Orthogonal Polynomials, Special Functions and Applications, 3rd Edition
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 30 November 2026 | Viewed by 1278
Special Issue Editor
Interests: approximation theory; special functions; extremal problems; inequalities; orthogonal polynomials; nonclassical orthogonal polynomials; numerical analysis; numerical linear algebra; interpolation in complex plane; orthogonality on the semicircle
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue is a continuation of the previous successful Special Issues “Orthogonal Polynomials, Special Functions and Applications” and “Orthogonal Polynomials, Special Functions and Applications: 2nd Edition”.
Orthogonal polynomials and orthogonal functions, as well as other special functions, are gaining increasing importance, and their development is often conditioned by their application in many areas of applied and computational sciences. This Special Issue of Axioms is devoted to various aspects of the theory of orthogonality in real or complex spaces, with respect to the standard inner products (classical and strongly non-classical cases) and moment functionals, including one-dimensional and multi-dimensional cases, as well as to orthogonalization in numerical linear algebra. Contributions that consider the development and application of special functions, as well as problems in which special functions play a significant role, are welcome. Particularly interesting are the theories and applications in which both orthogonality and special functions are represented. Consideration of the problems in which special functions play a significant role, as well as applications of orthogonal polynomials in approximation theory in the broadest sense, including quadrature formulas and integral equations, will be particularly appreciated. Furthermore, spectral, collocation, and related methods for initial value and initial-boundary value problems that involve PDEs, as well as applications and algorithms for solving open problems in mathematics, physics, and technical sciences, are of interest. Our goal is to gather experts and young researchers focused on the same task, in order to promote and exchange knowledge as well as improve communication and application. We invite the submission of research papers, as well as review articles.
Prof. Dr. Gradimir V. Milovanović
Guest Editor
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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. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- orthogonal polynomials and functions
- orthogonalization in numerical linear algebra
- special functions
- hypergeometric functions
- Mittag–Leffler functions and generalizations
- zeros
- recurrence relations
- inner products
- numerical integration
- quadrature and cubature formulas
- numerical summation of series
- numerical differentiation
- integral equations
- numerical methods for integral equations and transforms
- approximation of functions
- spline approximation
- Padé approximation
- weighted approximation
- spectral, collocation, and related methods for BVP problems
- generating functions
- asymptotics
- inequalities
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