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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=-45/8, b>=a > For fixed z and a=-45/8, b=-25/8





http://functions.wolfram.com/07.23.03.b6bd.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(25/8), 23/4, z] == (1/(1418345400981 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (85840 - 1875604 z + 22031909 z^2 - 206735983 z^3 + 2474042925 z^4 + 70660421133 z^5 + 166279602531 z^6 + 98988626579 z^7 + 13707743647 z^8 - 5194205 z^9 + 134044 z^10 + (1/Sqrt[1 - z]) (-85840 + 1918524 z - 22958981 z^2 + 217522852 z^3 - 2574770800 z^4 - 25124641812 z^5 - 14544487794 z^6 + 26694498364 z^7 + 14458094232 z^8 + 915520520 z^9 - 21145441 z^10 + 536176 z^11)))










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