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





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









  


  










Input Form





HypergeometricPFQ[{11/4}, {-(11/2), -(15/4)}, -z] == (1/(756392175 z^(1/4))) (Sqrt[2] ((756392175 + 1411932060 z + 317837520 z^2 - 280748160 z^3 + 70076160 z^4 + 2838528 z^5 + 38338560 z^6 - 1048576 z^7) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (252130725 + 134469720 z - 137380320 z^2 + 39916800 z^3 - 7096320 z^4 + 3571712 z^5 + 2097152 z^6) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (756392175 - 605113740 z + 202577760 z^2 - 43243200 z^3 + 10644480 z^4 - 5062656 z^5 + 262144 z^6) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










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