On the Solutions of Second-Order Differential Equations with Polynomial Coefficients: Theory, Algorithm, Application

On the Solutions of Second-Order Differential Equations with Polynomial Coefficients: Theory, Algorithm, Application

The analysis of many physical phenomena is reduced to the study of linear differential equations with polynomial coefficients. The present work establishes the necessary and sufficient conditions for the existence of polynomial solutions to linear differential equations with polynomial coefficients...

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Bibliographic Details
Main Authors: Kyle R. Bryenton, Andrew R. Cameron, Keegan L. A. Kirk, Nasser Saad, Patrick Strongman, Nikita Volodin
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Algorithms
Subjects:
symbolic computation
algorithm
polynomial solutions
Scheffé criteria
Heun equation
Dirac equation
Online Access:https://www.mdpi.com/1999-4893/13/11/286

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https://www.mdpi.com/1999-4893/13/11/286

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