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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=-19/4, b>=a > For fixed z and a=-19/4, b=1/4





http://functions.wolfram.com/07.23.03.a9d6.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 1/4, 6, z] == (1/(38444150745 Pi z^5)) (16384 (2 Sqrt[1 - z] (2048 - 22560 z + 117219 z^2 - 397145 z^3 + 1149078 z^4 + 1149078 z^5 - 397145 z^6 + 117219 z^7 - 22560 z^8 + 2048 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (2048 - 24096 z + 133995 z^2 - 483539 z^3 + 1439382 z^4 - 4381062 z^5 - 106841 z^6 + 30825 z^7 - 5784 z^8 + 512 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (2048 - 22560 z + 117219 z^2 - 397145 z^3 + 1149078 z^4 + 1149078 z^5 - 397145 z^6 + 117219 z^7 - 22560 z^8 + 2048 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])]))










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02