New Trends in Polynomials and Mathematical Analysis

Dear Colleagues,

Polynomials and their generalizations continue to play a vital role in modern mathematical analysis, with applications spanning operator theory, complex analysis, and fractional calculus. Among these areas, geometric function theory (GFT) offers a rich framework for studying the analytic and geometric properties of complex valued functions, especially when characterized by special polynomials and transformation operators.

Recent trends in this domain include the use of orthogonal polynomials, fractional and qqq-calculus, and generalized operators in the definition and classification of various function classes. These tools have also led to new results in coefficient problems, Hankel determinants, subordination principles, and functional inequalities. Beyond theoretical interest, such advances find applications in mathematical physics, signal processing, control theory, and dynamical systems.

This Special Issue invites original research articles related to the following:

• Polynomial-based analytic function classes;
• Univalent and bi-univalent functions;
• Differential subordination and superordination;
• Operators involving special functions and polynomials;
• Fractional and qqq-calculus in function theory;
• Applications of polynomial methods in mathematical modeling.

We welcome contributions that explore both theoretical developments and practical applications, aiming to capture the evolving landscape of mathematical analysis shaped by polynomial structures and new analytical tools.

We look forward to your valuable submissions.

Dr. Mohamed Illafe
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 250 words) can be sent to the Editorial Office for assessment.

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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.