Papers - Geometric Function Atlas

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138 papers · function family Page 1 of 5

Coefficient Estimates and Distortion Bounds for Rabotnov Functions with Application to Digital Image Warping

Thangamani, Chandru, Usanmaz, Çağlar · 2026 link ↗

8 claims 33 theorems bi-univalent close-to-convex starlike/convex of order coefficient-bounds distortion image processing

Coefficient problems of Starlike Functions Related to a Balloon-Shaped Domain

S. Sivaprasad Kumar and A. Tripathi · 2026 arXiv ↗

18 claims 15 theorems Janowski starlike close-to-convex strongly starlike

Harmonic mappings, univalence criteria and a theorem of Lehtinen

Iason Efraimidis, Rodrigo Hernández · 2026 arXiv ↗

5 claims 4 theorems harmonic univalent

Logarithmic Coefficients Problems of Geometric Subclass of Closed-to-convex Functions

Chayani Dhara, Nirupam Ghosh · 2026 arXiv ↗

11 claims 10 theorems close-to-convex

Miller-Ross Functions Coefficients and Kernel-Based CT-Scan Enhancement Technique

Murugusundaramoorthy, Nalliah · 2026 link ↗

7 claims coefficient-bounds image processing medical imaging

Moduli difference of initial inverse logarithmic coefficients for starlike and convex functions

Molla Basir Aahmed, Partha Pratim Roy · 2026 arXiv ↗

10 claims 5 theorems Ma-Minda starlike Bazilevič cryptography fluid dynamics

On Geometric properties and Coefficient bounds for starlike functions associated with balloon-shaped domain

S. Sivaprasad Kumar and Arya Tripathi · 2026 arXiv ↗

9 claims 13 theorems Ma-Minda starlike

On the Third Hankel Determinant for Inverse Coefficients of Starlike Functions: A Bernstein Polynomial Approach

V. Allu, Shobhit Kumar · 2026 arXiv ↗

2 claims 2 theorems

Second-Order Toeplitz Determinant for Quasi-Convex Mappings

Surya Giri · 2026 arXiv ↗

11 claims 11 theorems

Sharp Coefficient Bounds for certain q-Starlike Functions

S. Sivaprasad Kumar; Snehal Pannu · 2026 link ↗

16 claims 18 theorems Ma-Minda starlike q-starlike image processing signal processing

Sharp Coefficient Estimates for Analytic Functions Subordinate to the Cusp Domain: Theory and Image Processing Applications

El-Ityan, Tayyah, Alsalihi, Frasin, Lupaş · 2026 link ↗

13 claims 13 theorems Janowski starlike close-to-convex strongly starlike coefficient-bounds image processing machine learning

Sharp Coefficient Estimates for the Exponential Starlike class

Pradip Das and Nabadwip Sarkar · 2026 arXiv ↗

13 claims 9 theorems close-to-convex spirallike bounded turning

Sharp Estimates of Hankel Determinants for certain classes of convex univalent functions

Vasudevarao Allu, Shobhit Kumar · 2026 arXiv ↗

4 claims 3 theorems

The second and third Hankel determinants for certain classes of functions

Vasudevarao Allu, Shobhit Kumar · 2026 arXiv ↗

6 claims 9 theorems Janowski starlike strongly starlike

The second and third Hankel determinants for certain convex subclass of functions

Vasudevarao Allu, Shobhit Kumar · 2026 arXiv ↗

3 claims 2 theorems

The second and third Hankel determinants for starlike MA--Minda subclass associated to quadratic polynomials

Vasudevarao Allu, Shobhit Kumar · 2026 arXiv ↗

3 claims 4 theorems Ma-Minda starlike strongly starlike

Zalcman Conjecture for Starlike Mappings in Higher Dimensions

Surya Giri · 2026 arXiv ↗

5 claims 3 theorems close-to-convex typically real

An estimation of the pre-Schwarzian norm for certain classes of analytic functions

Vasudevarao Allu, Raju Biswas and Rajib Mandal · 2025 arXiv ↗

10 claims 4 theorems Ma-Minda starlike Janowski starlike strongly starlike

Classes of Ma-Minda type analytic functions associated with a kidney-shaped domain

Adel Salim Tayyah · 2025 link ↗

14 claims 17 theorems Ma-Minda starlike strongly starlike uniformly convex medical imaging

Estimates of coefficients for bi-univalent Ma–Minda-type functions associated with q-Srivastava–Attiya operator

Norah Saud Almutairi; Adarey Saud Almutairi; Awatef Shahen; Hanan Darwish · 2025 link ↗

6 claims Ma-Minda starlike bi-univalent

Growth, Distortion, Pre-Schwarzian and Schwarzian norm estimates for Generalized Robertson class

Molla Basir Ahamed and Rajesh Hossain · 2025 arXiv ↗

5 claims 13 theorems Janowski starlike bi-univalent close-to-convex

Hankel determinants with Fekete–Szegö parameter for a subset of Bazilevič functions linked with Ma–Minda function

Ayotunde Olajide Lasode; Rasheed Olawale Ayinla; Risikat Ayodeji Bello; Atinuke Ayanfe Amao; Lolade Modupe Fatunsin; Bitrus Sambo; Oluwasegun Awoyale · 2025 link ↗

6 claims

Logarithmic coefficients for exponential classes of starlike and convex functions

Shantanu Panja; Sujoy Majumder · 2025 arXiv ↗

14 claims 11 theorems Janowski starlike q-starlike close-to-convex

On Coefficient problems for classes S_e and C_e

Sujoy Majumder, Nabadwip Sarkar and Molla Basir Ahamed · 2025 arXiv ↗

16 claims 14 theorems close-to-convex strongly starlike

On a certain class of starlike functions

Md Firoz Ali, Md Nurezzaman · 2025 arXiv ↗

6 claims 6 theorems spirallike

On certain applications of Grunsky coefficients in the theory of univalent functions

M. Obradovic and N. Tuneski · 2025 arXiv ↗

12 claims 12 theorems strongly starlike

On certain subclasses of analytic and harmonic mappings

Raju Biswas · 2025 arXiv ↗

5 claims 10 theorems close-to-convex harmonic univalent

On close-to-convex functions

Md Nurezzaman · 2025 arXiv ↗

8 claims 6 theorems Ma-Minda starlike close-to-convex strongly starlike

On one filtration of holomorphic functions

Fiana Jacobzon · 2025 link ↗

6 claims 12 theorems

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

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