Majorization for certain classes of meromorphic functions defined by integral operator

Abstract

Abstract. The purpose of this paper is to define transversal Cartan connection of Finsler foliation and to prove its existence and uniqueness.

Majorization for Certain Classes of Meromorphic Functions Defined by Integral Operator

“…In the recent paper of Goyal and Goswami [3] generalized these results for the class of multivalent functions using fractional derivatives operators. Further, Goyal et al [4], Goswami and Wang [5], Goswami and Aouf [6], Goswami et al [7] studied majorization property for different -different classes. In this paper, we will study majorization properties for the class of meromorphic functions using integral operator Q α β .…”

“…An majorization problem for the normalized classes of starlike has been investigated by Altinas et al [1] and MacGregor [10]. In the recent paper of Goyal and Goswami [3] generalized these results for the class of multivalent functions using fractional derivatives operators. Further, Goyal et al [4], Goswami and Wang [5], Goswami and Aouf [6], Goswami et al [7] studied majorization property for different -different classes.…”

Majorization problems for certain subclasses of meromorphic multivalent functions associated with the Liu-Srivastava operator

“…A majorization problem for the normalized class of starlike functions has been investigated by MacGregor [22] and Altintas et al [1,2]. Recently, Goyal et al [13,14], Goswami et al [10][11][12], Li et al [16], Tang et al [29,30], and Prajapat and Aouf [26] generalized these results for different analytic function classes defined by using various operators. However, until now, only one article deals with the majorization problem for the class of meromorphic functions (see Goyal and Goswami [15]).…”

Majorization problems for certain classes of multivalent analytic functions related with the Srivastava-Khairnar-More operator and exponential function

“…1+Bz (−1 ≤ B < A ≤ 1), involving various different operators, for instance, see [5,8,16,27,28]. More recently, Goyal and Goswami [6], Tang et al [25], and Panigrahi and El-Ashwah [15] have considered majorization problems for meromorphic and multivalent meromorphic functions. Nevertheless, only a few articles deal with the above-mentioned problems associated with exponential function (see [26]).…”