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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 3 and fixed z > For fixed z and a=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5452.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 17/3, -(11/2), -z] == (1/(216513 (1 + z)^(13/2))) ((-(-216513 - 378351 z + 52515 z^2 - 61883 z^3 + 116981 z^4 - 365981 z^5 + 3196193 z^6 + 20973550 z^7 + 41128464 z^8 + 38120992 z^9 + 17388800 z^10 + 3161600 z^11)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (72171 + 75330 z - 64971 z^2 + 69436 z^3 - 93995 z^4 + 196482 z^5 + 10135190 z^6 + 27600768 z^7 + 30612192 z^8 + 15808000 z^9 + 3161600 z^10) Sinh[ArcSinh[Sqrt[z]]/3])










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