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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=-21/4, b>=a > For fixed z and a=-21/4, b=17/4





http://functions.wolfram.com/07.23.03.a8t3.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((1/(1 + z)^4) (2 (-528 + 96 z + 57 z^2 - 221 z^3 + 533 z^4 - 1521 z^5 + 66528 z^6 + 180400 z^7 + 160512 z^8 + 47872 z^9))) + (1/(1 + z)^(9/2)) (1056 + 336 z - 342 z^2 + 475 z^3 - 884 z^4 + 2483 z^5 + 95304 z^6 + 214544 z^7 + 172480 z^8 + 47872 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