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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5sn.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, -(9/2), -z] == (1/(64512 (1 + z)^(9/2))) (-4 Sqrt[1 + z] (-16128 + 58688 z - 192225 z^2 + 711667 z^3 - 3658963 z^4 + 46998039 z^5 + 542446542 z^6 + 1581243840 z^7 + 2037619584 z^8 + 1237065984 z^9 + 289884672 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-16128 + 53648 z - 171743 z^2 + 642554 z^3 - 3405655 z^4 + 830082792 z^5 + 4577436072 z^6 + 9854152704 z^7 + 10479667968 z^8 + 5528033280 z^9 + 1159538688 z^10) Sinh[ArcSinh[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