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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=39/8, b>=a > For fixed z and a=39/8, b=43/8





http://functions.wolfram.com/07.23.03.cda5.01









  


  










Input Form





Hypergeometric2F1[39/8, 43/8, -(17/4), z] == (-2 (-75888 + 1544544 z - 16435053 z^2 + 131144601 z^3 - 1065462405 z^4 + 25153449321 z^5 + 100099589953 z^6 + 86144682547 z^7 + 19693020193 z^8 + 880806507 z^9) + (1/Sqrt[1 - z]) (151776 - 3164976 z + 34395678 z^2 - 278347605 z^3 + 2258147787 z^4 - 51341512761 z^5 - 237755599741 z^6 - 247155400415 z^7 - 75776728335 z^8 - 5986107043 z^9 - 55205885 z^10))/ (151776 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^14)










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