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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=17/4





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









  


  










Input Form





Hypergeometric2F1[15/4, 17/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(27/2)) (2 (528 + 8592 z + 68391 z^2 + 363386 z^3 + 1524809 z^4 + 6132412 z^5 + 258935433 z^6 - 384530534 z^7 + 115979735 z^8 - 6194560 z^9)) + (1/(1 + z)^13) (1056 + 16656 z + 128586 z^2 + 664495 z^3 + 2732444 z^4 + 10974249 z^5 - 356060646 z^6 + 336858625 z^7 - 58013760 z^8 + 1003255 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