Papers - Geometric Function Atlas

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19 papers · Saminathan Ponnusamy · 2010s Page 1 of 1

Differential Inequalities and Univalent Functions

Rosihan M. Ali, Milutin Obradović, Saminathan Ponnusamy · 2019 arXiv ↗

3 theorems

On univalent log-harmonic mappings

ZhiHong Liu, Saminathan Ponnusamy · 2019 arXiv ↗

8 theorems starlike/convex of order

Some properties of univalent log-harmonic mappings

ZhiHong Liu, Saminathan Ponnusamy · 2018 arXiv ↗

9 theorems

The spherical metric and univalent harmonic mappings

Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy · 2018 arXiv ↗

12 theorems close-to-convex cryptography

Bohr radius for locally univalent harmonic mappings

Ilgiz R Kayumov, Saminathan Ponnusamy, Nail Shakirov · 2017 arXiv ↗

14 theorems

Coefficients of univalent harmonic mappings

Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov · 2017 arXiv ↗

8 theorems close-to-convex

Elementary considerations for classes of meromorphic univalent functions

Saminathan Ponnusamy, Karl-Joachim Wirths · 2017 arXiv ↗

5 theorems

Radius of fully starlikeness and fully convexity of harmonic linear differential operator

ZhiHong Liu, Saminathan Ponnusamy · 2017 arXiv ↗

14 theorems starlike/convex of order close-to-convex

Sections of univalent harmonic mappings

Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov · 2017 arXiv ↗

6 theorems close-to-convex

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

On the generalized Zalcman functional $λa_n^2-a_{2n-1}$ in the close-to-convex family

Liulan Li, Saminathan Ponnusamy · 2016 arXiv ↗

7 claims 12 theorems close-to-convex typically real

Univalency of convolutions of univalent harmonic right half-plane mappings

Zhihong Liu, Saminathan Ponnusamy · 2016 arXiv ↗

5 theorems

Circular Symmetrization, Subordination and Arclength problems on Convex Functions

Mari Okada, Saminathan Ponnusamy, Allu Vasudevarao, Hiroshi Yanagihara · 2015 arXiv ↗

10 theorems close-to-convex

Univalent harmonic mappings and lift to the minimal surfaces

YuePing Jiang, ZhiHong Liu, Saminathan Ponnusamy · 2015 arXiv ↗

4 theorems close-to-convex

Where is $f(z)/f'(z)$ univalent?

Milutin Obradović, Saminathan Ponnusamy, Karl-Joachim Wirths · 2015 arXiv ↗

15 theorems close-to-convex

COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANARprotect unhbox voidb@x penalty @M {}HARMONICprotect unhbox voidb@x penalty @M {}MAPPINGS

SHAOLIN CHEN, SAMINATHAN PONNUSAMY and ANTTI RASILA · 2013 link ↗

2 theorems close-to-convex

Radius of Close-to-convexity of Harmonic Functions

David Kalaj, Saminathan Ponnusamy, Matti Vuorinen · 2011 arXiv ↗

13 theorems close-to-convex

Coefficient Inequalities for Concave and Meromorphically Starlike Univalent Functions

Bappaditya Bhowmik, Saminathan Ponnusamy · 2010 arXiv ↗

9 theorems meromorphic starlike

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