In the paper, by virtue of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials.
Simplifying Coefficients in a Family of Ordinary Differential Equations Related to the Generating Function of the Laguerre Polynomials,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
2, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/9