Order of certain classes of analytic and univalent functions using Ruscheweyh derivative.

Frasin, B.A.; Oros, Gheorghe

The search session has expired. Please query the service again.

Displaying similar documents to “Order of certain classes of analytic and univalent functions using Ruscheweyh derivative.”

Coefficient Estimates for Analytic Functions Concerned with Hankel Determinant

Hayami, Toshio, Owa, Shigeyoshi (2010)

Fractional Calculus and Applied Analysis

Similarity:

MSC 2010: 30C45 Applications to starlike functions.

On univalence criteria.

Blezu, Dorin (2006)

General Mathematics

Similarity:

On certain subclass of close-to-convex functions.

Wang, Zhigang, Gao, Chunyi, Yuan, Shaomou (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

A study on the generalization of Janowski functions in the unit disc.

Polatoglu, Y., Bolcal, M., Sen, A., Yavuz, E. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

On the univalence of some integral operators.

Pescar, Virgil (2006)

General Mathematics

Similarity:

Note on Radius Problems for Certain Class of Analytic Functions

Uyanik, Neslihan, Owa, Shigeyoshi (2010)

Fractional Calculus and Applied Analysis

Similarity:

MSC 2010: 30C45 The object of the present paper is to discuss some radius properties.

Integral means of certain analytic functions.

Sekine, Tadayuki, Owa, Shigeyoshi, Yamakawa, Rikuo (2005)

General Mathematics

Similarity:

Certain subclasses of uniformly starlike and convex functions defined by convolution.

Aouf, M.K., El-Ashwah, R.M., El-Deeb, S.M. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

A class of analytic functions defined by Ruscheweyh derivative

K. S. Padmanabhan, M. Jayamala (1991)

Annales Polonici Mathematici

Similarity:

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

Starlikeness of functions satisfying a differential inequality

Rosihan M. Ali, S. Ponnusamy, Vikramaditya Singh (1995)

Annales Polonici Mathematici

Similarity:

In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| < 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.

The Fekete-Szegő theorem for close-to-convex functions of the class $K_{s h} (α, β)$ .

Darus, Maslina (2002)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

Fekete-Szegö Inequality for Universally Prestarlike Functions

Shanmugam, T., Lourthu Mary, J. (2010)

Fractional Calculus and Applied Analysis

Similarity:

MSC 2010: 30C45 The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.