Operator defined by convolution with zeta functions

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We define operators on the class A of analytic functions in the unit disc involving generalized zeta function (Hurwitz-Lerch zeta function) and introduce certain new subclasses of A using these operators. Some interesting properties of these classes are studied.

Original languageEnglish
Pages (from-to)93-105
Number of pages13
JournalFar East Journal of Mathematical Sciences
Volume40
Issue number1
Publication statusPublished - May 2010

Fingerprint

Riemann zeta function
Convolution
Hurwitz-Lerch Zeta Function
Operator
Generalized Functions
Unit Disk
Analytic function
Class

Keywords

  • Analytic function
  • Hurwitz-Lerch zeta function
  • Hypergeometric functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Operator defined by convolution with zeta functions. / Ibrahim, Rabha W.; Darus, Maslina.

In: Far East Journal of Mathematical Sciences, Vol. 40, No. 1, 05.2010, p. 93-105.

Research output: Contribution to journalArticle

@article{a3f7f469228a430dbc61af2b3d021b96,
title = "Operator defined by convolution with zeta functions",
abstract = "We define operators on the class A of analytic functions in the unit disc involving generalized zeta function (Hurwitz-Lerch zeta function) and introduce certain new subclasses of A using these operators. Some interesting properties of these classes are studied.",
keywords = "Analytic function, Hurwitz-Lerch zeta function, Hypergeometric functions",
author = "Ibrahim, {Rabha W.} and Maslina Darus",
year = "2010",
month = "5",
language = "English",
volume = "40",
pages = "93--105",
journal = "Far East Journal of Mathematical Sciences",
issn = "0972-0871",
publisher = "University of Allahabad",
number = "1",

}

TY - JOUR

T1 - Operator defined by convolution with zeta functions

AU - Ibrahim, Rabha W.

AU - Darus, Maslina

PY - 2010/5

Y1 - 2010/5

N2 - We define operators on the class A of analytic functions in the unit disc involving generalized zeta function (Hurwitz-Lerch zeta function) and introduce certain new subclasses of A using these operators. Some interesting properties of these classes are studied.

AB - We define operators on the class A of analytic functions in the unit disc involving generalized zeta function (Hurwitz-Lerch zeta function) and introduce certain new subclasses of A using these operators. Some interesting properties of these classes are studied.

KW - Analytic function

KW - Hurwitz-Lerch zeta function

KW - Hypergeometric functions

UR - http://www.scopus.com/inward/record.url?scp=77952385305&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952385305&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77952385305

VL - 40

SP - 93

EP - 105

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 1

ER -