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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





http://functions.wolfram.com/07.23.03.bd97.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(11/2), -z] == (1/(225280 (1 + z)^(45/8))) ((225280 + 172800 z - 258400 z^2 + 254575 z^3 - 201450 z^4 + 19635 z^5 + 1290300 z^6 - 5977600 z^7 - 16040960 z^8 - 12779520 z^9 - 3407872 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (281600 + 268800 z - 281180 z^2 + 260525 z^3 - 192950 z^4 - 23375 z^5 + 11334560 z^6 + 23066368 z^7 + 16773120 z^8 + 4259840 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