Two variable modified Hermite matrix polynomials properties and its applications

2020 ◽  
Author(s):  
Virender Singh ◽  
Archna Sharma ◽  
Abdul Hakim Khan
Keyword(s):  
Matrix Polynomials ◽  
Hermite Matrix

scholarly journals On Hermite-Hermite matrix polynomials

2008 ◽  
Vol 133 (4) ◽  
pp. 421-434 ◽  
Author(s):  
M. S. Metwally ◽  
M. T. Mohamed ◽  
A. Shehata
Keyword(s):  
Matrix Polynomials ◽  
Hermite Matrix

scholarly journals Q-matrix polynomials in several variables

Filomat ◽  
2015 ◽  
Vol 29 (9) ◽  
pp. 2059-2067 ◽  
Author(s):  
Bayram Çekim
Keyword(s):  
Matrix Functions ◽  
Matrix Polynomials ◽  
Several Variables ◽  
Generating Matrix Functions ◽  
Hermite Matrix ◽  
Q Matrix ◽  
Generating Matrix

In the present paper, we define q-matrix polynomials in several variables which reduces Chan-Chyan-Srivastava and Lagrange-Hermite matrix polynomials in [6]. Then several results involving generating matrix functions for these matrix polynomials are derived.

scholarly journals On generalized two-index Hermite matrix polynomials

2017 ◽  
Vol 18 (1) ◽  
pp. 223 ◽  
Author(s):  
Levent Kargin ◽  
Veli Kurt
Keyword(s):  
Matrix Polynomials ◽  
Hermite Matrix

scholarly journals On new extensions of the generalized Hermite matrix polynomials

2019 ◽  
Vol 22 (2) ◽  
pp. 203-222
Author(s):  
Ayman Shehata
Keyword(s):  
Integral Representations ◽  
Matrix Functions ◽  
Matrix Polynomials ◽  
Summation Formulae ◽  
Summation Formulas ◽  
Fractional Calculus Operators ◽  
Generating Matrix Functions ◽  
Hermite Matrix ◽  
Generating Matrix ◽  
Matrix Recurrence Relations

Various families of generating matrix functions have been established in diverse ways. The objective of the present paper is to investigate these generalized Hermite matrix polynomials, and derive some important results for them, such as, the generating matrix functions, matrix recurrence relations, an expansion of xnI, finite summation formulas, addition theorems, integral representations, fractional calculus operators, and certain other implicit summation formulae.

scholarly journals Some Relations on Hermite Matrix Polynomials

2013 ◽  
Vol 18 (3) ◽  
pp. 323-329
Author(s):  
Levent Kargin ◽  
Veli Kurt
Keyword(s):  
Matrix Polynomials ◽  
Hermite Matrix

scholarly journals Improvement on the bound of Hermite matrix polynomials

2011 ◽  
Vol 434 (8) ◽  
pp. 1910-1919 ◽  
Author(s):  
Emilio Defez ◽  
Michael M. Tung ◽  
Jorge Sastre
Keyword(s):  
Matrix Polynomials ◽  
Hermite Matrix
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