Special matrix functions: characteristics, achievements and future directions

M Abdalla - Linear and Multilinear Algebra, 2020 - Taylor & Francis
In recent years, special matrix functions and polynomials of a real or complex variable have
been in a focus of increasing attention leading to new and interesting problems. In this work …

Gegenbauer wavelets collocation-based scheme to explore the solution of free bio-convection of nanofluid in 3D nearby stagnation point

M Usman, M Hamid, MM Rashidi - Neural Computing and Applications, 2019 - Springer
In the current article, we investigated a three-dimensional nanofluid bio-convection model
near a stagnation attachment. The set of governing equations, with a set of similarity …

Rotating flow of nanofluid due to exponentially stretching surface: an optimal study

ST Mohyud-Din, M Hamid, M Usman… - … of Algorithms & …, 2019 - journals.sagepub.com
In this article, the presented study is based on a modification in Gegenbauer wavelets
method. The modeled problem is presented to analyze the phenomena of transfer of heat of …

A new extension of Hermite matrix polynomials and its applications

RS Batahan - Linear algebra and its applications, 2006 - Elsevier
In this paper, an extension of the Hermite matrix polynomials is introduced. Some relevant
matrix functions appear in terms of the two-variable Hermite matrix polynomials …

Exploration of uniform heat flux on the flow and heat transportation of ferrofluids along a smooth plate: comparative investigation

M Usman, M Hamid, ST Mohyud Din… - International Journal …, 2018 - World Scientific
The paper is devoted to a new extension in Gegenbauer wavelet method (GWM) to
investigate the transfer of heat and MHD boundary-layer flow of ferrofluids beside a flat plate …

On Hermite-Hermite matrix polynomials

MS Metwally, MT Mohamed, A Shehata - Mathematica Bohemica, 2008 - dml.cz
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from
the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for …

[PDF][PDF] Chebyshev-type matrix polynomials and integral transforms

L Kargin, V Kurt - Hacettepe Journal of Mathematics and Statistics, 2015 - dergipark.org.tr
In this study we introduce a new type generalization of Chebyshev matrix polynomials of
second kind by using the integral representation. We obtain their matrix recurrence relations …

Generalizations of two-index two-variable Hermite matrix polynomials

MS Metwally, MT Mohamed, A Shehata - Demonstratio Mathematica, 2009 - degruyter.com
In this paper, we introduce a new generalization of the Hermite matrix polynomials
expansions of some relevant matrix functions appearing in the solution of differential …

[PDF][PDF] A new extension of Gegenbauer matrix polynomials and their properties

A Shehata - Bulletin of International Mathematical Virtual Institute, 2012 - elib.mi.sanu.ac.rs
The aim of this paper is to define and study of the Gegenbauer matrix polynomials of two
variables. An explicit representation, a three-term matrix recurrence relations, differential …

[HTML][HTML] On a multivariable extension of Jacobi matrix polynomials

F Taşdelen, B Çeki̇m, R Aktaş - Computers & Mathematics with …, 2011 - Elsevier
The classical Jacobi matrix polynomials only for commutative matrices were first studied by
Defez et al.[E. Defez, L. Jódar, A. Law. Jacobi matrix differential equation, polynomial …