DLMF:11.7.E14 (Q4004)

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Language	Label	Description	Also known as
English	DLMF:11.7.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathbf{H}_{1}\left(t% \right)\mathrm{d}t=\frac{2}{\pi a}-\frac{2a}{\pi\sqrt{1+a^{2}}}\ln\left(\frac{% 1+\sqrt{1+a^{2}}}{a}\right),}}

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DLMF:11.7.E14

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Struve function

Defining formula

{\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C11.S2.E1.m2akdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aldec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle a}}

C11.S7.XMD1.m1adec

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Sitelinks

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