DLMF:14.15.E13 (Q4859)

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Language	Label	Description	Also known as
English	DLMF:14.15.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{-\mu}_{\nu}\left(\cosh\xi\right)=\frac{1}{\nu^% {\mu}}\left(\frac{\xi}{\sinh\xi}\right)^{1/2}I_{\mu}\left(\left(\nu+\tfrac{1}{% 2}\right)\xi\right)\*\left(1+O\left(\frac{1}{\nu}\right)\right),}}

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DLMF:14.15.E13

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order not exceeding

Defining formula

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

C2.S1.E3.m2ahdec

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Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1abdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2adec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2adec

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modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1idec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1idec

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Defining formula

{\displaystyle{\displaystyle\xi}}

C14.S15.XMD8.m1dec

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