Formula:4660

Digital Library of Mathematical Functions ID 11.4.E31

${\displaystyle{\displaystyle{\cal H}_{\nu-m}(z)=z^{m-\nu}\left(\frac{1}{z}\frac{\mathrm{d}}{\mathrm{d}z}\right)^{m}(z^{\nu}{\cal H}_{\nu}(z)),}}$

Constraint(s)

${\displaystyle{\displaystyle m=1,2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
 

Resources that cite this formula

No records found.