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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=5/2





http://functions.wolfram.com/07.22.03.a9kp.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {5/2, 23/4}, -z] == (19 (Sqrt[Pi] (-24312605625 - 20170458000 z - 17603308800 z^2 - 67060224000 z^3 + 119218176000 z^4 + 163499212800 z^5 + 15854469120 z^6 + 268435456 z^7) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-8104201875 - 3018708000 z - 3392928000 z^2 + 5898977280 z^3 + 10039787520 z^4 + 987758592 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] + (24312605625 - 5762988000 z + 2674425600 z^2 + 975421440 z^3 + 9351659520 z^4 + 975175680 z^5 + 16777216 z^6) Sin[2 Sqrt[z]])))/(3607772528640 z^(19/4))










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