Results 21 to 30 of about 58 (58)
Some Distortion Theorems for Starlike Harmonic Functions [PDF]
, 2010 MSC 2010: 30C55, 30C45Distortion and growth theorems are ...
Yavuz Duman, Emel
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Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani +3 more
wiley +1 more source
Subclasses of close‐to‐convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 449-458, 1983., 1983 Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D] such that f′/g′ is ...
E. M. Silvia
wiley +1 more source
Analytic solutions of a generalized complex multi-dimensional system with fractional order
Demonstratio MathematicaThe Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the kk-symbol fractional calculus.
Baleanu Dumitru, Ibrahim Rabha W.
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Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota +3 more
wiley +1 more source
Demonstratio MathematicaIn this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
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Demonstratio MathematicaA TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
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Meromorphic functions with small Schwarzian derivative
, 2018 We consider the family of all meromorphic functions f of the form f (z) = 1 + b + b z + b z2 + · · · z 0 1 2 analytic and locally univalent in the puncture disk D0 := {z ∈ C : 0 < |z| < 1}.
SAHOO, Swadesh Kumar, ARORA, Vibhuti
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The present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in ...
SANGARAMBADI PADMANABHAN, Vijayalakshmi +2 more
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Some classes involving a convolution of analytic functions with some univalency conditions
In this paper, involving a convolution f ∗ g, two classes of normalized analytic functions f are defined. Showing an inclusion relation between these classes, various sufficient conditions for functions to be in these classes are established.
MISHRA, Omendra +3 more
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