Complex Variable in Approximation Theory: Volume 2

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 277

Special Issue Editor


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Guest Editor
Section of Mathematics, International Telematic University, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
Interests: special functions; orthogonal polynomials; differential equations; operator theory; multivariate approximation theory; Lie algebra
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Special Issue Information

Dear Colleagues,

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 entries 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.

Dr. Clemente Cesarano
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.

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

  • special functions
  • matrix functions
  • eigenvalues differential and integral equations
  • number theory

Published Papers

This special issue is now open for submission.
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