2 papers
math.CA2020
On Polynomial Solutions of Linear Differential Equations with Applications
Kyle R. Bryenton1, Andrew R. Cameron, Keegan L. A. Kirk +3
The analysis of many physical phenomena can be reduced to the study of solutions of differential equations with polynomial coefficients. In the present work, we establish the neces…
math-ph2018
A Note on the Generalized and Universal Associated Legendre Equations
Keegan L. A. Kirk, Kyle R. Bryenton, Nasser Saad
A class of second-order differential equations commonly arising in physics applications are considered, and their explicit hypergeometric solutions are provided. Further, the relat…