Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials: 3rd Edition
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 31 March 2025 | Viewed by 388
Special Issue Editor
Interests: q-special functions and q-special polynomials; q-series; analytic number theory; umbral theory; p-adic q-analysis; fractional calculus and its applications
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Following the success of the second Special Issue of Symmetry, entitled “Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials II”, it is my pleasure to be the Guest Editor for Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials: 3rd Edition.
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 nonlinear differential equations. The theory of the symmetries of special functions, orthogonal polynomials, and differential equations is 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 in an algorithmic manner and, most importantly, to implement it in symbolic computations.
This Special Issue will reflect the diversity of topics across the world. The Special Issue’s contributions will cover the symmetries of difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.
Dr. Serkan Araci
Guest Editor
Manuscript Submission Information
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Keywords
- 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
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