196,615 research outputs found
Janowski subclasses of starlike mappings
No full textIn this paper, two subclasses of biholomorphic starlike mappings named Janowski starlike and Janowski almost starlike with complex parameters are in- troduced and studied. We determine M such that holomorphic mappings f which satisfy the condition lDf (z) − Il ≤ M , z ∈ Bn, are Janowski starlike, respectively Janowski almost starlike. We also derive sufficient conditions for normalized holomorphic mappings (expressed in terms of their coefficient bounds) to belong to one of the subclasses of mappings mentioned above.
Mathematics Subject Classification (2010): 32H02, 30C45.
Received 19 February 2022; Accepted 17 March 2022
Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
No full textLet's take f(z) = h (z) + which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar ((z) over bar) = w(z)f(z) when vertical bar w(z)vertical bar < m, w(z) (sic) m(2)(b(1)-z)/m(2)-b(1)z, h(z) is an element of S*(A, B). In such case S*(A, B) is known to be the class for Janowski starlike functions. We will investigate growth theorems, distortion theorems, jacobian bounds and coefficient ineqaulities, convex combination and convolution properties for this subclass.Publisher's Versio
Sufficient conditions for Janowski starlikeness
No full text. These results are then applied to obtain sufficient conditions for analytic functions to be Janowski starlike
Janowski starlikeness for a class of analytic functions
No full textAbstractA normalized analytic function f defined on the open unit disk is a Janowski starlike function if zf′(z)/f(z) is subordinated to (1+Az)/(1+Bz), where A and B are complex numbers satisfying the conditions |B|≤1 and A≠B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtained for functions in this class to be Janowski starlike. The results obtained extend earlier known works
Borderland Narratives
No full text "Stories across Borders: Myths of Origin and Their Contestation in the Borderlands of South and Southeast Asia" edited by Monica Janowski and Erik de Maake
On Janowski Starlike Functions
No full textFor analytic functions f(z) in the open unit disc 𕌠with f(0)=0 and f′(0)=1, applying the fractional calculus for f(z), a new fractional operator Dλf(z) is introduced. Further, a new subclass ðÂ’®Î»âˆ—(A,B) consisting of f(z) associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class ðÂ’®Î»âˆ—(A,B)
Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method
No full textIn this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class.
Our study is based on the harmonic shear methods for harmonic functions
Sufficient Conditions for Janowski Starlikeness
No full textLet A,B,D,E∈[−1,1] and let p(z) be an analytic function defined on the open unit disk, p(0)=1. Conditions on A, B, D, and E are determined so that 1+βzp'(z) being subordinated to (1+Dz)/(1+Ez) implies that p(z) is subordinated to (1+Az)/(1+Bz). Similar results are obtained by considering the expressions 1+β(zp'(z)/p(z))
and 1+β(zp'(z)/p2(z)). These results are then applied to obtain sufficient conditions for analytic functions to be Janowski starlike
On a Subfamily of q-Starlike Functions with Respect to m-Symmetric Points Associated with the q-Janowski Function
No full textThe main objective of this paper is to study a new family of analytic functions that are q-starlike with respect to m-symmetrical points and subordinate to the q-Janowski function. We investigate inclusion results, sufficient conditions, coefficients estimates, bounds for Fekete–Szego functional |a3−μa22| and convolution properties for the functions belonging to this new class. Several consequences of main results are also obtained
Some General Classes of q-Starlike Functions Associated with the Janowski Functions
No full textBy making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order α in the open unit disk U were introduced and studied from many different viewpoints and perspectives. In this paper, we first investigate the relationship between various known classes of q-starlike functions that are associated with the Janowski functions. We then introduce and study a new subclass of q-starlike functions that involves the Janowski functions. We also derive several properties of such families of q-starlike functions with negative coefficients including (for example) distortion theorems
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