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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=9/8, b>=a > For fixed z and a=9/8, b=45/8





http://functions.wolfram.com/07.23.03.c2s7.01









  


  








Input Form





Hypergeometric2F1[9/8, 45/8, -(11/2), -z] == (1/(315392 (1 + z)^(97/8))) ((315392 + 4177152 z + 26115040 z^2 + 103700073 z^3 + 302086638 z^4 + 748662967 z^5 + 2520055252 z^6 - 1762555545 z^7 - 265402482 z^8 - 50200487 z^9 - 6906960 z^10 - 474880 z^11) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (19712 + 254912 z + 1554147 z^2 + 6015657 z^3 + 17117720 z^4 + 41876172 z^5 - 840717413 z^6 + 15681057 z^7 + 3007962 z^8 + 422410 z^9 + 29680 z^10) Sin[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