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### A class of analytic functions defined by Ruscheweyh derivative

Annales Polonici Mathematici

The function $f\left(z\right)={z}^{p}+{\sum }_{k=1}^{\infty }{a}_{p+k}{z}^{p+k}$ (p ∈ ℕ = 1,2,3,...) analytic in the unit disk E is said to be in the class ${K}_{n,p}\left(h\right)$ if (${D}^{n+p}f\right)/\left({D}^{n+p-1}f\right)\prec h$, where ${D}^{n+p-1}f=\left({z}^{p}\right)/\left({\left(1-z\right)}^{p+n}\right)*f$ and h is convex univalent in E with h(0) = 1. We study the class ${K}_{n,p}\left(h\right)$ and investigate whether the inclusion relation ${K}_{n+1,p}\left(h\right)\subseteq {K}_{n,p}\left(h\right)$ holds for p > 1. Some coefficient estimates for the class are also obtained. The class ${A}_{n,p}\left(a,h\right)$ of functions satisfying the condition $a*\left({D}^{n+p}f\right)/\left({D}^{n+p-1}f\right)+\left(1-a\right)*\left({D}^{n+p+1}f\right)/\left({D}^{n+p}f\right)\prec h$ is also studied.

### A class of holomorphic functions defined by integral operator.

Acta Universitatis Apulensis. Mathematics - Informatics

### A class of nonlinear integral operators preserving double subordinations.

Abstract and Applied Analysis

### A family of integral operators preserving subordination and superordination.

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

### A Generalization of Schwarz Lemma.

Mathematische Annalen

### A Geometric Condition for Bounded Mean Oscillation.

Mathematische Zeitschrift

### A maximum principle for the Bergman space.

Publicacions Matemàtiques

Let f(z) and g(z) be holomorphic in the open unit disk D and let Zf and Zg be their zero sets. If Zf ⊃ Zg and |f(z)| ≥ |g(z)| (1/2 e-2 &lt; |z| &lt; 1), then || f || ≥ || g || where || · || is the Bergman norm: || f ||2 = π-1 ∫D |f(z)|2 dm (dm is the Lebesgue area measure).

### A new class of meromorphic functions related to Cho-Kwon-Srivastava operator

Matematički Vesnik

### A new differential inequality.

Acta Universitatis Apulensis. Mathematics - Informatics

### A new inequality for a polynomial.

International Journal of Mathematics and Mathematical Sciences

### A new proof of a theorem of Saxer

Annales Polonici Mathematici

### A note on differential superordination using Sălăgean and Ruscheweyh operators.

Acta Universitatis Apulensis. Mathematics - Informatics

### A note on subordination.

International Journal of Mathematics and Mathematical Sciences

### A property of the class of functions whose derivative has a positive real part.

Publications de l'Institut Mathématique. Nouvelle Série

### A remark on the Hadamard products of $n$-starlike functions.

General Mathematics

### A Schwarz Lemma for harmonic and hyperbolic-harmonic functions in higher dimensions.

Manuscripta mathematica

### A Schwarz lemma on complex ellipsoids

Annales Polonici Mathematici

We give a Schwarz lemma on complex ellipsoids.

### A Strict Maximum Modulus Theorem for Certain Banach Spaces.

Monatshefte für Mathematik

### A subordination theorem for spirallike functions.

International Journal of Mathematics and Mathematical Sciences

### A sufficient condition for starlikeness of analytic functions of Koebe type.

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

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