Abstract
AbstractMotivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of matrix functions involving generalized Bessel matrix polynomials. With the help of these transforms several results are obtained, which are extensions of the corresponding results in the standard cases. The results given here are of general character and can yield a number of (known and new) results in modern integral transforms.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference51 articles.
1. Ismaila, M., Koelink, E., Román, P.: Matrix valued Hermite polynomials, Burchnall formulas and non-Abelian Toda lattice. Adv. Appl. Math. 110, 235–269 (2019)
2. Dwivedi, R., Sahai, V.: Lie algebras of matrix difference differential operators and special matrix functions. Adv. Appl. Math. 122, 102–109 (2021)
3. Iserles, A., Webb, M.: A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. J. Fourier Anal. Appl. 26, 19 (2020)
4. Abdalla, M.: Special matrix functions: characteristics, achievements and future directions. Linear Multilinear Algebra 68, 1–28 (2020)
5. Abdalla, M., Boulaaras, S.: Analytical properties of the generalized heat matrix polynomials associated with fractional calculus. J. Funct. Spaces 2021, Article ID 4065606 (2021)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献