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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=43/8, b>=a > For fixed z and a=43/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[43/8, 45/8, -(11/2), -z] == (1/(11669504 (1 + z)^(33/2))) ((-Sqrt[1 + z]) (-11669504 - 254143232 z - 2797374048 z^2 - 21409030983 z^3 - 136328883096 z^4 - 891426468324 z^5 - 10843233810472 z^6 + 68713990688246 z^7 - 83498274369192 z^8 + 29962252766428 z^9 - 2935150313144 z^10 + 43419498969 z^11) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-8752128 - 191883776 z - 2125029732 z^2 - 16345932039 z^3 - 104409006184 z^4 - 682144589028 z^5 - 24586291785504 z^6 + 99157810840630 z^7 - 101210039034936 z^8 + 32863277218908 z^9 - 3027794211932 z^10 + 43419498969 z^11) 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