New Advances in Special Functions and Their Applications in Science and Mathematics
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (30 April 2023) | Viewed by 3415
Special Issue Editors
2. Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Interests: special functions; numerical analysis; sequences of polynomials and numbers; boundary value problems fractional differential equations
Interests: numerical analysis; special functions; fractional differential equations
Special Issues, Collections and Topics in MDPI journals
Interests: polynomials and their applications in approximation theory; boundary value problems; numerical quadrature; zeros of functions
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Special functions, including orthogonal polynomials with symmetric and nonsymmetric parameters, are important in many areas of mathematics and in the applied sciences. For example, they are very important in the numerical analysis of different types of differential equations.
An orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are classical orthogonal polynomials, consisting of Hermite polynomials, Laguerre polynomials, and Jacobi polynomials, and their special cases for symmetric parameters, namely, Gegenbauer polynomials, which form the most important class of Jacobi polynomials; other special cases include Chebyshev polynomials and Legendre polynomials.
P.L. Chebyshev's work on continued fractions in the late 19th century inspired further research into orthogonal polynomials by A. A. Markov and T. J. Stieltjes. Many other areas of mathematics and science also use them, such as numerical analysis (quadrature rules), probability theory, representation theory (of Lie groups, quantum groups, and related objects), enumerative combinatorics, algebraic combinatorics, mathematical physics (the theory of random matrices, integrable systems, etc.), and number theory.
This Special Issue welcomes papers devoted to the theory and applications of special functions, including symmetric and non-symmetric orthogonal polynomials. Emphasis will be placed on the use of any applied polynomial set to handle various differential and integral problems. Both papers concerned with their applicability in many disciplines, and papers on other topics in mathematics and the applied sciences where polynomials play an essential role are cordially invited. Articles of a survey nature will also be considered.
Prof. Dr. Waleed Mohamed Abd-Elhameed
Dr. Youssri Youssri
Prof. Dr. Anna Napoli
Guest Editors
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.
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
- hypergeometric functions
- special functions
- sequences of polynomials
- linearization problems
- connection formulas between symmetric and nonsymmetric polynomials
- differential equations
- integral equations
- spectral methods
- quadrature theory
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