Papers - Geometric Function Atlas

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39 papers · harmonic univalent Page 1 of 2

Harmonic mappings, univalence criteria and a theorem of Lehtinen

Iason Efraimidis, Rodrigo Hernández · 2026 arXiv ↗

5 claims 4 theorems harmonic univalent

Sharp Bohr-Type inequalities for certain classes of close-to-convex functions

Shalini Rana, Naveen Kumar Jain · 2026 arXiv ↗

12 theorems Janowski starlike close-to-convex harmonic univalent

The sharp refined Bohr inequalities for a subclass of close-to-convex harmonic mappings

Ayush Kumar · 2026 arXiv ↗

10 theorems close-to-convex harmonic univalent

Bohr inequality and Bohr-Rogosinski inequality for K-Quasiconformal harmonic mappings

Molla Basir Ahamed and Taimur Rahman · 2025 arXiv ↗

17 theorems Ma-Minda starlike Janowski starlike close-to-convex

Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties

Serkan Çakmak, Sibel Yalçin · 2025 arXiv ↗

9 theorems close-to-convex starlike/convex of order harmonic univalent

On Hardy spaces, univalent functions and the second coefficient

Martin Chuaqui, Iason Efraimidis, Rodrigo Hernández · 2025 arXiv ↗

11 theorems close-to-convex typically real harmonic univalent

On certain subclasses of analytic and harmonic mappings

Raju Biswas · 2025 arXiv ↗

5 claims 10 theorems close-to-convex harmonic univalent

On the Pre-Schwarzian Norm and Starlikeness of Certain Logharmonic Mappings

Sushil Pandit · 2025 arXiv ↗

5 theorems harmonic univalent

On the coefficients estimate of K-quasiconformal harmonic mappings

Peijin Li and Saminathan Ponnusamy · 2025 arXiv ↗

8 claims 8 theorems close-to-convex typically real harmonic univalent

A geometric investigation of a certain subclass of univalent functions

Raju Biswas, Rajib Mandal · 2024 arXiv ↗

21 theorems close-to-convex harmonic univalent

Bohr inequalities via proper combinations for a certain class of close-to-convex harmonic mappings

Molla Basir Ahamed, Partha Pratim Roy · 2024 arXiv ↗

23 theorems close-to-convex harmonic univalent fluid dynamics

Geometric Subfamily of Functions Convex in Some Direction and Blaschke Products

Liulan Li, Saminthan Ponnusamy · 2024 arXiv ↗

4 claims 9 theorems close-to-convex harmonic univalent

Pre-Schwarzian and Schwarzian norm Estimates for class of Ozaki Close-to-Convex functions

Molla Basir Ahamed, Rajesh Hossain · 2024 arXiv ↗

10 theorems Janowski starlike close-to-convex p-valent

Univalent approximation by Fourier series of step functions

Allen Weitsman · 2024 arXiv ↗

2 theorems harmonic univalent

On Harmonic Univalent Spirallike Mappings

Md Firoz Ali, Sushil Pandit · 2023 arXiv ↗

12 theorems close-to-convex spirallike harmonic univalent

Univalence of horizontal shear of Cesàro type transforms

Swadesh Kumar Sahoo, Sheetal Wankhede · 2023 arXiv ↗

11 claims 17 theorems close-to-convex harmonic univalent

Theory of certain Non-Univalent Analytic functions

Kamaljeet Gangania · 2022 arXiv ↗

3 claims 24 theorems Ma-Minda starlike harmonic univalent

Bohr's Phenomenon for Some Univalent Harmonic Functions

Chinu Singla, Sushma Gupta, Sukhjit Singh · 2021 arXiv ↗

15 theorems harmonic univalent

Energy-minimal Principles in Geometric Function Theory

Tadeusz Iwaniec, Gaven Martin, Jani Onninen · 2021 arXiv ↗

17 theorems harmonic univalent medical imaging

Harmonic spirallike functions and harmonic strongly starlike functions

Xiu-Shuang Ma, Saminathan Ponnusamy, Toshiyuki Sugawa · 2021 arXiv ↗

12 theorems close-to-convex starlike/convex of order strongly starlike

Improved Bohr radius for the class of starlike log-harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu · 2021 arXiv ↗

16 theorems harmonic univalent

New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality

Serkan Çakmak, Elif Yaşar, Sibel Yalçın · 2021 arXiv ↗

17 theorems close-to-convex harmonic univalent cryptography

On a subclass of close-to-convex harmonic mappings

Manivannan Mathi, Jugal Kishore Prajapat · 2021 arXiv ↗

17 theorems close-to-convex harmonic univalent

On the Univalence of Polyharmonic Mappings

Layan El Hajj · 2021 arXiv ↗

8 theorems harmonic univalent

Quantum approach on linear combination of harmonic univalent mappings

Omendra Mishra, Saurabh Porwal · 2021 arXiv ↗

7 theorems harmonic univalent

Some properties of certain close-to-convex harmonic mappings

Xiao-Yuan Wang, Zhi-Gang Wang, Jin-Hua Fan, Zhen-Yong Hu · 2021 arXiv ↗

10 claims 16 theorems Ma-Minda starlike close-to-convex harmonic univalent

On quasiconformal close-to-convex harmonic mappings involving starlike functions

Zhi-Gang Wang, Xin-Zhong Huang, Zhi-Hong Liu, Rahim Kargar · 2020 arXiv ↗

11 theorems close-to-convex harmonic univalent

On the univalence of polyanalytic functions

Zayid Abdulhadi, Layan El Hajj · 2020 arXiv ↗

11 theorems harmonic univalent

Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm

Gang Liu, Saminathan Ponnusamy · 2017 arXiv ↗

26 theorems close-to-convex harmonic univalent

Generalized Zalcman conjecture for convex functions of order $α$

Liulan Li, Saminathan Ponnusamy, Jinjing Qiao · 2016 arXiv ↗

8 claims 11 theorems close-to-convex typically real harmonic univalent

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