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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`=-9/2





http://functions.wolfram.com/07.22.03.8609.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 15/4}, -z] == -((11 (Sqrt[Pi] (664057163030625 + 418715846640000 z + 312641165491200 z^2 - 476405585510400 z^3 + 112095431884800 z^4 - 12263431864320 z^5 + 838525255680 z^6 - 45097156608 z^7 + 4294967296 z^8) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (221352387676875 + 38382285942000 z - 31791129350400 z^2 + 7186627768320 z^3 - 778128261120 z^4 + 53046411264 z^5 - 2868903936 z^6 + 268435456 z^7) Cos[2 Sqrt[z]] + (-664057163030625 + 289611793926000 z - 45903663187200 z^2 + 8152119521280 z^3 - 834857533440 z^4 + 56041144320 z^5 - 3070230528 z^6 + 268435456 z^7) Sin[2 Sqrt[z]])))/ (7792788661862400 z^(11/4)))










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