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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=-23/8, b>=a > For fixed z and a=-23/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 47/8, -(7/2), -z] == (1/(722176 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-722176 - 870480 z + 1073995 z^2 - 2279771 z^3 + 14190033 z^4 + 98030911 z^5 + 191920520 z^6 + 177917520 z^7 + 81499968 z^8 + 14927616 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-180544 - 274040 z + 224471 z^2 - 471107 z^3 + 47559853 z^4 + 176262119 z^5 + 271624760 z^6 + 216801552 z^7 + 88963776 z^8 + 14927616 z^9) 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