Geometric, Value-Sharing and Asymptotic Properties of Analytic and Meromorphic Functions
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 823
Special Issue Editors
Interests: determined and random analytic functions of one or several complex variables; entire function; Dirichlet series; Reinhardt domain; multiple power series; maximal term; Wiman-type inequality; maximum modulus; Levy’s phenomenon; h-measure; exceptional set; homogeneous polynomial; diagonal maximal term; Bitlyan–Gol'dberg-type inequality; random exponents; conjugate abscissas of convergence; multiple Dirichlet series; minimum modulus; lacunary power series; Laplace–Stieltjes-type integral; rate of convergence; rapid growth; oscillating coefficients; abscissa of absolute convergence; semistrip; polydisc; unit ball; gap power series; half-plane; ray; order of growth; central index; best estimate
Special Issues, Collections and Topics in MDPI journals
Interests: entire function; analytic function; meromorphic function; growth estimates; bounded index; bounded index in direction; bounded index in joint variables; slice holomorphic function; unit ball; polydisc; Reinhardt domain; vector-valued analytic function; value distribution; analytic solution; complex differential equation; several complex variables; regular function; quaternionic variable
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
We have the intention of launching a Special Issue of Axioms. The central topic of this Special Issue will be “Geometric, Value-Sharing and Asymptotic Properties of Analytic and Meromorphic Functions”. We would give an opportunity to showcase recent contributions in the many branches of both theoretical and practical studies in the theory of analytic and meromorphic functions of one and several complex variables. The geometric, value-sharing, and asymptotic properties of these functions are useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics, approximation theory, ordinary and partial differential equations, and their systems.
This Special Issue delves into the intricate characteristics of analytic and meromorphic functions, forming a cornerstone of complex analysis. The primary objective is to comprehensively investigate three fundamental aspects of these functions: their geometric behavior, value-sharing phenomena, and asymptotic properties. In the realm of geometric function theory, the study focuses on properties such as univalence, starlikeness, and convexity, often exploring mapping properties defined by these functions. This includes analyzing distortion theorems and coefficient estimates for various subclasses of analytic functions. The investigation into value-sharing employs methods from the Nevanlinna theory to understand how meromorphic functions and their derivatives relate through shared values or sets. This part aims to establish new uniqueness theorems and explore the implications of functions sharing specific configurations of values. Concurrently, the asymptotic analysis examines the growth rates and limiting behavior of these functions as the independent variable approaches boundary points or infinity. This involves studying concepts like the generalized or modified order and type of entire and meromorphic functions, as well as the distribution of their asymptotic values. This Special Issue will attempt to reveal deeper connections and interplay between these geometric, value distribution, and asymptotic characteristics. By synthesizing results from these interconnected areas, our Special Issue contributes to a more profound understanding of the complex structures and behaviors inherent in analytic and meromorphic function theory.
In the hopes that this initiative is of interest, we encourage you to submit your current original research paper to be included in this Special Issue.
This Special Issue is a continuation of three previous successful issues:
- https://www.mdpi.com/journal/axioms/special_issues/LO9M85MI3P—Recent Advances in Complex Analysis and Related Topics;
- https://www.mdpi.com/journal/axioms/special_issues/8YL0K99FO3—Honorary Special Issue Dedicated to Prof. Anatolii Asirovich Gol’dberg (1930–2008);
- https://www.mdpi.com/journal/axioms/special_issues/complex_analysis—Complex Analysis.
Prof. Dr. Oleh Skaskiv
Prof. Dr. Andriy Bandura
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 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. Axioms 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
- entire function
- meromorphic function
- dirichlet series
- analytic function
- starlikeness
- convexity
- bounded turning
- coefficient bound
- hankel determinant
- fekete–Szego estimates
- hardy space
- uni- and multivalent functions
- nevanlinna theory
- subordination
- superordination
- growth estimates
- shared sets
- weighted sharing
- uniqueness theorem
- differential polynomial
- complex differential equation
- finite distortion
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
