Formula:9804

Digital Library of Mathematical Functions ID 31.14.E1

${\displaystyle{\displaystyle{\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(\sum_{j=1}^{N}\frac{\gamma_{j}}{z-a_{j}}\right)\frac{\mathrm{d}w}{\mathrm{d}z}+\left(\sum_{j=1}^{N}\frac{q_{j}}{z-a_{j}}\right)w=0},}}$

Constraint(s)

${\displaystyle{\displaystyle\sum_{j=1}^{N}q_{j}=0}}$

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
• ${\displaystyle{\displaystyle\gamma}}$: real or complex parameter
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: complex parameter
• ${\displaystyle{\displaystyle q}}$: real or complex parameter
• ${\displaystyle{\displaystyle N+1}}$: number of singularities
 

Resources that cite this formula

No records found.