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Solving Second-Order Homogeneous Linear Differential Equations in Terms of the Tri-Confluent Heun's Function.
- Source :
-
Symmetry (20738994) . Jun2024, Vol. 16 Issue 6, p678. 8p. - Publication Year :
- 2024
-
Abstract
- 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 (∫ r (x) d x) · HeunT (q , α , γ , δ , ϵ , f (x)) , where the parameters α , β , λ ∈ C , the functions r , f ∈ C (x) , and f are not constant. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR differential equations
*HYPERGEOMETRIC functions
*DIFFERENTIAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 16
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 178192184
- Full Text :
- https://doi.org/10.3390/sym16060678