Khayyam Journal of Mathematics

Khayyam Journal of Mathematics

Computation of some properties of the Laguerre type matrix polynomials $L_n^{(\mathcal{H},q)}(z)$

Document Type : Original Article

Authors
Division of Mathematics‎, ‎School of Advanced Sciences and Languages,‎ ‎VIT Bhopal University‎, ‎Kothrikalan‎, ‎Sehore-466 114‎, ‎Madhya Pradesh‎, ‎India.
Abstract
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.
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