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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`=-3/2





http://functions.wolfram.com/07.22.03.8749.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), 11/4}, -z] == (1/(1395193282560 z^(7/4))) (Sqrt[Pi] (-84666807225 - 243145702800 z + 1296777081600 z^2 - 1383228887040 z^3 + 2459073576960 z^4 + 605310418944 z^5 + 27128758272 z^6 + 268435456 z^7) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-28222269075 + 106252201440 z - 103536195840 z^2 + 147251478528 z^3 + 37520867328 z^4 + 1692401664 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] + (84666807225 + 152834441760 z - 138003022080 z^2 + 123930132480 z^3 + 36304257024 z^4 + 1679818752 z^5 + 16777216 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