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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=45/8





http://functions.wolfram.com/07.23.03.b5s0.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 45/8, 21/4, z] == (1/(1479998648205 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (6970288 + 28551372 z + 137830743 z^2 + 1022789231 z^3 + 32571988269 z^4 - 270841243167 z^5 + 806365393328 z^6 - 1217825402112 z^7 + 1007812067328 z^8 - 437524037632 z^9 + 78237401088 z^10 + (1/Sqrt[1 - z]) (-6970288 - 25066228 z - 122683771 z^2 - 949869295 z^3 - 32041308073 z^4 + 333514964015 z^5 - 1243224362424 z^6 + 2426357347392 z^7 - 2753903910912 z^8 + 1838554415104 z^9 - 672469090304 z^10 + 104316534784 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