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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=-21/8, b>=a > For fixed z and a=-21/8, b=29/8





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









  


  










Input Form





Hypergeometric2F1[-(21/8), 29/8, -(11/2), -z] == (1/(135168 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-135168 - 615168 z - 971104 z^2 - 491487 z^3 + 89631 z^4 - 68701 z^5 + 140829 z^6 + 442152 z^7 + 319056 z^8 + 75072 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-101376 - 476160 z - 786372 z^2 - 439369 z^3 + 54901 z^4 - 36547 z^5 + 326715 z^6 + 592296 z^7 + 356592 z^8 + 75072 z^9) Sinh[(3 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