DLMF:10.46.E2

MaRDI QIDQ4364

• Label: DLMF:10.46.E2

Digital Library of Mathematical Functions ID 10.46.E2

${\displaystyle{\displaystyle I_{\nu}\left(z\right)=\left(\tfrac{1}{2}z\right)^{\nu}\phi\left(1,\nu+1;\tfrac{1}{4}z^{2}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\phi\left(\NVar{\rho},\NVar{\beta};\NVar{z}\right)}}$: generalized Bessel function
• ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the first kind
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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