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Using the operator $𝔇_{q, ϱ}^{m} (λ, l)$ , we introduce the subclasses $𝔜_{q, ϱ}^{* m} (l, λ, γ)$ and $𝔎_{q, ϱ}^{* m} (l, λ, γ)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.

Some applications of the Briot-Bouquet differential subordination.

Srivastava, H.M., Lashin, A.Y. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some applications of the generalized Bernardi-Libera-Livingston integral operator on univalent functions.

Gordji, M.Eshaghi, Alimohammadi, D., Ebadian, A. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some applications of the theorem on rational approximation in the mean

M. Skwarczyński (1976)

Annales Polonici Mathematici

Some Bazilevič functions of order beta.

Halim, S.A. (1991)

International Journal of Mathematics and Mathematical Sciences

Some characterizations of harmonic Bloch and Besov spaces

Xi Fu, Bowen Lu (2016)

Czechoslovak Mathematical Journal

The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic $ω$ - $α$ -Bloch space and characterize it in terms of $ω ((1 - {| x |}^{2})^{β} {(1 - | y |}^{2})^{α - β}) | \frac{f (x) - f (y)}{x - y} |$ and $ω ((1 - {| x |}^{2})^{β} {(1 - | y |}^{2})^{α - β}) | \frac{f (x) - f (y)}{| x | y - x^{'}} |$ where $ω$ is a majorant. Similar results are extended to harmonic little $ω$ - $α$ -Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G. Ren, U. Kähler (2005).

MSC 2010: 30C55, 30C45Distortion and growth theorems are obtained.

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Some applications of a first order differential subordination.

Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure.

Some applications of generalized condensers in the theory of analytic functions.

Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients. I.

Some applications of Srivastava-Attiya operator to $p$ -valent starlike functions.

Some applications of subordination theorems associated with fractional $q$ -calculus operator

Some applications of the Briot-Bouquet differential subordination.

Some applications of the generalized Bernardi-Libera-Livingston integral operator on univalent functions.

Some applications of the theorem on rational approximation in the mean

Some Bazilevič functions of order beta.

Some characterizations of harmonic Bloch and Besov spaces

Some Characterizations of L-regular Points.

Some classes of alpha-quasi-convex functions.

Some continuum phenomena and quasiconformal mappings

Some Convexity and Convolution Theorems for Analytic Functions.

Some convexity properties for a general integral operator.

Some criteria for univalence of certain integral operators.

Some differential operators connected with quasiconformal deformations on manifold

Some distortion inequalities associated with the fractional derivatives of analytic and univalent functions.

Some Distortion Theorems for Starlike Harmonic Functions

Currently displaying 61 – 80 of 294