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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=-41/8, b>=a > For fixed z and a=-41/8, b=19/8





http://functions.wolfram.com/07.23.03.b970.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 7/2, -z] == -((64 (4 Sqrt[z] (-73185 - 48790 z - 964684 z^2 - 1575222 z^3 + 418133 z^4 + 3632244 z^5 + 4103008 z^6 + 1996288 z^7 + 372736 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (-167280 + 3485 z + 683060 z^2 + 12558798 z^3 + 37057412 z^4 + 51895613 z^5 + 39449312 z^6 + 15767808 z^7 + 2609152 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (315679819 z^(5/2) (1 + z)^(7/8)))








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