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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`=5/2





http://functions.wolfram.com/07.22.03.9527.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {5/2, 21/4}, -z] == (Sqrt[Pi] (4222757010346875 + 6682164939450000 z + 15839205782400000 z^2 - 118266069841920000 z^3 + 567677135241216000 z^4 + 336401265328128000 z^5 + 39431650148352000 z^6 + 1445927583744000 z^7 + 18360985190400 z^8 + 68719476736 z^9) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(-4222757010346875 - 2177890795080000 z - 9855505820160000 z^2 + 22431782880460800 z^3 + 19012623011020800 z^4 + 2383850231562240 z^5 + 89310489477120 z^6 + 1143535042560 z^7 + 4294967296 z^8)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (1407585670115625 + 1583920578240000 z - 9515409415142400 z^2 + 32351906016460800 z^3 + 20597275960934400 z^4 + 2447993450004480 z^5 + 90157067796480 z^6 + 1146756268032 z^7 + 4294967296 z^8) Sin[2 Sqrt[z]]))/(545495206330368000 z^(17/4))










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