Differential sandwich theorems for p-Valent functions associated with a certain generalized differential operator and integral operator

Feras Yousef, A. A. Amourah, Maslina Darus

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.

Original languageEnglish
Pages (from-to)543-556
Number of pages14
JournalItalian Journal of Pure and Applied Mathematics
Volume36
Publication statusPublished - 2016

Fingerprint

Ordination
P-valent Functions
Subordination
Sandwich
Integral Operator
Unit Disk
Differential operator
Theorem
Form

Keywords

  • Analytic functions
  • Differential subordination
  • Differential superordination
  • Sandwich theorems

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

@article{3b608c5138194dd2aa538f21274fc1c3,
title = "Differential sandwich theorems for p-Valent functions associated with a certain generalized differential operator and integral operator",
abstract = "The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.",
keywords = "Analytic functions, Differential subordination, Differential superordination, Sandwich theorems",
author = "Feras Yousef and Amourah, {A. A.} and Maslina Darus",
year = "2016",
language = "English",
volume = "36",
pages = "543--556",
journal = "Italian Journal of Pure and Applied Mathematics",
issn = "1126-8042",
publisher = "Forum Societa Editrice Universitaria Udinese srl",

}

TY - JOUR

T1 - Differential sandwich theorems for p-Valent functions associated with a certain generalized differential operator and integral operator

AU - Yousef, Feras

AU - Amourah, A. A.

AU - Darus, Maslina

PY - 2016

Y1 - 2016

N2 - The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.

AB - The purpose of this paper is to derive some subordination and super- ordination results for functions of the form f(z) = zp + zP ∞ σk=p+1 akzk which are p¡valent in the open unit disk U = {z ϵ C : [z] < 1} by using certain differential operator An γp(α,β,μ)f(z) and integral operator Fm p (p,v)f(z). Some special cases are also con- sidered.

KW - Analytic functions

KW - Differential subordination

KW - Differential superordination

KW - Sandwich theorems

UR - http://www.scopus.com/inward/record.url?scp=84991109372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991109372&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84991109372

VL - 36

SP - 543

EP - 556

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

SN - 1126-8042

ER -