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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=23/4





http://functions.wolfram.com/07.23.03.a7uu.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 7/2, -z] == (4 Sqrt[2] (-92 + 1633 z - 50462 z^2 - 960615 z^3 - 4760756 z^4 - 10641488 z^5 - 12163840 z^6 - 6958848 z^7 - 1584128 z^8 + (1/Sqrt[1 + z]) (92 - 1587 z + 49634 z^2 + 1294489 z^3 + 8263904 z^4 + 24336312 z^5 + 38757888 z^6 + 34567936 z^7 + 16293888 z^8 + 3168256 z^9)))/(2467465 z^(5/2) Sqrt[-1 + 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