Papers - Geometric Function Atlas

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138 papers · function family Page 3 of 5

Toeplitz Determinants in One and Higher Dimensions

Surya Giri, S. Sivaprasad Kumar · 2022 arXiv ↗

11 claims 16 theorems Janowski starlike strongly starlike

Two types of the second Hankel determinant for the class $\mathcal{U}$ and the general class $\mathcal{S}$

Milutin Obradović, Nikola Tuneski · 2022 arXiv ↗

7 claims 3 theorems

Univalence Criteria and Analogs of the John Constant

Yong Chan Kim, Toshiyuki Sugawa · 2022 arXiv ↗

4 claims 11 theorems

Univalence Criteria and Quasiconformal Extensions

Murat Çağlar, Halit Orhan · 2022 arXiv ↗

2 claims 12 theorems

A Novel Class of Starlike Functions

S. Sivaprasad Kumar, Shagun Banga · 2021 arXiv ↗

6 claims 23 theorems Ma-Minda starlike starlike/convex of order strongly starlike

Second Hankel determinant of logarithmic coefficients of certain analytic functions

Vasudevarao Allu, Vibhuti Arora · 2021 arXiv ↗

14 claims 8 theorems close-to-convex spirallike

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

Sufficiency for Nephroid Starlikeness using Hypergeometric Functions

A. Swaminathan, Lateef Ahmad Wani · 2021 arXiv ↗

4 claims 9 theorems Ma-Minda starlike Janowski starlike strongly starlike medical imaging

Univalence and Quasiconformal Extension of an Integral Operator

S. Kanas, E. Deniz, H. Orhan · 2021 arXiv ↗

2 claims 8 theorems

A Cardioid Domain and Starlike Functions

S. Sivaprasad Kumar, Kamaljeet Gangania · 2020 arXiv ↗

10 claims 27 theorems Janowski starlike strongly starlike

Estimates for initial coefficients of certain bi-univalent functions

Vibha Madaan, Ajay Kumar, V. Ravichandran · 2020 arXiv ↗

6 claims 5 theorems Ma-Minda starlike Janowski starlike bi-univalent

Fekete-Szego Inequality For Analytic And Bi-univalent Functions Subordinate To (p; q)-Lucas Polynomials

Ala Amourah · 2020 arXiv ↗

5 claims 5 theorems bi-univalent p-valent

Improved bounds of the third Hankel determinant for classes of univalent functions with bounded turning

Milutin Obradović, Nikola Tuneski, Pawel Zaprawa · 2020 arXiv ↗

4 claims 4 theorems bounded turning

Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions

Milutin Obradović, Nikola Tuneski · 2020 arXiv ↗

4 claims 4 theorems close-to-convex bounded turning

Initial estimates for certain subclasses of bi-univalent functions with $κ-$Fibonacci numbers

N. Magesh, J. Nirmala, J. Yamini · 2020 arXiv ↗

8 claims 11 theorems Ma-Minda starlike bi-univalent Bazilevič

On A Special Type Of Ma-Minda Function

S. Sivaprasad Kumar, Shagun Banga · 2020 arXiv ↗

12 claims 21 theorems Ma-Minda starlike starlike/convex of order strongly starlike

On a conjecture about univalent polynomials

Ilgiz R. Kayumov, Diana M. Khammatova · 2020 arXiv ↗

2 claims 4 theorems

Solution of the logarithmic coefficients conjecture in some families of univalent functions

Stanislawa Kanas, Vali Soltani Masih · 2020 arXiv ↗

11 claims 26 theorems p-valent

Zalcman Conjecture for certain analytic and univalent functions

Vasudevarao Allu, Abhishek Pandey · 2020 arXiv ↗

6 claims 13 theorems close-to-convex typically real cryptography

Zalcman and generalized Zalcman conjecture for the class $\mathcal{U}$

Milutin Obradović, Nikola Tuneski · 2020 arXiv ↗

7 claims 4 theorems cryptography engineering

Coefficient and Fekete-Szegö problem estimates for certain subclass of analytic and bi-univalent functions

Hesam Mahzoon · 2019 arXiv ↗

7 claims 10 theorems Ma-Minda starlike bi-univalent starlike/convex of order

Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions

Adiba Naz, Sushil Kumar, V. Ravichandran · 2019 arXiv ↗

15 claims 16 theorems Ma-Minda starlike Janowski starlike close-to-convex

Faber polynomial coefficient estimation of subclass of bi-subordinate univalent functions

S. A. Saleh, Alaa H. El-Qadeem, Mohamed A. Mamon · 2019 arXiv ↗

3 claims 13 theorems bi-univalent strongly starlike

Hankel determinant for a class of analytic functions

Milutin Obradovic, Nikola Tuneski · 2019 arXiv ↗

3 claims 1 theorems

Hankel determinants of second and third order for the class $\boldsymbol{\mathcal{S}}$ of univalent functions

Milutin Obradović, Nikola Tuneski · 2019 arXiv ↗

8 claims 1 theorems

New upper bounds of the third Hankel determinant for some classes of univalent functions

Milutin Obradovic, Nikola Tuneski · 2019 arXiv ↗

8 claims 3 theorems

The sharp bounds of the second and third Hankel determinants for the class SL^*

Shagun Banga, S. Sivaprasad Kumar · 2019 arXiv ↗

4 claims 7 theorems strongly starlike bounded turning typically real

Upper bound of second Hankel determinant of subclass of bi-univalent functions defined by subordination

Alaa H. El-Qadeem, Mohamed A. Mamon · 2019 arXiv ↗

2 claims 10 theorems Janowski starlike bi-univalent p-valent

A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind

Feras Yousef, Somaia Alroud, Mohamed Illafe · 2018 arXiv ↗

5 claims 13 theorems bi-univalent p-valent

A Comprehensive subclass of analytic and bi-univalent functions associated with subordination

Ala Amourah, Mohamed Illafe · 2018 arXiv ↗

4 claims 2 theorems bi-univalent close-to-convex p-valent

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