التفاصيل البيبلوغرافية
| العنوان: |
Exploring Zeros of Hermite- λ Matrix Polynomials: A Numerical Approach. |
| المؤلفون: |
Alatawi, Maryam Salem1 (AUTHOR) msoalatawi@ut.edu.sa, Kumar, Manoj2 (AUTHOR) mkumar5@myamu.ac.in, Raza, Nusrat3 (AUTHOR) nusrat.wc@amu.ac.in, Khan, Waseem Ahmad4 (AUTHOR) wkhan1@pmu.edu.sa |
| المصدر: |
Mathematics (2227-7390). May2024, Vol. 12 Issue 10, p1497. 17p. |
| مصطلحات موضوعية: |
*POLYNOMIALS, *INTEGRAL representations, *GENERATING functions, *DIFFERENTIAL equations, *HERMITE polynomials, *SYMBOLIC computation, *HYPERGEOMETRIC series |
| مستخلص: |
This article aims to introduce a set of hybrid matrix polynomials associated with λ -polynomials and explore their properties using a symbolic approach. The main outcomes of this study include the derivation of generating functions, series definitions, and differential equations for the newly introduced two-variable Hermite λ -matrix polynomials. Furthermore, we establish the quasi-monomiality property of these polynomials, derive summation formulae and integral representations, and examine the graphical representation and symmetric structure of their approximate zeros using computer-aided programs. Finally, this article concludes by introducing the idea of 1-variable Hermite λ matrix polynomials and their structure of zeros using a computer-aided program. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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