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Special Issue: Geometric Function Theory and Special Functions

Guest Editors

Prof. Dr. Nak Eun Cho
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
Email: necho@pknu.ac.kr


Prof. Dr. Teodor Bulboacă
Faculty of Mathematics and Computer Science, Babeș-Bolyai University, 400084 Cluj-Napoca, Romania
Email: bulboaca@math.ubbcluj.ro ; teodor.bulboaca@ubbcluj.ro


Prof. Dr. V. Ravichandran
Department of Mathematics, National Institute of Technology, Tiruchirappalli-620015, India
Email: vravi68@gmail.com

Manuscript Topics


Geometric Function Theory (GFT) is the branch of the Complex Analysis which deals with the geometric properties of analytic and harmonic functions, and is closely related to Special Functions. Indeed, the famous Bieberbach conjecture which is one of the most outstanding problems in the theory of univalent functions was settled affirmatively by Louis de Branges in 1985. This remarkable event lead to various approaches to problems in GFT and Special Functions which are crucially important in pure and applied mathematics.


The main aim of this Special Issue is to invite the outstanding authors to submit their original articles related to GFT, Special Functions and their applications which provide not only new results or methods but also may have a great impact in other areas of research. Topics of interest could include geometric aspects and applications of univalent and multivalent functions, special functions and their applications to GFT, the general theory and applications of differential subordinations and superordinations, harmonic mappings, entire and meromorphic functions and so on, but simple and straightforward extensions of known results are not recommended.


Theoretical contributions, computational methods, and analytical or numerical solutions pertaining to the above topics, along with any innovative techniques, applied algorithms, or novel approaches, are all welcome. Additionally, contributions that bridge the gap between theoretical results and practical applications are especially encouraged.


Overall, we hope that the articles published in this Special Issue will demonstrate the versatility of GFT and Special Functions and highlight their importance as tools for solving problems in different fields, and inspire researchers to explore new avenues of research in these areas.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 November 2023

Published Papers(20)

