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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9925.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 5, -z] == (1/(12814716915 Pi z^4)) (4096 (1 + z)^(1/4) (2 (55936 + 34960 z - 77349 z^2 + 351785 z^3 + 4785417 z^4 + 13580931 z^5 + 18443880 z^6 + 13605072 z^7 + 5279040 z^8 + 848640 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 2 Sqrt[1 + z] (-27968 + 3496 z + 32775 z^2 - 198835 z^3 + 888069 z^4 + 5815719 z^5 + 11112192 z^6 + 10186800 z^7 + 4642560 z^8 + 848640 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (55936 + 34960 z - 77349 z^2 + 351785 z^3 + 4785417 z^4 + 13580931 z^5 + 18443880 z^6 + 13605072 z^7 + 5279040 z^8 + 848640 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








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