Results 31 to 40 of about 118 (108)
Meromorphic functions with positive coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 6, Page 319-324, 2004., 2004 Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
Maslina Darus
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, 2023 Making use of a modified Hadamard product or convolution of harmonic functions with varying arguments, combined with an integral operator, we study when these functions belong to a given class. Following an idea of U. Bednarz and J.
SĂLĂGEAN, Grigore Ștefan +1 more
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Classes of uniformly starlike and convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2959-2961, 2004., 2004 Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated.
Saeid Shams +2 more
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An application of a subordination chain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1751-1754, 2003., 2003 Let K denote the class of functions g(z) = z + a2z2 + ⋯ which are regular and univalently convex in the unit disc E. In the present note, we prove that if f is regular in E, f(0) = 0, then for g ∈ K, f(z) + αzf′(z) ≺ g(z) + αzg′(z) in E implies that f(z)≺g(z) in E, where α > 0 is a real number and the symbol “≺” stands for subordination.
Sukhjit Singh, Sushma Gupta
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Subordination criteria for starlikeness and convexity
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2053-2059, 2003., 2003 For functions p analytic in the open unit disc U = {z : |z| < 1} with the normalization p(0) = 1, we consider the families 𝒫[A, −1], −1 < A ≤ 1, consisting of p such that p(z) is subordinate to (1 + Az)/(1 − z) in U and 𝒫(1, b), b > 0, consisting of p, which have the disc formulation |p − 1| < b in U.
Rasoul Aghalary, Jay M. Jahangiri
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Pascu-type p-valent functions associated with the convolution structure [PDF]
, 2015 Making use of convolution structure, we introduce a new class of pvalent functions. Among the results presented in this paper include the coecient bounds, distortion inequalities, extreme points and integral means inequalities for this generalized class ...
SÜMER EKER, Sevtap, ÖNER, Birgül
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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
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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 459-465, 2002., 2002 We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil +7 more
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A subordination theorem for spirallike functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 433-435, 2000., 2000 We prove a subordination relation for a subclass of the class of λ‐spirallike functions.
Sukhjit Singh
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