Skip to main content

Study of Gegenbauer Matrix Polynomials Via Matrix Functions and their Properties | Chapter 06 | Advances in Mathematics and Computer Science Vol. 3

The present paper deals with a new kind of Gegenbauer matrix polynomials and some special cases. The paper contains a three term matrix recurrence relation, hypergeometric representation, their Rodrigues formula and orthogonal properties.

Author(s) Details

Dr. Virender Singh
Department of Applied Mathematics, Galgotia college of Engineering and Technology, Greater Noida{201306, India.

Dr. Archna Sharma
SOVSAS Department of Applied Mathematics, Gautam Buddha University, Greater Noida{201312, India.

Prof. Mumtaz Ahmad Khan
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh{202002, India.

Prof. Abdul Hakim Khan
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh{202002, India.

Read full article: http://bp.bookpi.org/index.php/bpi/catalog/view/81/1131/795-1
View Volume: https://doi.org/10.9734/bpi/amacs/v3
Labels:

Comments

Post a Comment

Popular posts from this blog

A Brief Study of Middleware Technologies: Programming Applications and Management Systems | Chapter 15 | Novel Research Aspects in Mathematical and Computer Science Vol. 1

  Many platforms, services, applications, hardware, and operating systems are connected through the middleware layer. Because the middleware layer abstracts much low-level complexity and makes applications and software systems portable, it allows disparate systems to interface and function together in harmony. Middleware technologies enable software engineers to swiftly construct software systems and applications, allowing developers to focus on more important tasks. This chapter examines several types of middleware systems and discusses middleware capabilities, middleware operation, middleware's function in cloud-based systems, and the best middleware platforms to use. Middleware systems are widely utilised and can be found in practically any software system or application. Middleware programmes provide as a link between many sorts of systems and protocols. They serve as a mechanism for various systems. To successfully exchange information, it runs on a variety of operating system
Post a Comment
Read more

Use of the Arrhenius Equation in Kinetic Analyses and Mathematical Modeling of Rate Data Requires the Most Precise, Even Scrupulous, Application and Term Definitions | Chapter 6 | Theory and Applications of Chemistry Vol. 2

This article presents a critical analysis of the frequent practice of using the Arrhenius equation for mathematical modeling of very many physical and chemical rate processes. This approach may also be used to characterize the controls and mechanisms of the rate processes investigated. We also discuss  the  specific  form  of  the Arrhenius-type  equation  as  a  relationship  meriting  detailed investigations. In our opinion, the use of the Arrhenius relationship often can only approximate to the behavior of such systems, exemplified by the systems discussed below, including the work of N N Semenov, A K Galwey, A G Mershanov, etc. We draw attention to "erroneous" experimental designs, including the so-called "global kinetic mechanism" and other widespread uses of theoretical models which do not necessarily represent the real situation. Such limitations in rate data analyses impact negatively throughout this branch of science. Here we attempt to question these ac
Post a Comment
Read more

A Facility-based Assessment of Internalized Stigma among Patients with Severe Mental Illnesses in Maiduguri, North-Eastern Nigeria | Chapter 05 | Emerging Research in Medical Sciences Vol. 3

Introduction: Public stigmatization of mental illnesses might lead to the internalization of the stigma by persons with mental illness (PWMIs) which might also lead to erosion of self-esteem and negative consequences on treatment outcome. This study assessed the prevalence of internalized stigma and analyzed its socio-demographic and clinical predictors among PWMIs in a sub-Saharan African mental health facility. Methods: Patients with schizophrenia, bipolar disorder and severe depression (n = 370) were randomly interviewed at the out-patient department of the Federal Neuropsychiatric Hospital, Maiduguri. They completed the sociodemographic and clinical proformata, Oslo social support scale, and an adapted version of the internalized stigma of mental illness scale (ISMI). Results: A total of 83 subjects (22.5%) met the study's criterion score for high internalized stigma. The independent predictors of high internalized stigma were; poor social support (Odds ratio, OR =
Post a Comment
Read more