DLMF:23.6.E15 (Q7256)

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Language	Label	Description	Also known as
English	DLMF:23.6.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\sigma\left(u+\omega_{j}\right)}{\sigma\left% (\omega_{j}\right)}=\exp\left(\eta_{j}u+\frac{\eta_{j}u^{2}}{2\omega_{1}}% \right)\frac{\theta_{j+1}\left(z,q\right)}{\theta_{j+1}\left(0,q\right)},}}

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DLMF:23.6.E15

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{\displaystyle{\displaystyle j=1,2,3}}

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Defining formula

{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

C20.S2.SS1.m2amdec

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Defining formula

{\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}

C23.S2.E6.m2addec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathbb{L}}}

C23.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle q}}

C23.S1.XMD10.m1ndec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1fdec

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Defining formula

{\displaystyle{\displaystyle\omega_{1}}}

C23.S1.XMD8.m1ndec

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Defining formula

{\displaystyle{\displaystyle\eta_{j}}}

C23.S6.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle u}}

C23.S6.XMD2.m1bdec

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