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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.aa7d.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {-(9/2), 23/4}, -z] == -((209 (13 Sqrt[Pi] (5475138755625 + 947051028000 z + 104358240000 z^2 + 10967040000 z^3 + 1754726400 z^4 - 534773760 z^5 + 16777216 z^6) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (23725601274375 - 6742101366000 z + 329043187200 z^2 + 170598400 z^3 - 437059584 z^4 + 13631488 z^5) Cos[2 Sqrt[z]] + (-71176803823125 + 63610260714000 z - 7505974694400 z^2 + 126705868800 z^3 - 447283200 z^4 + 13631488 z^5) Sin[2 Sqrt[z]])))/(3298534883328 z^(19/4)))










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