Guest Editors
Prof. C.S. Ryoo
Email: ryoocs@hnu.kr
Affiliation: Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea
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Research Interests: Numerical verification method, scientific computing, functional analysis, differential equations, dynamical systems, quantum calculus, and special functions
Prof. Shahid Ahmad Wani
Email: shahid.wani@sitpune.edu.in
Affiliation: Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India
Homepage:
Research Interests: special emphasis on special functions, orthogonal polynomials, fractional Operators and approximation theory
Summary
The study of modern engineering and physical sciences increasingly demands a deep understanding of applied mathematics, especially special functions. These functions play a key role in fields such as acoustics, thermodynamics, electromagnetics, and optics, helping to express both approximate and exact analytical solutions to complex problems. This, in turn, provides clearer insights into the fundamental properties and mechanisms involved.
This Special Issue aims to explore the use of classical and higher-order special functions in addressing advanced challenges in mathematical physics. These challenges may be defined by specific symmetries, such as rectangular, cylindrical, or spherical, or by unconventional models. We also encourage the study of new special functions, with a focus on their governing differential equations, recurrence relations, and the development of efficient computational algorithms, such as those utilizing uniform asymptotic expansions for small and large parameters.
We invite you to contribute review articles and original research papers that highlight recent progress in the theory and applications of special functions.
Keywords
Special Functions; Discrete equations; Families of Differential Equations; Symmetry aspects in special functions; Symmetry properties in orthogonal polynomials; Symmetries in discrete systems; Analytical characteristics and uses of special functions; Inequalities related to special functions; Integration involving products of special functions; Properties of standard and extended families of special polynomials; Operational methods with special polynomials; Various types of mixed special polynomials and their characteristics; Additional applications of special functions and polynomial families
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