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- W4287754054 abstract "A new method of composition orthogonality is introduced. It is applied to generate new sequences of orthogonal polynomials and functions. In particular, classical orthogonal polynomials are interpreted in the sense of composition orthogonality. Finally, new sequences of orthogonal polynomials with respect to the weight function $x^alpha rho^2_nu(x), rho_{nu}(x)= 2 x^{nu/2} K_nu(2sqrt x), x >0, nu ge 0, alpha > -1$, where $K_nu(z)$ is the modified Bessel function or Macdonald function, are investigated. Differential properties, recurrence relations, explicit representations, generating functions and Rodrigues-type formulae are obtained. The corresponding multiple orthogonal polynomials are exhibited." @default.
- W4287754054 created "2022-07-26" @default.
- W4287754054 creator A5024798937 @default.
- W4287754054 date "2020-06-21" @default.
- W4287754054 modified "2023-10-16" @default.
- W4287754054 title "A method of composition orthogonality and new sequences of orthogonal polynomials and functions for non-classical weights" @default.
- W4287754054 doi "https://doi.org/10.48550/arxiv.2006.11752" @default.
- W4287754054 hasPublicationYear "2020" @default.
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