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math.CV2026
Note on the Coefficient Conjecture of Clunie and Sheil-Small on the univalent harmonic mapping
Omendra Mishra, Asena Çetinkaya
In this article, we construct generalized harmonic univalent mappings and find its coefficients bounds. We present the counterexample to validate the coefficient conjecture propose…
math.CV2021
Analytic functions with conic domains associated with certain generalized q-integral operator
Om Ahuja, Asena Çetinkaya, Naveen Kumar Jain
In this paper, we define a new subclass of -uniformly starlike functions of order by using certain generalized -integral operator. We explore geometric inter…
math.CV2019
On The Coefficient Conjecture of Clunie and Sheil-Small
Yaşar Polatoğlu, Oya Mert, Asena Çetinkaya
In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions S_H(S):={f = h+\overline g|h is element of S} by means of sec…