Solving Second-Order Homogeneous Linear Differential Equations in Terms of the Tri-Confluent Heun's Function

被引：0
|
作者：
Aldossari, Shayea [1 ]
机构：
[1] King Saud Univ, Math Dept, POB 2455, Riyadh 11451, Saudi Arabia
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 06期
关键词：
differential equations; Heun's functions; Heun's equations; generalized exponents; pullback function; FACTORIZATION; OPERATORS;
D O I：
10.3390/sym16060678
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we state an algorithm that checks whether a given second-order linear differential equation can be reduced to the tri-confluent Heun's equation. The algorithm provides a method for finding solutions of the form exp(integral r(x)dx)<middle dot>HeunT(q,alpha,gamma,delta,& varepsilon;,f(x)), where the parameters alpha,beta,lambda is an element of C, the functions r,f is an element of C(x), and f are not constant.
引用
收藏
页数：8
相关论文
共 20 条
12