Special Issue "Complex Variable in Approximation Theory"
Deadline for manuscript submissions: 30 September 2021.
Interests: special functions, orthogonal polynomials, differential equations, operator theory, multivariate approximation theory, Lie algebra
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The close connection between the real and the complex variable is well known, not only for the closure of the complex field with respect to the roots of algebraic equations with real coefficients, which is proven in the so-called fundamental theorem of algebra, but also in many problems of mathematical analysis.
In fact, phenomena such as the length of the convergence radius of the McLaurin series expansion of the arctangent function or even the Runge phenomenon in the Lagrange interpolation over a set of equispaced points would be incomprehensible without the knowledge of the behavior of the considered functions in the complex plane.
The latter are only a few examples of the influence of the complex variable in the approximation problems of real functions. Recently, the calculation of the roots of a non singular matrix with real or complex entires has been obtained using the Dunford–Taylor integral, a classic tool of functional analysis that extends Cauchy's integral formula for complex functions to the case of operators.
In the opinion of the Guest Editors, there are many other possibilities for the application of the use of complex analysis tools to solve problems of approximation of the real variable.
This Special Issue is intended to encourage scholars to submit their research in this interesting field of study.
Prof. Dr. Paolo Emilio Ricci
Prof. Dr. Clemente Cesarano
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 papers will be 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 1800 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.
- special functions
- matrix functions
- differential and integral equations
- number theory