Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials II
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 July 2024) | Viewed by 48393
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,
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 is well improved, their relations to integrability are known, and there are many corresponding results and applications. They provide us 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 the topics across the world. The Special Issue’s papers will cover the symmetries of difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, 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.
Dr. Serkan Araci
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
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