∡
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
181 papers · close-to-convex · 2020s
Page 5 of 7
Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions
Vasudevarao Allu · 2021
link ↗
14 theorems
close-to-convex
Harmonic spirallike functions and harmonic strongly starlike functions
Xiu-Shuang Ma, Saminathan Ponnusamy, Toshiyuki Sugawa · 2021
arXiv ↗
10 theorems
close-to-convex
starlike/convex of order
strongly starlike
Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions
Bilal Khan · 2021
link ↗
20 theorems
bi-univalent
close-to-convex
q-starlike
Initial logarithmic coefficients for functions starlike with respect to symmetric points
Paweł Zaprawa · 2021
link ↗
8 theorems
close-to-convex
J. Math. Computer Sci., 25 (2022), 29–36
Muhammad Ghaffar Khan, Bakhtiar Ahmad, G. Murugusundaramoorthy, Wali Khan Mashwani, Sibel Yalçın, Timilehin Gideon Shaba et al. · 2021
link ↗
10 theorems
bi-univalent
close-to-convex
q-starlike
Miskolc Mathematical Notes
İbrahim Aktaş, Evrim Toklu, Halit Orhan · 2021
link ↗
4 theorems
close-to-convex
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 Sandwich Theorems Results for Certain Univalent Functions Defined by Generalized Operators
Waggas Galib Atshan, Aqeel Ahmed Redha Ali · 2021
link ↗
close-to-convex
On a class of analytic functions related to Robertson’s formula and subordination
Adam Lecko · 2021
link ↗
11 theorems
close-to-convex
On a subclass of close-to-convex harmonic mappings
Manivannan Mathi, Jugal Kishore Prajapat · 2021
arXiv ↗
13 theorems
close-to-convex
harmonic univalent
On the Fekete–Szegö type functionals for functions which are convex in the direction of the imaginary axis
Paweł Zaprawa · 2021
link ↗
26 theorems
close-to-convex
On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions
Vasudeavarao Allu, Vibhuti Arora, Amal Shaji · 2021
arXiv ↗
2 theorems
close-to-convex
On the difference of inverse coefficients of convex functions
Young Jae Sim · 2021
link ↗
10 theorems
close-to-convex
Proofs - EJMS-2109343
hp · 2021
link ↗
10 theorems
bi-univalent
close-to-convex
Radius of Starlikeness of Certain Analytic Functions
Asha Sebastian, V. Ravichandran · 2021
link ↗
4 theorems
Janowski starlike
close-to-convex
strongly starlike
starlike
radius-problem
Sebastian
Sains Malaysiana 50(12)(2021): 3745-3751
Nur Hazwani Aqilah Abdul Wahid, Daud Mohamad · 2021
link ↗
8 theorems
close-to-convex
q-starlike
Second Hankel determinant of logarithmic coefficients of certain analytic functions
Vasudevarao Allu, Vibhuti Arora · 2021
arXiv ↗
14 claims
5 theorems
close-to-convex
spirallike
Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions
Adam Lecko · 2021
link ↗
8 theorems
function class
close-to-convex
Sheza M. El-Deeb; Georgia I. Oros
Sheza M. El-Deeb, Georgia Irina Oros · 2021
link ↗
10 theorems
close-to-convex
Some applications of q-difference operator involving a family of meromorphic harmonic functions
Neelam Khan · 2021
link ↗
14 theorems
meromorphic starlike
close-to-convex
q-starlike
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
9 theorems
Ma-Minda starlike
close-to-convex
harmonic univalent
Starlikeness of Analytic Functions with Subordinate Ratios
Rosihan M. Ali, Kanika Sharma, V. Ravichandran · 2021
arXiv ↗
10 theorems
Janowski starlike
close-to-convex
starlike/convex of order
Study on new integral operators defined using confluent hypergeometric function
Georgia Irina Oros · 2021
link ↗
8 theorems
close-to-convex
Subclasses of Univalent Functions Involving Modified Sigmoid Function
Olubunmi A. Fadipe-Joseph, Matthew Olanrewaju Oluwayemi, E. O. Titiloye · 2021
link ↗
8 theorems
close-to-convex
The second Hankel determinant for strongly convex and Ozaki close-to-convex functions
Young Jae Sim · 2021
link ↗
8 theorems
close-to-convex
V22N2-P133-143_OCR
Tinghui Yang · 2021
link ↗
9 theorems
Ma-Minda starlike
close-to-convex
V22N2-P153-163_OCR
Tinghui Yang · 2021
link ↗
5 theorems
Ma-Minda starlike
close-to-convex
V23N3-P223-231_OCR
Tinghui Yang · 2021
link ↗
5 theorems
close-to-convex
V28N3-P201-204_OCR
Tinghui Yang · 2021
link ↗
7 theorems
close-to-convex
V29N2-P73-87_OCR
Tinghui Yang · 2021
link ↗
17 theorems
close-to-convex
← Prev
1
2
3
4
5
6
7
Next →
📄 Submit a paper for indexing
Paper URL (arXiv, Springer, MDPI, AIMS, etc.)
Submit Paper
↑↓
navigate
↵
open
esc
close
✦ You're explorer
#5,999
to wander the registry - thanks for stopping by.
Tell us what you'd like to see →
💬 Feedback
🧭 Take a tour