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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





http://functions.wolfram.com/07.23.03.bpf5.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(11/2), -z] == (1/(1667072 (1 + z)^(73/8))) ((1667072 + 11963136 z + 34346656 z^2 + 46383015 z^3 + 20588724 z^4 - 10350158 z^5 + 27730612 z^6 + 91105119 z^7 + 101728560 z^8 + 59207296 z^9 + 18180096 z^10 + 2342912 z^11) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (416768 + 2860544 z + 7726932 z^2 + 9398037 z^3 + 2734004 z^4 - 2929290 z^5 - 16978784 z^6 - 21550467 z^7 - 13486752 z^8 - 4361984 z^9 - 585728 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