16 citations · 22 across the 8 of their papers we have counts for
8 papers
Briot-Bouquet differential subordinations of analytic functions involving the Mittag-Leffler function defined in Cardioid domain
Asena Cetinkaya, Sahsene Altinkaya
In this researh work, we establish a new subclass of analytic functions constructed by the Mittag-Leffler function that maps the open unit disc onto the region bounded by the Cardi…
Convolution features of univalent meromorphic functions generated by Barnes-Mittag-Leffler function
Tuğba Yavuz, Şahsene Altınkaya
The Mittag-Leffler function plays an important role in Geometric Function Theory, particularly in the study of analytic and meromorphic function classes. Among its various generali…
On the inclusion properties for harmonic error functions
Şahsene Altınkaya, Sibel Yalçın
For the error functions of the form \begin{equation*} E_{r}\mathfrak{f}(z)=\frac{\sqrt{πz}}{2}er\ \mathfrak{f}(\sqrt{z})=z+Σ_{n=2}^{\infty} \frac{(-1)^{n-1}}{(2n-1)(n-1)!}z^{n}, \e…
Hilbert metric and quasiconformal mappings
Sahsene Altinkaya, Masayo Fujimura, Matti Vuorinen
We prove a functional identity between the Hilbert metric and the visual angle metric in the unit disk. The proof utilizes the Poincaré hyperbolic metric in terms of which both met…
Some Connections Between Various Subclasses of Harmonic Univalent Functions Involving Pascal Distribution Series
Serkan Çakmak, Elif Yaşar, Sibel Yalçın +1
In the present paper, we investigate connections between various subclasses of harmonic univalent functions by using a convolution operator involving the Pascal distribution series…
Inclusion properties for bi-univalent functions of complex order defined by combining of Faber polynomial expansions and Fibonacci numbers
Sahsene Altinkaya, Samaneh G. Hamidi, Jay M. Jahangiri +1
In this present investigation, we introduce the new class R of bi-univalent functions defined by using the Tremblay fractional derivative operator. Additionally, we use the Faber p…
Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator
S. Kanas, S. Altinkaya, S. Yalcin
The theory of -analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The -derivatives and -integrals play a prominent role in the s…
Chebyshev polynomial coefficient bounds for a subclass of bi-univalent functions
Sahsene Altinkaya, Sibel Yalcin
In this work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.