Results 31 to 40 of about 63 (62)
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
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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
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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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Harmonic Close-to-Convex Mappings Associated with Salagean q-differential Operator [PDF]
In this paper, we define a new subclass W(n; _; q) of analytic functions and a new subclass W0H (n; _; q) of harmonic functions f = h+g 2 H0 associated with Sălăgean q-differential operator. We prove that a harmonic function f = h+_g belongs to the class
SOKÓŁ, Janusz +3 more
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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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Notes on starlike log-harmonic functions of order α
, 2013 For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some
Aydoğan, Seher Melike +2 more
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Gegenbauer Polynomial Convolution for Bi-Univalent Functions with Applications to Image Enhancement
In this paper, we define a new subclass of bi-univalent functions by using convolution and Gegenbauer polynomials. We obtain the initial coefficient bounds and the Fekete-Szegö inequalities for functions belonging to this subclass.
V. SIVASANKARI +2 more
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In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
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, 2002 We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curva-ture and spherical torsion of the curves on S2 which result after stereographically ...
Stephen M. Zemyan
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