DLMF:14.15.E16 (Q4862): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:14.15.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{-\mu}_{\nu}\left(x\right)=-\frac{\pi% \beta}{2}\left(\frac{y-\alpha^{2}}{1-\alpha^{2}-x^{2}}\right)^{1/4}\left(Y_{% \mu}\left(\left(\nu+\tfrac{1}{2}\right)y^{1/2}\right)+O\left(\frac{1}{\nu}% \right)\mathrm{env}\mskip-2.0mu Y_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)y^{1% /2}\right)\right),}}

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DLMF:14.15.E16

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Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E3.m2aadec

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2akdec

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Ferrers function of the second kind

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E2.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar% {x}\right)}}

C2.S8.SS4.p5.m4aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1ldec

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