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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`=7/2





http://functions.wolfram.com/07.22.03.8965.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, -(13/4)}, -z] == (1/(1581702202080 z^(5/2))) (2 Sqrt[z] (-948702429675 - 219988969200 z + 21275654400 z^2 - 2426941440 z^3 + 474808320 z^4 - 242221056 z^5 + 1358954496 z^6 + 33554432 z^7) Cos[2 Sqrt[z]] + 8388608 Sqrt[Pi] z^(27/4) (651 + 16 z) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + (948702429675 - 1044947603700 z + 138940401600 z^2 - 13699445760 z^3 + 1966325760 z^4 - 578027520 z^5 + 666894336 z^6 + 16777216 z^7) 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