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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=15/4, b>=a > For fixed z and a=15/4, b=21/4





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









  


  










Input Form





Hypergeometric2F1[15/4, 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(29/2)) (1056 + 18960 z + 168306 z^2 + 1010599 z^3 + 4873385 z^4 + 23021427 z^5 + 1288201505 z^6 - 2445415147 z^7 + 1027742187 z^8 - 90578815 z^9 - 59015 z^10) + (1/(1 + z)^14) (2 (528 + 9216 z + 79611 z^2 + 466613 z^3 + 2212782 z^4 + 10458019 z^5 - 459589926 z^6 + 583093067 z^7 - 151582330 z^8 + 5370365 z^9 + 59015 z^10))))










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