DLMF:13.21.E7 (Q4615): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.21.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{-\kappa,\mu}\left(4\kappa x\right)=\frac{\sqrt% {8/\pi}e^{\kappa}}{\kappa^{\kappa-\frac{1}{2}}}\left(\frac{x\zeta}{1+x}\right)% ^{\frac{1}{4}}K_{2\mu}\left(4\kappa\zeta^{\frac{1}{2}}\right){\left(1+O\left(% \kappa^{-1}\right)\right)},}}

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DLMF:13.21.E7

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order not exceeding

Defining formula

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

C2.S1.E3.m2aedec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E3.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2abdec

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modified Bessel function of the second kind

Defining formula

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

C10.S25.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1fdec

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