Results 31 to 40 of about 106 (104)
, 2017 The objective of this paper is to obtain an upper bound to the third Hankel determinant denoted by |H3(1)| for certain subclass of univalent functions, using Toeplitz determinants.
RANI, Nekkanti, VENKATESWARLU, Bolineni
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Coefficient estimates for a subclass of meromorphic bi-univalent functions defined by subordination
, 2020 In this work, we use the Faber polynomial expansion by a new method to find upper bounds for |bn| coefficients for meromorphic bi-univalent functions class Σ/ which is defined by subordination.
BULUT , Serap +4 more
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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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Subclasses of analytic functions of complex order defined by q-derivative operator
, 2019 Using the q-derivative operator in conjunction with the principle of subordination between analytic functions, we introduce two subclasses of analytic functions in the open unit disk U.
SRIVASTAVA, Rekha, ZAYED, Hanaa M.
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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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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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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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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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A new criterion for close‐to‐convexity of partial sums of certain hypergeometric functions
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 197-202, 1997., 1997 We consider the partial sums of certain hypergeometric functions and establish conditions imposed on the locations of zeros of those polynomials in order to be close‐to‐convex in the open unit disk.
Massoud Jahangiri
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Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
Journal of Mathematics, Volume 2026, Issue 1, 2026.For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima +4 more
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