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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.9717.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {-(11/2), 19/4}, -z] == (Sqrt[Pi] (-84942397682517375 - 26714071015632000 z - 6476138428032000 z^2 - 2382027927552000 z^3 + 1905622342041600 z^4 - 232304437886976 z^5 + 12146637275136 z^6 - 328564998144 z^7 + 4294967296 z^8) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-28314132560839125 + 4038913117839600 z - 179892734112000 z^2 + 122195508277248 z^3 - 14670474706944 z^4 + 763125301248 z^5 - 20585644032 z^6 + 268435456 z^7) Cos[2 Sqrt[z]] + (84942397682517375 - 63891153179053200 z + 991979933817600 z^2 + 136334016000000 z^3 - 15315404783616 z^4 + 779407589376 z^5 - 20786970624 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/ (3324923162394624 z^(15/4))










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