Results 31 to 40 of about 69 (69)
On a subclass of strongly starlike functions
Applied Mathematics Letters, 2011 AbstractLet S∗(qc), c∈(0,1], denote the class of analytic functions f in the unit disc U normalized by f(0)=f′(0)−1=0 and satisfying the condition |[zf′(z)/f(z)]2−1|∣
Janusz Sokół, M. K. Aouf, Jacek Dziok
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On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we employ a q‐Noor integral operator to perform a q‐analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q‐fractional integral operator and apply the inspired ...
Mojtaba Fardi +3 more
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Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
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New Integral Operator for Analytic Functions
Journal of Function Spaces, Volume 2024, Issue 1, 2024.Let Ap(n) be the class of functions f(z) given by f(z) = zp + ap+nzp+n + ap+n+1zp+n+1 + ⋯ which are analytic in the open unit disk U. For f(z) ∈ Ap(n), new integral operators O−jfz and Ojfz(j = 0, 1, 2, ⋯.) are considered. The operators O−jfz and Ojfz satisfy OjO−jfz=O−jOjfz=fz and O−j∗Ojfz=Oj∗O−jfz=f∗fz for the convolution ∗ of O−jfz and Ojfz.
H. Özlem Güney +3 more
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Applications of Subordination for Holomorphic Functions Stated by Generalized By‐Product Operator
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by‐product operator and geometric properties such as coefficient inequalities are investigated.
Mustafa I. Hameed +6 more
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Integral operator and starlike functions
Computers & Mathematics with Applications, 2002 AbstractWe define a class of univalent starlike functions and consider the following integral operator: It is well known that, if ƒ is starlike, then F is also starlike. We extend this result for a more general class.
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Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
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A variational method for starlike functions [PDF]
Proceedings of the American Mathematical Society, 1958 1. One of the most important developments in the study of schlicht functions was the discovery of variational methods. The early work of Marty and the investigations of Schiffer along with those of Schaeffer and Spencer led to the development of powerful machinery for the attack of extremal problems in the class of schlicht functions.
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Boundary Behavior of Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1972 For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping w = z f ′ ( z ) / f ( z ) w = zf’(z)/f(z) to insure that f be one-to-one on the closed unit disc ...
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q-STARLIKE FUNCTIONS OF ORDER ALPHA
TWMS Journal of Applied and Engineering Mathematics, 2018 For all q ∈ (0; 1) and 0 ≤ ∝ < 1 we define a class of analytic functions, so-called q -starlike functions of order ∝ on the open unit disc 𝔻 = { 𝓏 : | 𝓏| < 1 }. We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order ∝.
Polatoğlu, Yaşar +2 more
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