Neumann Series (Integral Equation)
A Fredholm Integral Equation of the Second Kind
 | (1) |
 |  |  | (2) |
 |  |  | (3) |
 | |  | (4) |
 | |  | (5) |
where
 | | | (6) |
 | |  | (7) |
 | |  | (8) |
 | |  | (9) |
The Neumann series solution is then
 | (10) |
References
Arfken, G. ``Neumann Series, Separable (Degenerate) Kernels.'' §16.3 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 879-890, 1985.
- Lagrange Inversion Theorem
- Lagrange Multiplier
- Lagrange Number (Diophantine Equation)
- Lagrange Number (Rational Approximation)
- Lagrange Polynomial
- Lagrange Remainder
- Lagrange Resolvent
- Lagrange's Continued Fraction Theorem
- Lagrange's Equation
- Lagrange's Four-Square Theorem
- Lagrange's Group Theorem
- Lagrange's Identity
- Lagrange's Interpolating Fundamental Polynomial
- Lagrange's Lemma
- Lagrange Spectrum
- Lagrangian Coefficient
- Lagrangian Derivative
- Laguerre Differential Equation
- Laguerre-Gauss Quadrature
- Laguerre Polynomial
- Laguerre Quadrature
- Laguerre's Method
- Laguerre's Repeated Fraction
- Laisant's Recurrence Formula
- Lakshmi Star