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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=9/2





http://functions.wolfram.com/07.22.03.9599.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {9/2, -(3/4)}, -z] == (1/(54820022400 z^(7/2))) (-2 Sqrt[z] (29462808375 + 3235131900 z + 5688144000 z^2 - 4572564480 z^3 + 8239841280 z^4 + 1619896320 z^5 + 61145088 z^6 + 524288 z^7) Cos[2 Sqrt[z]] - 2048 Sqrt[Pi] z^(21/4) (75004875 + 13091760 z + 481536 z^2 + 4096 z^3) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + (29462808375 - 36048612600 z - 9101030400 z^2 + 10112256000 z^3 - 10024058880 z^4 + 74482974720 z^5 + 13315227648 z^6 + 492306432 z^7 + 4194304 z^8) 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