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2.10.E19 - MaRDI portal

2.10.E19 (Q977)

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2.10.E19
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    Statements

    DLMF defining formula
    F 2 0 ⁡ ( - ; 1 , 1 ; x ) = ∑ j = 0 ∞ x j ( j ! ) 3 . Gauss-hypergeometric-pFq 0 2 1 1 𝑥 superscript subscript 𝑗 0 superscript 𝑥 𝑗 superscript 𝑗 3 {\displaystyle{\displaystyle{{}_{0}F_{2}}\left(-;1,1;x\right)=\sum_{j=0}^{% \infty}\frac{x^{j}}{(j!)^{3}}.}}
    0 references
    Symbols used
    alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
    DLMF defining formula
    F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
    xml-id
    C16.S2.m1adec
    0 references
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references

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