Ladder operators and a differential equation for varying generalized Freud type orthogonal polynomials
In this paper we introduce varying generalized Freud--type polynomials which are orthogonal with respect to a varying discrete Freud--type inner product. Our main goal is to give ladder operators for this family of polynomials as well as finding a second order differential--difference equation...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/15011 |
| Summary: | In this paper we introduce varying generalized Freud--type polynomials which are orthogonal with respect to a varying discrete Freud--type inner product. Our main goal is to give ladder operators for this family of polynomials as well as finding a second order differential--difference equation that these polynomials satisfy. To reach this objective it is necessary to consider the standard Freud orthogonal polynomials and in the meanwhile we find new difference relations for the coefficients in the first order differential equations that this standard family satisfies. |
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