DLMF:10.24.E9

MaRDI QIDQ4184

• Label: DLMF:10.24.E9

Digital Library of Mathematical Functions ID 10.24.E9

${\displaystyle{\displaystyle\widetilde{Y}_{0}\left(x\right)=Y_{0}\left(x\right)=\frac{2}{\pi}\left(\ln\left(\tfrac{1}{2}x\right)+\gamma\right)+O\left(x^{2}\ln x\right),}}$

Symbols List

• ${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the second kind
• ${\displaystyle{\displaystyle\widetilde{Y}_{\NVar{\nu}}\left(\NVar{x}\right)}}$: Bessel function of imaginary order
• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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