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A new kind of Legendre matrix polynomials

ملخص البحث

The main aim of this paper is to introduce a new kind of Legendre matrix polynomials. Hypergeometric matrix representation of these matrix polynomials is given. The convergence properties and the integral form for the Legendre matrix polynomials are derived. The Legendre matrix differential equation of second order is established. Subsequently, Rodrigues formula, orthogonality property, matrix recurrence relation and types of generating matrix functions are then developed for the Legendre matrix polynomials. Furthermore, general families of bilinear and bilateral generating matrix functions for these matrix polynomials are obtained and their applications are presented. Finally, the composite Legendre matrix polynomials is introduced.

مؤلف البحث
Ayman Shehata
قسم البحث
مجلة البحث
Gazi University Journal of Science
صفحات البحث
535-558
الناشر
2016
تصنيف البحث
1
عدد البحث
Vol. 29, No. 2
موقع البحث
http://gujs.gazi.edu.tr/article/view/5000129499
سنة البحث
2016