Special Issue "Applications of Special Functions, Orthogonal Polynomials and Integral Transforms"

Special functions and orthogonal polynomials, in particular, have been around for centuries. In the twentieth century, the emphasis was on special functions satisfying linear differential equations, but this has been extended to difference equations, partial differential equations, and non-linear differential equations. The theory of the symmetries of special functions, orthogonal polynomials, and differential equations has been well improved, their relations to integrability are known, and there are many corresponding results and applications. They provide us with the means to compute the symmetries of a given equation algorithmically and, most importantly, to implement it in symbolic computations.

This Special Issue will reflect the diversity of the topics across the world. The Special Issue’s papers will cover the symmetries of difference equations, discrete dynamical systems, special functions, orthogonal polynomials, and integrable difference equations. The potential topics include, but are not limited to, the following:

• Orthogonal polynomials;
• Difference equations;
• Symmetries in special functions;
• Symmetries in orthogonal polynomials;
• Symmetries of difference equations;
• The analytical properties and applications of special functions;
• Inequalities for special functions;
• The integration of the products of special functions;
• The properties of ordinary and general families of special polynomials;
• Operational techniques involving special polynomials;
• Classes of mixed special polynomials and their properties;
• Other miscellaneous applications of special functions and special polynomials;
• Fractional Operator.

 

Editorial Process:   All submitted papers will undergo a rigorous peer-review process. Guest Editor will collaborate with BSPM’s editorial board (With the permission from the Editorial Board) to ensure quality and relevance.   Expected Contributions: Approximately 25-30 papers will be selected based on their scientific merit, originality, and relevance to the theme of the Special Issue.    

Submission Procedure:   Participants can directly submit their papers to khan346@gmail.com, which will be initially checked by the Guest Editor and reviewed by the Reviewers.  Submission Deadlines: November 30, 2026.

 Note: The publication charge for each accepted manuscript is USD120.

 

Dr. Waseem Ahmad Khan

Prince Mohammad Bin Fahd University, Saudi Arabia

E-mail: khan346@gmail.com; wkhan1@pmu.edu.sa
Guest Editor