TJMAS

Special Issue

Special issue on

Current Trends In Some Special Functions And Polynomials With Their Applications

Special Issue Editor: Assoc. Prof. Dr. Özen Özer
Submission Deadline: 30 November 2019


Summary

We aim to design this special issue for researchers interest in Pure and Applied Mathematics, in general and Applied Analysis, in particular. This special issue aims to present theory, methods, and applications of recent works on special functions and polynomials such as Hypergeometric function, Laguerre polynomials, Bernoulli polynomials, Euler polynomials. Each paper that will be published in this special issue aims at enriching the understanding of current research problems, theories and applications on some special functions and polynomials. The emphasis will be to present the deep developments concerning an idea in full detail, and also contain the most recent advances made in the area of special functions and polynomials.

Some special functions and polynomials plays an important role in differential equations, inequalities and approximation theory. They possess important properties such as recurrence and explicit relations, summation formulae, symmetric and convolution identities, algebraic properties etc. These polynomials are useful and possess potential for applications in certain problems of number theory, combinatorics, classical and numerical analysis, theoretical physics, approximation theory and other fields of pure and applied mathematics.

Thus, this special issue is expected to be beneficial for researchers interested in mathematics having applications in pure and applied mathematics using the tools mainly from the broad mathematical grouping. This special issue would also provide deeper insights to researchers about the current developments.

Potential topics include:

• Inequalities • Approximation Theory • Ordinary & Partial Differential Equations  • Integral Equations • Analytic Number Theory • Special Functions

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Special Issue on
 
Orthogonal Polynomials, Special Functions and Related Topics

 
Special Issue Editors: Dr. Ali Boussayoud, Dr. Mourad Chelgham, Dr. Frej Chouchene
Submission Deadline: 1 August 2019


Summary

Dear Colleagues,

Orthogonal polynomials and special functions such as Bernoulli polynomials, Euler polynomials, Tribonacci polynomials, Fibonacci polynomials, Chebychev polynomials of third and fourth kind, Gaussian Fibonacci polynomials, Jacobi polynomials, etc. play a key role in the developments of several fields of mathematics, physics, and engineering.

The selected papers in this special issue will be devoted to current trends in special functions and polynomials including pure mathematics, numbers theory, symmetric functions, especially will be focused on a wide range of its applications.

Potential topics include but are not limited to the following:

1-) Gaussian Fibonacci numbers
2-) d-Orthogonal polynomials
3-) Symmetric functions
4-) Chebychev polynomials
5-) Jacobi polynomials and Jacobi functions
6-) Hermite numbers and Hermite polynomials
7-) Generating functions

Lead Guest Editor: Dr. Ali Boussayoud (Mohamed Seddik Ben Yahia University, Algeria; E-Mail: aboussayoud@yahoo.fr

Guest Editors: Dr. Mourad Chelgham (Mohamed Seddik Ben Yahia University, Algeria; E-Mail: chelghamm@yahoo.fr and Dr. Frej Chouchene (University of Sousse, Tunisia; E-Mail: frej.chouchene@essths.u-sousse.tn