Journal of Computational and Applied Mathematics
On the coefficients of integrated expansions of ultraspherical polynomials
SIAM Journal on Numerical Analysis
On the coefficients of differentiated expansions of ultraspherical polynomials
Applied Numerical Mathematics
Real orthogonalizing weights for Bessel polynomials
SPOA VII Proceedings of the seventh Spanish symposium on Orthogonal polynomials and applications
Recurrence relations for connection coefficients between two families of orthogonal polynomials
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
An efficient spectral method for ordinary differential equations with rational function coefficients
Mathematics of Computation
An accurate solution of the Poisson equation by the Chebyshev-tau method
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Expansions in series of orthogonal hypergeometric polynomials
Journal of Computational and Applied Mathematics
Representations of orthogonal polynomials
Journal of Computational and Applied Mathematics
Linearization and connection coefficients for hypergeometric-type polynomials
Journal of Computational and Applied Mathematics
SIAM Journal on Scientific Computing
Construction of recurrences for the coefficients of expansions inq-classical orthogonal polynomials
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Hi-index | 7.29 |
A new formula expressing explicitly the integrals of Bessel polynomials of any degree and for any order in terms of the Bessel polynomials themselves is proved. Another new explicit formula relating the Bessel coefficients of an expansion for infinitely differentiable function that has been integrated an arbitrary number of times in terms of the coefficients of the original expansion of the function is also established. An application of these formulae for solving ordinary differential equations with varying coefficients is discussed.