 + 52158267392 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - (9614080 - 37340400 z + 161957547 z^2 - 993586197 z^3 + 15644002005 z^4 + 186071924181 z^5 + 636212273840 z^6 + 1046937044736 z^7 + 922000932864 z^8 + 420293181440 z^9 + 78237401088 z^10) Sin[(3 ArcTan[Sqrt[z]])/4]))/(31048838635815 z^(9/2) (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