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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=23/8





http://functions.wolfram.com/07.23.03.b6x2.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 23/8, 23/4, z] == (1/(3597605535 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (2455024 - 12888876 z + 19737835 z^2 + 2845596 z^3 + 9959586 z^4 - 58185560 z^5 + 106404283 z^6 - 103555280 z^7 + 58120832 z^8 - 17864704 z^9 + 2342912 z^10 + (1/Sqrt[1 - z]) (-2455024 + 14116388 z - 25875395 z^2 + 5565651 z^3 - 6779214 z^4 + 176743498 z^5 - 498987151 z^6 + 693921135 z^7 - 568562208 z^8 + 280842496 z^9 - 77901824 z^10 + 9371648 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