In this paper, we introduce the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$. Also we discuss various properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$ including hypergeometric matrix series representation, generating matrix relations, integral images, fractional calculus operators, differential recurrence relations and summation formulas. These results are very helpful in theory of special functions, operator theory, and mathematical physics.
Jatav, V. Kumar, Kumar, U., & Pal, A. (2025). Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$. Khayyam Journal of Mathematics, 11(1), 51-60. https://doi.org/10.22034/kjm.2024.485361.3355
MLA
Jatav, V. Kumar, Kumar, U., & Pal, A. "Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$", Khayyam Journal of Mathematics, 11, 1, 2025, 51-60. doi: 10.22034/kjm.2024.485361.3355
HARVARD
Jatav V. Kumar, Kumar U., Pal A. (2025). 'Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$', Khayyam Journal of Mathematics, 11(1), pp. 51-60. doi: 10.22034/kjm.2024.485361.3355
CHICAGO
V. Kumar Jatav, U. Kumar & A. Pal, "Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$," Khayyam Journal of Mathematics, 11 1 (2025): 51-60, doi: 10.22034/kjm.2024.485361.3355
VANCOUVER
Jatav V. Kumar, Kumar U., Pal A. Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$. Khayyam J. Math. 2025;11(1):51-60. doi: 10.22034/kjm.2024.485361.3355