Formula:4463

Digital Library of Mathematical Functions ID 10.56.E2

${\displaystyle{\displaystyle\frac{\sin\sqrt{z^{2}-2zt}}{z}=\frac{\sin z}{z}+\sum_{n=1}^{\infty}\frac{t^{n}}{n!}\mathsf{y}_{n-1}\left(z\right).}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle\mathsf{y}_{\NVar{n}}\left(\NVar{z}\right)}}$: spherical Bessel function of the second kind
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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