Research article
Applications of qUltraspherical polynomials to bi-univalent functions defined by qSaigo's fractional integral operators
Tariq Al-Hawary Ala Amourah Abdullah Alsoboh Osama Ogilat Irianto Harny Maslina Darus
2024, Volume 9, Issue 7: 17063-17075. doi: 10.3934/math.2024828
Abstract HTML PDF Cited (2) Viewed (1471)
Research article
Exploring variable-sensitive q-difference equations for q-SINE Euler polynomials and q-COSINE-Euler polynomials
Jung Yoog Kang Cheon Seoung Ryoo
2024, Volume 9, Issue 6: 16753-16772. doi: 10.3934/math.2024812
Abstract HTML PDF Viewed (1035)
Research article
Sharp coefficient problems of functions with bounded turning subordinated to the domain of cosine hyperbolic function
Zhen Peng Muhammad Arif Muhammad Abbas Nak Eun Cho Reem K. Alhefthi
2024, Volume 9, Issue 6: 15761-15781. doi: 10.3934/math.2024761
Abstract HTML PDF Cited (2) Viewed (1403)
Research article
Coefficient bounds for certain families of bi-Bazilevič and bi-Ozaki-close-to-convex functions
Muajebah Hidan Abbas Kareem Wanas Faiz Chaseb Khudher Gangadharan Murugusundaramoorthy Mohamed Abdalla
2024, Volume 9, Issue 4: 8134-8147. doi: 10.3934/math.2024395
Abstract HTML PDF Cited (2) Viewed (1337)
Research article
Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator
Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi R. Sidaoui Abdelkader Moumen
2024, Volume 9, Issue 3: 6772-6783. doi: 10.3934/math.2024330
Abstract HTML PDF Cited (3) Viewed (1388)
Research article
Sandwich theorems involving fractional integrals applied to the q -analogue of the multiplier transformation
Shatha S. Alhily Alina Alb Lupaş
2024, Volume 9, Issue 3: 5850-5862. doi: 10.3934/math.2024284
Abstract HTML PDF Viewed (1379)
Research article
First-order differential subordinations associated with Carathéodory functions
Inhwa Kim Young Jae Sim Nak Eun Cho
2024, Volume 9, Issue 3: 5466-5479. doi: 10.3934/math.2024264
Abstract HTML PDF Viewed (1554)
Research article
Properties of generalized (p,q)-elliptic integrals and generalized (p,q)-Hersch-Pfluger distortion function
Chuan-Yu Cai Qiu-Ying Zhang Ti-Ren Huang
2023, Volume 8, Issue 12: 31198-31216. doi: 10.3934/math.20231597
Abstract HTML PDF Viewed (1458)
Research article
Certain properties of a class of analytic functions involving the Mathieu type power series
Abdulaziz Alenazi Khaled Mehrez
2023, Volume 8, Issue 12: 30963-30980. doi: 10.3934/math.20231584
Abstract HTML PDF Viewed (1631)
Research article
Exploring the versatile properties and applications of multidimensional degenerate Hermite polynomials
Mohra Zayed Shahid Wani
2023, Volume 8, Issue 12: 30813-30826. doi: 10.3934/math.20231575
Abstract HTML PDF Cited (1) Viewed (1890)
Research article
Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions
Gyung Won Hwang Cheon Seoung Ryoo Jung Yoog Kang
2023, Volume 8, Issue 12: 30591-30609. doi: 10.3934/math.20231564
Abstract HTML PDF Cited (1) Viewed (1922)
Research article
A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions
Hari Mohan Srivastava Pishtiwan Othman Sabir Khalid Ibrahim Abdullah Nafya Hameed Mohammed Nejmeddine Chorfi Pshtiwan Othman Mohammed
2023, Volume 8, Issue 12: 29975-29994. doi: 10.3934/math.20231533
Abstract HTML PDF Cited (4) Viewed (1766)
Research article
Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation
Prathviraj Sharma Srikandan Sivasubramanian Nak Eun Cho
2023, Volume 8, Issue 12: 29535-29554. doi: 10.3934/math.20231512
Abstract HTML PDF Cited (11) Viewed (2110)
Research article
Problems concerning sharp coefficient functionals of bounded turning functions
Muhammmad Ghaffar Khan Wali Khan Mashwani Jong-Suk Ro Bakhtiar Ahmad
2023, Volume 8, Issue 11: 27396-27413. doi: 10.3934/math.20231402
Abstract HTML PDF Cited (5) Viewed (1736)
Research article
Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator
Ekram E. Ali Georgia Irina Oros Abeer M. Albalahi
2023, Volume 8, Issue 11: 27924-27946. doi: 10.3934/math.20231428
Abstract HTML PDF Cited (3) Viewed (1676)
Research article
Study of the fuzzy qspiral-like functions associated with the generalized linear operator
A. A. Azzam Daniel Breaz Shujaat Ali Shah Luminiţa-Ioana Cotîrlă
2023, Volume 8, Issue 11: 26290-26300. doi: 10.3934/math.20231341
Abstract HTML PDF Cited (1) Viewed (1838)
Research article
Region of variablity for Bazilevic functions
Syed Zakar Hussain Bukhari Abbas Kareem Wanas Mohamed Abdalla Sidra Zafar
2023, Volume 8, Issue 11: 25511-25527. doi: 10.3934/math.20231302
Abstract HTML PDF Cited (1) Viewed (1939)
Research article
Composition operators from harmonic H space into harmonic Zygmund space
Munirah Aljuaid Mahmoud Ali Bakhit
2023, Volume 8, Issue 10: 23087-23107. doi: 10.3934/math.20231175
Abstract HTML PDF Cited (1) Viewed (2010)
Research article
A new subclass of analytic and bi-univalent functions associated with Legendre polynomials
Abeer O. Badghaish Abdel Moneim Y. Lashin Amani Z. Bajamal Fayzah A. Alshehri
2023, Volume 8, Issue 10: 23534-23547. doi: 10.3934/math.20231196
Abstract HTML PDF Cited (3) Viewed (1969)
Research article
On the logarithmic coefficients for some classes defined by subordination
Ebrahim Analouei Adegani Davood Alimohammadi Teodor Bulboacă Nak Eun Cho Mahmood Bidkham
2023, Volume 8, Issue 9: 21732-21745. doi: 10.3934/math.20231108
Abstract HTML PDF Cited (3) Viewed (2038)