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ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS
Yalcin Sibel,Ozturk Metin Korean Mathematical Society 2006 대한수학회지 Vol.43 No.4
We define and investigate a subclass of complex valued harmonic convex functions that are univalent and sense preserving in the open unit disk. We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Altinkaya, Sahsene,Yalcin, Sibel The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.3
The object of this paper to construct a new class $$A^m_{{\mu},{\lambda},{\delta}}({\alpha},{\beta},{\gamma},t,{\Psi})$$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.
( Sahsene Altinkaya ),( Sibel Yalcin ) 호남수학회 2018 호남수학학술지 Vol.40 No.3
The object of this paper to construct a new class of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.
ON A NEW CLASS OF SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH SUBORDINATION
Altinkaya, Sahsene,Cakmak, Serkan,Yalcin, Sibel The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.3
In this present investigation, we introduce a new class of harmonic univalent functions of the form $f=h+{\bar{g}}$ in the open unit disk ${\Delta}$. We get basic properties, like, necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.
Coefficient Estimates for Sãlãgean Type λ-bi-pseudo-starlike Functions
Joshi Santosh,Altinkaya, Sahsene,Yalcin, Sibel Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.4
In this paper, we have constructed subclasses of bi-univalent functions associated with ${\lambda}$-bi-pseudo-starlike functions in the unit disc U. Furthermore we established bound on the coefficients for the subclasses $S^{\lambda}_{\Sigma}(k,{\alpha})$ and $S^{\lambda}_{\Sigma}(k,{\beta})$.
ON A NEW CLASS OF SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH SUBORDINATION
( Sahsene Altinkaya ),( Serkan Cakmak ),( Sibel Yalcin ) 호남수학회 2018 호남수학학술지 Vol.40 No.3
In this present investigation, we introduce a new class of harmonic univalent functions of the form f = h + g in the open unit disk △. We get basic properties, like, necessary and suffi-cient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.
MAPPING PROPERTIES FOR CONIC REGIONS ASSOCIATED WITH WRIGHT FUNCTIONS
Din, Muhey U,Yalcin, Sibel The Honam Mathematical Society 2020 호남수학학술지 Vol.42 No.2
In this paper, we are mainly interested to find sufficient conditions for the convolution operator 𝓨<sub>λ,µ</sub>f(z) = zW<sub>λ,µ</sub>(z) ∗ f(z) belonging to the classes 𝓤𝓒𝓥 (k, α), 𝓢<sub>p</sub> (k, α), S*<sub>ς</sub> and C<sub>ς</sub>.
Vanithakumari Balasubramaniam,Saravanan Gunasekar,Baskaran Sudharsanan,Sibel Yalcin 대한수학회 2024 대한수학회논문집 Vol.39 No.2
In this paper, a new subclass, $\mathcal{SC}_{\sigma}^{\mu,{p},{q}}({r},{s};x)$, of Sakaguchi-type analytic bi-univalent functions defined by $({p},{q})$-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for $|a_{2}|$ and $|a_{3}|$ are obtained. Fekete-Szeg\"{o} inequalities for the class are found. Finally, we give some corollaries.