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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 4 and fixed z > For fixed z and a=7/4, b>=a > For fixed z and a=7/4, b=13/4





http://functions.wolfram.com/07.23.03.aki0.01









  


  










Input Form





Hypergeometric2F1[7/4, 13/4, -(11/2), -z] == (1/(6336 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(21/2)) (3168 + 36144 z + 192262 z^2 + 641029 z^3 + 1548635 z^4 + 3166482 z^5 + 36436316 z^6 - 12992855 z^7 - 32045 z^8) + (1/(1 + z)^10) (2 (1584 + 17280 z + 87689 z^2 + 278731 z^3 + 644895 z^4 + 1290786 z^5 - 9754045 z^6 + 1249755 z^7 + 32045 z^8))))










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