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INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
AGHALARY RASOUL,JAHANGIRI JAY M. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
Inclusion relations under certain integral operators are proved for k-uniformly starlike functions. These results are also extended to k-uniformly convex, close-to-convex, and quasi-convex functions
ON A FIRST ORDER STRONG DIFFERENTIAL SUBORDINATION AND APPLICATION TO UNIVALENT FUNCTIONS
Aghalary, Rasoul,Arjomandinia, Parviz Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.2
Using the concept of the strong differential subordination introduced in [2], we find conditions on the functions θ, 𝜑, G, F such that the first order strong subordination θ(p(z)) + $\frac{G(\xi)}{\xi}$zp'(z)𝜑(p(z)) ≺≺ θ(q(z)) + F(z)q'(z)𝜑(q(z), implies p(z) ≺ q(z), where p(z), q(z) are analytic functions in the open unit disk 𝔻 with p(0) = q(0). Corollaries and examples of the main results are also considered, some of which extend and improve the results obtained in [1].
On Applications of Differential Subordination to Certain Subclass of Multivalent Functions
Aghalary, Rasoul,Wang, Zhi-Gang Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.2
In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator $\tau^{\lambda}_p(a,c)$. Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.
Aghalary, Rasoul Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.3
Making use of a linear operator, we introduce certain subclass of meromorphically univalent functions in the punctured unit disk and study its properties including some inclusion results, coefficient and distortion problems. Our result generalize many results known in the literature.
On Subclasses of P-Valent Analytic Functions Defined by Integral Operators
Aghalary, Rasoul Department of Mathematics 2007 Kyungpook mathematical journal Vol.47 No.3
In the present paper we introduce the subclass $S^{\lambda}_{a,c}(p,A,B)$ of analytic functions and then we investigate some interesting properties of functions belonging to this subclass. Our results generalize many results known in the literature and especially generalize some of the results obtained by Ling and Liu [5].
Ebadian, Ali,Aghalary, Rasoul,Najafzadeh, Shahram Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.4
A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.