Results 21 to 30 of about 4,495,877 (113)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we have introduced and studied the subclass ℛ𝒥 (d, α, β) of univalent functions defined by the linear operator RIn,λ,lγf(z)$RI_{n,\lambda ,l}^\gamma f(z)$ defined by using the Ruscheweyh derivative Rnf(z) and multiplier transformation I (n,
Alb Lupaş Alina
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On certain analytic univalent functions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 305-310, 2001., 2001 We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of order α in the open unit disk.
B. A. Frasin, M. Darus
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Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel ...
Vijayalakshmi S.P. +3 more
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Partial sums of certain analytic functions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 771-775, 2001., 2001 The object of the present paper is to consider the starlikeness and convexity of partial sums of certain analytic functions in the open unit disk.
Shigeyoshi Owa
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Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators
, 2010 In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained.
Zhi-Hong Liu, Yong Sun, Wei-Ping Kuang
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Subordination by convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 563-568, 2000., 2000 Let K(α), 0 ≤ α < 1, denote the class of functions g(z)=z+Σn=2∞anzn which are regular and univalently convex of order α in the unit disc U. Pursuing the problem initiated by Robinson in the present paper, among other things, we prove that if f is regular in U, f(0) = 0, and f(z) + zf′(z) < g(z) + zg′(z) in U, then (i) f(z) < g(z) at least in |z|
Ram Singh, Sukhjit Singh
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On Certain Sufficient Conditions For A Function To Be Close-To-Convex Function
, 2015 We consider certain properties of 1- (zg'(z)/f'|(z)) as a sufficient condition for a function f (z) to be a close-to-convex function.Keywords: Univalent function, Convex function, Starlike function, Close-to-convex function.
Monsurat, AG, Abolape, DA, Jimoh, M
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Differential subordinations for fractional‐linear transformations
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 109-117, 2000., 2000 We establish that the differential subordinations of the forms p(z) + γzp′(z)≺h(A1, B1; z) or p(z) + γzp′(z)/p(z)≺h(A2, B2; z) implies p(z)≺h(A, B; z), where γ ≥ 0 and h(A, B; z) = (1 + Az)/(1 + Bz) with −1 ≤ B < A.
Yong Chan Kim +3 more
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Second Hankel determinant for a class of analytic functions defined by q-derivative operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
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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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