Formula:3979

Digital Library of Mathematical Functions ID 10.21.E5

${\displaystyle{\displaystyle\mathscr{C}_{\nu}'\left(\rho_{\nu}\right)=\mathscr{C}_{\nu-1}\left(\rho_{\nu}\right)=-\mathscr{C}_{\nu+1}\left(\rho_{\nu}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: cylinder function
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle\rho_{\nu}(t)}}$: zero of cylinder function
 

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