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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`=5/2





http://functions.wolfram.com/07.22.03.8921.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {5/2, -(9/4)}, -z] == (1/(4906024200 z^(3/2))) (-2 Sqrt[z] (723647925 - 330311520 z + 108138240 z^2 - 71221248 z^3 + 447283200 z^4 + 37060608 z^5 + 524288 z^6) Cos[2 Sqrt[z]] - 8192 Sqrt[Pi] z^(19/4) (221697 + 18144 z + 256 z^2) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + (723647925 + 1157836680 z - 362880000 z^2 + 152893440 z^3 - 210567168 z^4 - 18333696 z^5 - 262144 z^6) 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