Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator
We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function.
Daniel Breaz +3 more
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A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series [PDF]
To date, many interesting subclasses of analytic functions involving symmetrical points and other well celebrated domains have been investigated and studied.
Araci, Serkan +5 more
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On some geometric properties of normalized Wright functions
The main purpose of the present paper is to determine the radii of lemniscate starlikeness, lemniscate convexity, Janowski starlikeness and Janowski convexity of normalized Wright functions. The key tools in the proof of our main results are the infinite
Neslihan Karagöz, Evrim Toklu
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Some Applications of Analytic Functions Associated with q-Fractional Operator
This paper introduces a new fractional operator by using the concepts of fractional q-calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are generalized and studied regarding their certain geometric characteristics.
Nazar Khan +5 more
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Inclusion of the Generalized Bessel Functions in the Janowski Class [PDF]
Sufficient conditions onA,B,p,b, andcare determined that will ensure the generalized Bessel functionup,b,csatisfies the subordinationup,b,c(z)≺1+Az/(1+Bz). In particular this gives conditions for(-4κ/c)(up,b,c(z)-1),c≠0, to be close-to-convex. Also, conditions forup,b,c(z)to be Janowski convex andzup,b,c(z)to be Janowski starlike in the unit diskD=z∈C ...
Saiful R. Mondal, Mohammed Al Dhuain
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Subclass of analytic functions related with Miller-Ross-type Poisson distribution series [PDF]
The purpose of the present paper is to find a necessary and sufficient condition for the Miller-Ross-type Poisson distribution series to be in the class $\mathcal{P}^{\ast}(\alpha,\beta,\gamma)$ of analytic functions with negative coefficients.
Basem Aref Frasin
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On generalized close-to-convexity related with strongly Janowski functions [PDF]
Janowski functions of strongly type are used to define certain classes of analytic functions which generalize the concept of close-to-convexity and bounded boundary rotation.
SHAH, Shujaat Ali, NOOR, Khalida Inayat
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Class of Analytic Function Related with Uniformly Convex and Janowski’s Functions [PDF]
In this paper, we introduce a new subclass of analytic functions in open unit disc. We obtain coefficient estimates, extreme points, and distortion theorem. We also derived the radii of close-to-convexity and starlikeness for this class.
Akhter Rasheed +3 more
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A Subclass of Meromorphic Close-to-Convex Functions of Janowski's Type [PDF]
Summary: We introduce a subclass \(\Sigma (A, B)\) (\(-1 \leq B < A \leq 1\)) of functions which are analytic in the punctured unit disk and meromorphically close-to-convex. We obtain some coefficients bounds and some argument and convolution properties for functions belonging to this class.
Young Jae Sim, Oh Sang Kwon
openaire +4 more sources
The radius of starlikeness for convex functions of complex order
We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order.
Yaşar Polatoglu +2 more
doaj +1 more source

