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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, -(9/2), -z] == (1/(1440 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((720 + 3620 z + 6205 z^2 + 2541 z^3 - 2695 z^4 - 12629 z^5 - 13146 z^6 - 6000 z^7 - 1056 z^8)/(1 + z)^7 + (1/(1 + z)^(15/2)) (720 + 3980 z + 7925 z^2 + 5236 z^3 - 2002 z^4 + 23024 z^5 + 44293 z^6 + 35160 z^7 + 13584 z^8 + 2112 z^9)))








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