DLMF:31.10.E19 (Q9072): Difference between revisions

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Property / Symbols used: Q11430 / rank
 
Normal rank
Property / Symbols used: Q11430 / qualifier
 
Defining formula:

𝒞 ν ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\BesselC{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Q11430 / qualifier
 
xml-id: C10.S2.Px5.p1.m3adec

Revision as of 13:38, 2 January 2020

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DLMF:31.10.E19
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    𝒦 ( u , v , w ) = u 1 - γ v 1 - δ w 1 - ϵ 𝒞 1 - γ ( u σ 1 ) 𝒞 1 - δ ( v σ 2 ) 𝒞 1 - ϵ ( i w σ 1 + σ 2 ) , 𝒦 𝑢 𝑣 𝑤 superscript 𝑢 1 𝛾 superscript 𝑣 1 𝛿 superscript 𝑤 1 italic-ϵ cylinder-function 1 𝛾 𝑢 subscript 𝜎 1 cylinder-function 1 𝛿 𝑣 subscript 𝜎 2 cylinder-function 1 italic-ϵ imaginary-unit 𝑤 subscript 𝜎 1 subscript 𝜎 2 {\displaystyle{\displaystyle\mathcal{K}(u,v,w)=u^{1-\gamma}v^{1-\delta}w^{1-% \epsilon}\mathscr{C}_{1-\gamma}\left(u\sqrt{\sigma_{1}}\right)\*\mathscr{C}_{1% -\delta}\left(v\sqrt{\sigma_{2}}\right)\mathscr{C}_{1-\epsilon}\left(\mathrm{i% }w\sqrt{\sigma_{1}+\sigma_{2}}\right),}}
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    DLMF:31.10.E19
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    𝒞 ν ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.Px5.p1.m3adec
    0 references