DLMF:10.19#Ex4 (Q3918): Difference between revisions

From MaRDI portal
← Older edit
Added link to MaRDI item.
Added link to MaRDI item.
 
Property / MaRDI profile type
 
Property / MaRDI profile type: MaRDI formula profile / rank
 
Normal rank

Latest revision as of 20:06, 3 March 2024

No description defined
Language Label Description Also known as
English
DLMF:10.19#Ex4
No description defined

    Statements

    DLMF defining formula
    Y ν ′ ⁡ ( ν ⁢ sech ⁡ α ) ∼ ( sinh ⁡ ( 2 ⁢ α ) π ⁢ ν ) 1 2 ⁢ e ν ⁢ ( α - tanh ⁡ α ) ⁢ ∑ k = 0 ∞ ( - 1 ) k ⁢ V k ⁢ ( coth ⁡ α ) ν k . asymptotic-expansion diffop Bessel-Y-Weber 𝜈 1 𝜈 𝛼 superscript 2 𝛼 𝜋 𝜈 1 2 superscript 𝑒 𝜈 𝛼 𝛼 superscript subscript 𝑘 0 superscript 1 𝑘 subscript 𝑉 𝑘 hyperbolic-cotangent 𝛼 superscript 𝜈 𝑘 {\displaystyle{\displaystyle Y_{\nu}'\left(\nu\operatorname{sech}\alpha\right)% \sim\left(\frac{\sinh\left(2\alpha\right)}{\pi\nu}\right)^{\frac{1}{2}}e^{\nu(% \alpha-\tanh\alpha)}\sum_{k=0}^{\infty}(-1)^{k}\frac{V_{k}(\coth\alpha)}{\nu^{% k}}.}}
    0 references

    Identifiers

     
    Retrieved from "https://mardi.schubotz.org/w/index.php?title=Item:Q3918&oldid=24178842"
    Powered by MediaWiki