Results 21 to 30 of about 82 (79)
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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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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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
wiley +1 more source
On a class of univalent functions
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 855-857, 2000., 2000 We consider the class of univalent functions f(z) = z + a3z3 + a4z4 + ⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z)) − 1 | < 1, and show that such functions are starlike if they satisfy |(z2f′(z)/f2(z))−1|<(1/2).
Vikramaditya Singh
wiley +1 more source
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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Univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 697-701, 2000., 2000 We study some integral operators and determine conditions for the univalence of these integral operators.
Virgil Pescar, Shigeyoshi Owa
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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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Veterinary Dermatology, Volume 36, Issue 5, Page 668-678, October 2025.Background – Erythemato‐ceruminous otitis externa (ECOE) is commonly associated with Malassezia spp. and microbial imbalance. Hypothesis/Objective – To assess the clinical performance of an ear cleaner in dogs suffering from ECOE associated with Malassezia spp. overgrowth and to measure its impact on the microbiota. Conclusions and Clinical Relevance –
Amaury Briand +11 more
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International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 819-825, 2000., 2000 We investigate a family that connects various subclasses of functions convex in the unit disk. We also look at generalized sequences for this family.
Thomas Rosy +3 more
wiley +1 more source
On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Sümer Eker, S. +2 more
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