Displaying 1221 – 1240 of 2728

Showing per page

On certain multivalent functions.

Nunokawa, Mamoru, Owa, Shigeyoshi, Sekine, Tadayuki, Yamakawa, Rikuo, Saitoh, Hitoshi, Nishiwaki, Junichi (2007)

International Journal of Mathematics and Mathematical Sciences

On certain subclasses of analytic functions associated with the Carlson–Shaffer operator

Jagannath Patel, Ashok Kumar Sahoo (2015)

Annales UMCS, Mathematica

The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(a,c, A, B) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.

On certain subclasses of analytic functions involving a linear operator

J. Patel, G. P. Mohapatra (2002)

Annales Polonici Mathematici

A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.

On certain subclasses of bounded univalent functions

J. Fuka, Z. J. Jakubowski (1991)

Annales Polonici Mathematici

Let = z ∈ ℂ; |z| < 1, T = z ∈ ℂ; |z|=1. Denote by S the class of functions f of the form f(z) = z + a₂z² + ... holomorphic and univalent in , and by S(M), M > 1, the subclass of functions f of the family S such that |f(z)| < M in . We introduce (and investigate the basic properties of) the class S(M,m;α), 0 < m ≤ M < ∞, 0 ≤ α ≤ 1, of bounded functions f of the family S for which there exists an open a r c I α = I α ( f ) T of length 2πα such that l i m ¯ z z , z | f ( z ) | M for every z I α and l i m ¯ z z , z | f ( z ) | m for every z T Ī α .

Currently displaying 1221 – 1240 of 2728