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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=-17/4, b>=a > For fixed z and a=-17/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((1/(1 + z)^(11/2)) (2 (-528 - 1104 z - 167 z^2 + 146 z^3 - 195 z^4 + 416 z^5 + 11108 z^6 + 20856 z^7 + 14432 z^8 + 3520 z^9))) + (1/(1 + z)^5) (1056 + 1680 z - 374 z^2 + 39 z^3 + 260 z^4 - 897 z^5 + 32200 z^6 + 71632 z^7 + 54208 z^8 + 14080 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