New Developments in Geometric Function Theory II
1. Introduction
- New classes of univalent and bi-univalent functions;
- Studies regarding coefficient estimates including the Fekete–Szegő functional, Hankel determinants and Toeplitz matrices;
- Applications of different types of operators in Geometric Function Theory, including differential, integral, fractional or quantum calculus operators;
- Differential subordination and superordination theories in their classical form, also concerning their recent extensions, and strong and fuzzy differential subordination and superordination theories;
- Applications of different hypergeometric functions and orthogonal polynomials in Geometric Function Theory.
2. Overview of the Published Papers
3. Conclusions
List of Contributions:
- Olatunji, S.O.; Oluwayemi, M.O.; Oros, G.I. Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination. Axioms 2023, 12, 360. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12040360.
- Aldawish, I.; Frasin, B.; Amourah, A. Bell Distribution Series Defined on Subclasses of Bi-Univalent Functions That Are Subordinate to Horadam Polynomials. Axioms 2023, 12, 362. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12040362.
- Aghalary, R.; Ebadian, A.; Cho, N.E.; Alizadeh, M. New Criteria for Convex-Exponent Product of Log-Harmonic Functions. Axioms 2023, 12, 409. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12050409.
- Al-Towailb, M.; Mansour, Z.S.I. A q-Analog of the Class of Completely Convex Functions and Lidstone Series. Axioms 2023, 12, 412. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12050412.
- Wanas, A.K.; Sakar, F.M.; Alb Lupaş, A. Applications Laguerre Polynomials for Families of Bi-Univalent Functions Defined with -Wanas Operator. Axioms 2023, 12, 430. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12050430.
- Alsoboh, A.; Amourah, A.; Sakar, F.M.; Ogilat, O.; Gharib, G.M.; Zomot, N. Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions. Axioms 2023, 12, 512. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12060512.
- Kazımoğlu, S.; Deniz, E.; Cotîrlă, L.-I. Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function. Axioms 2023, 12, 563. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12060563.
- Srivastava, H.M.; Al-Shbeil, I.; Xin, Q.; Tchier, F.; Khan, S.; Malik, S.N. Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative. Axioms 2023, 12, 585. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12060585.
- Al-Dohiman, A.A.; Frasin, B.A.; Taşar, N.; Sakar, F.M. Classes of Harmonic Functions Related to Mittag–Leffler Function. Axioms 2023, 12, 714. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12070714.
- Raza, M.; Tariq, M.; Ro, J.-S.; Tchier, F.; Malik, S.N. Starlike Functions Associated with Bernoulli’s Numbers of Second Kind. Axioms 2023, 12, 764. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12080764.
- Bayram, H.; Vijaya, K.; Murugusundaramoorthy, G.; Yalçın, S. Bi-Univalent Functions Based on Binomial Series-Type Convolution Operator Related with Telephone Numbers. Axioms 2023, 12, 951. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12100951.
- Swamy, S.R.; Cotîrlă, L.-I. A New Pseudo-Type -Fold Symmetric Bi-Univalent Function Class. Axioms 2023, 12, 953. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12100953.
- Analouei Adegani, E.; Jafari, M.; Bulboacă, T.; Zaprawa, P. Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients. Axioms 2023, 12, 1071. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms12121071.
- Soren, M.M.; Wanas, A.K.; Cotîrlǎ, L.-I. Results of Third-Order Strong Differential Subordinations. Axioms 2024, 13, 42. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms13010042.
Acknowledgments
Conflicts of Interest
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Oros, G.I. New Developments in Geometric Function Theory II. Axioms 2024, 13, 224. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms13040224
Oros GI. New Developments in Geometric Function Theory II. Axioms. 2024; 13(4):224. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms13040224
Chicago/Turabian StyleOros, Georgia Irina. 2024. "New Developments in Geometric Function Theory II" Axioms 13, no. 4: 224. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms13040224