Sufficient conditions for subordination of meromorphic functions

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Problem statement: The problem of giving sufficient condition for certain class of meromorphic functions defined as differential operator was studied. Approach: The differential operator of meromorphic functions containing fractional power was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the differential operator aforementioned. Results: Having new operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various researchers. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, by having new operators, new criteria and new set of subordination theorems could be obtained with some earlier results and standard methods.

Original languageEnglish
Pages (from-to)141-145
Number of pages5
JournalJournal of Mathematics and Statistics
Volume5
Issue number3
DOIs
Publication statusPublished - 2009

Fingerprint

Subordination
Meromorphic Function
Sufficient Conditions
Differential operator
Operator
Theorem
Fractional Powers
Fractional Calculus

Keywords

  • Fractional calculus
  • Meromorphic function
  • Subordination

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Sufficient conditions for subordination of meromorphic functions. / Ibrahim, Rabha W.; Darus, Maslina.

In: Journal of Mathematics and Statistics, Vol. 5, No. 3, 2009, p. 141-145.

Research output: Contribution to journalArticle

@article{2e4068b738924ca58e138919b24a1ae4,
title = "Sufficient conditions for subordination of meromorphic functions",
abstract = "Problem statement: The problem of giving sufficient condition for certain class of meromorphic functions defined as differential operator was studied. Approach: The differential operator of meromorphic functions containing fractional power was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the differential operator aforementioned. Results: Having new operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various researchers. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, by having new operators, new criteria and new set of subordination theorems could be obtained with some earlier results and standard methods.",
keywords = "Fractional calculus, Meromorphic function, Subordination",
author = "Ibrahim, {Rabha W.} and Maslina Darus",
year = "2009",
doi = "10.3844/jmssp.2009.141.145",
language = "English",
volume = "5",
pages = "141--145",
journal = "Journal of Mathematics and Statistics",
issn = "1549-3644",
publisher = "Science Publications",
number = "3",

}

TY - JOUR

T1 - Sufficient conditions for subordination of meromorphic functions

AU - Ibrahim, Rabha W.

AU - Darus, Maslina

PY - 2009

Y1 - 2009

N2 - Problem statement: The problem of giving sufficient condition for certain class of meromorphic functions defined as differential operator was studied. Approach: The differential operator of meromorphic functions containing fractional power was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the differential operator aforementioned. Results: Having new operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various researchers. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, by having new operators, new criteria and new set of subordination theorems could be obtained with some earlier results and standard methods.

AB - Problem statement: The problem of giving sufficient condition for certain class of meromorphic functions defined as differential operator was studied. Approach: The differential operator of meromorphic functions containing fractional power was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the differential operator aforementioned. Results: Having new operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various researchers. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, by having new operators, new criteria and new set of subordination theorems could be obtained with some earlier results and standard methods.

KW - Fractional calculus

KW - Meromorphic function

KW - Subordination

UR - http://www.scopus.com/inward/record.url?scp=69549113129&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69549113129&partnerID=8YFLogxK

U2 - 10.3844/jmssp.2009.141.145

DO - 10.3844/jmssp.2009.141.145

M3 - Article

AN - SCOPUS:69549113129

VL - 5

SP - 141

EP - 145

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

SN - 1549-3644

IS - 3

ER -