Sufficiency Criterion for A Subfamily of Meromorphic Multivalent Functions of Reciprocal Order with Respect to Symmetric Points

Abstract

In the present research paper, our aim is to introduce a new subfamily of meromorphic p-valent (multivalent) functions. Moreover, we investigate sufficiency criterion for such defined family.

Estimation of the Bounds of Some Classes of Harmonic Functions with Symmetric Conjugate Points

“…Integrating the two sides of the inequality from 0 to r, we can obtain (13). Therefore, we complete the proof of Lemma 1.…”

“…In particular, the disk is large when 0 < α < 1 2 . Therefore, the study of the class of reciprocal starlike functions has aroused the research interest of most scholars [8][9][10][11][12][13][14][15]. In 2012, Sun et al [8] extended the reciprocal starlike function to the class of meromorphic univalent function.…”

A certain class of analytic functions of complex order connected with a q-analogue of integral operators

“…Further investigations on the applications of the q-calculus to meromorphic univalent and meromorphic multivalent functions along the lines of a recent work [15] may be worthy of consideration.…”

On Some Classes of Harmonic Functions Associated with the Janowski Function

“…In particular, the disk is large when 0 < α < 1 2 . Therefore, the study of the class of reciprocal starlike functions has aroused the research interest of most scholars [8][9][10][11][12][13]. In 2012, Sun et al [8] extended the reciprocal starlike function to the class of the meromorphic univalent function.…”