๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Argument estimates of certain analytic functions defined by a class of multiplier transformations

โœ Scribed by N.E. Cho; H.M. Srivastava


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
446 KB
Volume
37
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis


The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations. Relevant connections of the results, which are presented in this paper, with various known results are also considered. (~) 2003 Elsevier Science Ltd. All rights reserved.


๐Ÿ“œ SIMILAR VOLUMES


Inclusion properties of certain subclass
โœ Nak Eun Cho; Ji A. Kim ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 333 KB

A denote the class of analytic functions with the normalization f(0) = f' (0)-1 = 0 in the open unit disk L/, set s:,(~) = ~ + ~ ~,~--~) z k (s ~ ~; ~ > -:;. ~ u), and define f~:~,, in terms of the Hadamard product z z = (t~ > 0; z E hi). ## A( ) \* fL.(z) "(1 -z)~ In this paper, the authors intro

Majorization for certain classes of anal
โœ Pranay Goswami; Bhavna Sharma; Teodor Bulboacฤƒ ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 271 KB

In the present paper we investigate the majorization properties for certain classes of multivalent analytic functions defined by multiplier transformation. Moreover, we point out some new or known consequences of our main result.

Majorization for certain classes of anal
โœ S.P. Goyal; Pranay Goswami ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

Here we investigate a majorization problem involving starlike function of complex order belonging to a certain class defined by means of fractional derivatives. Relevant connections of the main results obtained in this paper with those given by earlier workers on the subject are also pointed out.

Properties of certain analytic multivale
โœ Neng Xu; M.K. Aouf ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 623 KB

Let A(p, k)(p, k โˆˆ N = {1, 2, 3, . . .}) be the class of functions f (z) = z p + a p+k z p+k + โ€ข โ€ข โ€ข which are analytic in the unit disk E = {z : |z| < 1}. By using a linear operator L p,k (a, c), we introduce a new subclass T p,k (a, c, ฮด; h) of A(p, k) and derive some interesting properties for th