4 papers
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…
On digamma series convertible into hypergeometric series
Asena Çetinkaya, Dmitrii Karp
Series containing the digamma function arise when calculating the parametric derivatives of the hypergeometric functions and play a role in evaluation of Feynman diagrams. As these…
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…
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…