Special Issue: Computational Advances in Special Functions and Orthogonal Polynomials: Theory, Algorithms, and Applications

Guest Editors

Lead Guest Editor
Prof. Clemente Cesarano
Section of Mathematics, International Telematic University, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
Email: clemente.cesarano@uninettunouniversity.net


Co-Guest Editors
Prof. William Ramírez
Department of Natural and Exact Sciences, Universidad de la Costa, Calle 58, 55-66, Barranquilla, 080002, Colombia
Section of Mathematics, International Telematic University, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
Email: wramirez4@cuc.edu.co
Prof. Alejandro Urieles
Programa de Matemáticas, Universidad del Atlántico, Km 7 Vía Pto. Colombia, Barranquilla, Colombia
Email: alejandrourieles@mail.uniatlantico.edu.co

Manuscript Topics

Special functions and orthogonal polynomials play a central role in various domains of pure and applied mathematics, including approximation theory, mathematical physics, number theory, and engineering modeling. With the rapid advancement of computational methods and symbolic tools, these classical fields are experiencing a renewed interest and significant growth, particularly in the design of algorithms, numerical analysis, and high-precision applications.


The aim of this Special Issue is to bring together recent developments in the computational aspects of special functions and orthogonal polynomials, highlighting both theoretical innovation and practical implementation. We encourage contributions that combine symbolic and numerical approaches, fractional calculus, and operator theory, as well as their integration into contemporary applied problems.


We particularly welcome articles focused on:

1. Computational methods for special functions and orthogonal polynomials.
2. Symbolic algorithms and computer algebra techniques in function theory.
3. Fractional differential operators acting on special functions and polynomials.
4. Approximation theory and spectral methods involving orthogonal systems.
5. Applications in mathematical physics, engineering, signal processing, and information theory.
6. Connections with combinatorics, q-series, number theory, and integrable systems.

This special issue aims to foster collaboration across disciplines and provide a platform for innovative contributions that advance the theoretical foundation and computational tools available for handling special functions and polynomials in modern mathematical science.


Instructions for authors
https://www.aimspress.com/nhm/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 18 July 2026

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