On Hankel transforms of generalized Bessel matrix polynomials
Copyright policy )On Hankel transforms of generalized Bessel matrix polynomials
Le présent article traite de l'évaluation des transformations de Hankel impliquant des fonctions de matrice de Bessel dans le noyau. De plus, ces transformées sont associées à des produits de certaines fonctions élémentaires et de polynômes matriciels de Bessel généralisés. En tant qu'applications, de nombreux cas spéciaux utiles sont discutés. De plus, les résultats actuels sont plus généraux que le précédent. En outre, ces résultats donnent plus de résultats dans les transformations intégrales modernes avec des fonctions matricielles spéciales.
El presente artículo trata sobre la evaluación de las transformadas de Hankel que involucran funciones de la matriz de Bessel en el núcleo. Además, estas transformadas están asociadas con productos de ciertas funciones elementales y polinomios generalizados de la matriz de Bessel. Como aplicaciones, se discuten muchos casos especiales útiles. Además, los resultados actuales son más generales que los anteriores. Además, estos resultados se traducen en más resultados en las transformadas integrales modernas con funciones de matriz especiales.
The present article deals with the evaluation of the Hankel transforms involving Bessel matrix functions in the kernel. Moreover, these transforms are associated with products of certain elementary functions and generalized Bessel matrix polynomials. As applications, many useful special cases are discussed. Further, the current results are more general to the previous one. In addition to, these results are yielded to more results in the modern integral transforms with special matrix functions.
تتناول هذه المقالة تقييم تحولات هانكل التي تنطوي على وظائف مصفوفة بسل في النواة. علاوة على ذلك، ترتبط هذه التحولات بمنتجات بعض الوظائف الأولية ومتعددات حدود مصفوفة بسل المعممة. كتطبيقات، تتم مناقشة العديد من الحالات الخاصة المفيدة. علاوة على ذلك، فإن النتائج الحالية أكثر عمومية من النتائج السابقة. بالإضافة إلى ذلك، يتم تحقيق هذه النتائج لمزيد من النتائج في التحولات المتكاملة الحديثة مع وظائف المصفوفة الخاصة.
- South Valley University Zambia
- South Valley University Egypt
- King Khalid University Saudi Arabia
Composite material, Matrix function, Orthogonal polynomials, Integral transforms of special functions, Bessel matrix functions, Matrix (chemical analysis), Symmetric matrix, matrix Hankel transforms, Matrix Valued Polynomials, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Gegenbauer polynomials, QA1-939, FOS: Mathematics, Bessel polynomials, Bessel function, Hankel transform, generalized bessel matrix polynomials, Anomalous Diffusion Modeling and Analysis, Eigenvalues and eigenvectors, matrix hankel transforms, Struve function, Algebra over a field, Applied Mathematics, Physics, Classical orthogonal polynomials, Pure mathematics, Hankel matrix, generalized Bessel matrix polynomials, bessel matrix functions, Nonlocal Partial Differential Equations and Boundary Value Problems, Materials science, Modeling and Simulation, Physical Sciences, Kernel (algebra), Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics
Composite material, Matrix function, Orthogonal polynomials, Integral transforms of special functions, Bessel matrix functions, Matrix (chemical analysis), Symmetric matrix, matrix Hankel transforms, Matrix Valued Polynomials, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Gegenbauer polynomials, QA1-939, FOS: Mathematics, Bessel polynomials, Bessel function, Hankel transform, generalized bessel matrix polynomials, Anomalous Diffusion Modeling and Analysis, Eigenvalues and eigenvectors, matrix hankel transforms, Struve function, Algebra over a field, Applied Mathematics, Physics, Classical orthogonal polynomials, Pure mathematics, Hankel matrix, generalized Bessel matrix polynomials, bessel matrix functions, Nonlocal Partial Differential Equations and Boundary Value Problems, Materials science, Modeling and Simulation, Physical Sciences, Kernel (algebra), Special integral transforms (Legendre, Hilbert, etc.), Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics
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