Formula:4640

Digital Library of Mathematical Functions ID 11.4.E11

${\displaystyle{\displaystyle\mathbf{L}_{\frac{3}{2}}\left(z\right)=-\left(\frac{z}{2\pi}\right)^{\frac{1}{2}}\left(1-\frac{2}{z^{2}}\right)+\left(\frac{2}{\pi z}\right)^{\frac{1}{2}}\left(\sinh z-\frac{\cosh z}{z}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\sinh\NVar{z}}}$: hyperbolic sine function
• ${\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Struve function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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