∡
GFT Registry
Home
Browse
▾
Function families
Encyclopedia of GFT families
Class hierarchy
Super/sub-class containment graph
Machine proofs
Certified enclosures
Applications
Families × application areas
Tools
▾
Verify & counterexamples
Bring your own f(z); find witnesses
Coefficient expansions
a₂…a₅ in Schur parameters
Image Lab
Conformal image explorer
Cryptography Lab
Geometric S-box benchmark
Reference
▾
Papers
FAQ
Architecture
☽
🔍
Jump to family, class, paper…
⌘K
🧭 New here?
Take a guided tour of the site.
Start tour
Dismiss
Indexed Papers
1088 papers · 1039 GFT claims · 10796 theorems extracted · 1951–2026
2
1950s
6
1960s
9
1970s
33
1980s
25
1990s
70
2000s
468
2010s
470
2020s
50 papers · coefficient bound · 2010s
Page 1 of 2
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
Coefficient estimates of some classes of rational functions
Alexander G. Ramm · 2019
link ↗
15 claims
7 theorems
Ma-Minda starlike
bi-univalent
strongly starlike
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
Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
N. Magesh, V. K. Balaji, C. Abirami · 2018
arXiv ↗
12 claims
8 theorems
Ma-Minda starlike
bi-univalent
Faber polynomial coefficient estimates for a class of analytic bi-univalent functions
Ala Amourah · 2018
arXiv ↗
7 claims
4 theorems
bi-univalent
close-to-convex
p-valent
Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials
Feras Yousef, B. A. Frasin, Tariq Al-Hawary · 2018
arXiv ↗
9 claims
7 theorems
bi-univalent
Fekete-Szegö inequality of bi-starlike and bi-convex functions of order $b$ associated with symmetric $q$-derivative in conic domains
R. B. Sharma, K. Rajya Laxmi, N. Magesh · 2018
arXiv ↗
4 claims
2 theorems
Ma-Minda starlike
bi-univalent
uniformly convex
Initial bounds for certain classes of bi-univalent functions defined by Horadam polynomials
Nanjundan Magesh, Jagadeesan Yamini, Chinnaswamy Abirami · 2018
arXiv ↗
8 claims
4 theorems
Ma-Minda starlike
bi-univalent
New Subclasses of Analytic and Bi-Univalent Functions Endowed with Coefficient Estimate Problems
Feras Yousef, Somaia Alroud, Mohamed Illafe · 2018
arXiv ↗
3 claims
11 theorems
bi-univalent
p-valent
On a generalization of starlike functions
Sarita Agrawal · 2018
arXiv ↗
4 claims
9 theorems
close-to-convex
starlike/convex of order
Some inequalities for a certain subclass of starlike functions
R. Kargar, H. Mahzoon, N. Kanzi · 2018
arXiv ↗
6 claims
10 theorems
starlike/convex of order
strongly starlike
On Booth lemniscate of starlike functions
R. Kargar, A. Ebadian, J. Sokół · 2017
arXiv ↗
6 claims
8 theorems
Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
H. Orhan, N. Magesh, V. K. Balaji · 2017
arXiv ↗
8 claims
7 theorems
Ma-Minda starlike
bi-univalent
close-to-convex
Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials
Halit Orhan, Evrim Toklu, Ekrem Kadıoğlu · 2017
arXiv ↗
6 claims
7 theorems
Ma-Minda starlike
bi-univalent
Bazilevič
Sub classes of Bi-Univalent Functions Defined by Salagean type $q-$ Difference Operator
G. Murugusundaramoorthy, K. Vijaya · 2017
arXiv ↗
10 claims
6 theorems
bi-univalent
Upper bound for the second Hankel determinant of certain subclass of analytic and bi-univalent functions
Nizami Mustafa · 2017
arXiv ↗
7 claims
5 theorems
Ma-Minda starlike
bi-univalent
Applications of Livingston-type inequalities to the generalized Zalcman functional
Iason Efraimidis, Dragan Vukotić · 2016
arXiv ↗
11 claims
11 theorems
close-to-convex
typically real
p-valent
Certain results on $q$-starlike and $q$-convex error functions
S. Kanas, C. Ramachandran, L. Vanitha · 2016
arXiv ↗
6 claims
5 theorems
q-starlike
spirallike
p-valent
quantum
physics
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
Generalized Zalcman conjecture for some classes of analytic functions
V. Ravichandran, Shelly Verma · 2016
arXiv ↗
14 claims
9 theorems
close-to-convex
strongly starlike
typically real
cryptography
Logarithmic coefficients of close-to-convex functions
Md Firoz Ali, D. K. Thomas, A. Vasudevarao · 2016
arXiv ↗
3 claims
5 theorems
close-to-convex
On A Subclass of Close-to-Convex Functions
Yao Liang Chung, See Keong Lee, Maisarah Haji Mohd · 2016
arXiv ↗
5 claims
13 theorems
close-to-convex
starlike/convex of order
1
2
Next →
📄 Submit a paper for indexing
Paper URL (arXiv, Springer, MDPI, AIMS, etc.)
Submit Paper
↑↓
navigate
↵
open
esc
close
✦ You're explorer
#5,980
to wander the registry - thanks for stopping by.
Tell us what you'd like to see →
💬 Feedback
🧭 Take a tour