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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=1/2





http://functions.wolfram.com/07.22.03.8837.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {1/2, 3/4}, -z] == (1/4044902400) (Sqrt[Pi] z^(1/4) (13749310575 + 73329656400 z + 37246809600 z^2 + 4167475200 z^3 + 130744320 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 (4 (505612800 + 4234738725 z + 2282273280 z^2 + 258961920 z^3 + 8159232 z^4 + 65536 z^5) Cos[2 Sqrt[z]] + Sqrt[z] (3127028625 + 2111739840 z + 253048320 z^2 + 8110080 z^3 + 65536 z^4) Sin[2 Sqrt[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