New Trends in Polynomials and Mathematical Analysis
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 38
Special Issue Editor
Interests: geometric function theory; analytic functions; special functions; fractional calculus; calculus; their applications in fluid mechanics, mathematical physics, control theory, and signal and image processing
Special Issue Information
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
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Keywords
- classes of analytic functions
- univalent functions
- differential subordination and superordination
- operator-related problems
- coefficient estimates
- GFT in real-life applications
- Fekete inequality
- second Hankel determinate
- geometric properties
- sandwich theorem
- polynomials
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