On generalizations of convolution for harmonic functions

K. Al-Shaqsi, Maslina Darus

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Al Shaqsi and Darus [1] introduced and studied generalization of Hadamard product (or convolution) of the classes S* H(α) and CH(α) which are starlike and convex harmonic functions of order α (0 ≤ α < 1), respectively. In the present paper, some properties of these generalizations of Hadamard products of functions in S * H(λ, α) and CH( λ, α) are obtained.

Original languageEnglish
Pages (from-to)387-399
Number of pages13
JournalFar East Journal of Mathematical Sciences
Volume33
Issue number3
Publication statusPublished - Jun 2009

Fingerprint

Harmonic Functions
Convolution
Hadamard Product (or convolution)
Hadamard Product
Convex function
Generalization
Class

Keywords

  • Convolution
  • Harmonic functions
  • Hölder inequality
  • Univalent functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On generalizations of convolution for harmonic functions. / Al-Shaqsi, K.; Darus, Maslina.

In: Far East Journal of Mathematical Sciences, Vol. 33, No. 3, 06.2009, p. 387-399.

Research output: Contribution to journalArticle

@article{34ff1b6504bf46a98df9f73c2a175df8,
title = "On generalizations of convolution for harmonic functions",
abstract = "Al Shaqsi and Darus [1] introduced and studied generalization of Hadamard product (or convolution) of the classes S* H(α) and CH(α) which are starlike and convex harmonic functions of order α (0 ≤ α < 1), respectively. In the present paper, some properties of these generalizations of Hadamard products of functions in S * H(λ, α) and CH( λ, α) are obtained.",
keywords = "Convolution, Harmonic functions, H{\"o}lder inequality, Univalent functions",
author = "K. Al-Shaqsi and Maslina Darus",
year = "2009",
month = "6",
language = "English",
volume = "33",
pages = "387--399",
journal = "Far East Journal of Mathematical Sciences",
issn = "0972-0871",
publisher = "University of Allahabad",
number = "3",

}

TY - JOUR

T1 - On generalizations of convolution for harmonic functions

AU - Al-Shaqsi, K.

AU - Darus, Maslina

PY - 2009/6

Y1 - 2009/6

N2 - Al Shaqsi and Darus [1] introduced and studied generalization of Hadamard product (or convolution) of the classes S* H(α) and CH(α) which are starlike and convex harmonic functions of order α (0 ≤ α < 1), respectively. In the present paper, some properties of these generalizations of Hadamard products of functions in S * H(λ, α) and CH( λ, α) are obtained.

AB - Al Shaqsi and Darus [1] introduced and studied generalization of Hadamard product (or convolution) of the classes S* H(α) and CH(α) which are starlike and convex harmonic functions of order α (0 ≤ α < 1), respectively. In the present paper, some properties of these generalizations of Hadamard products of functions in S * H(λ, α) and CH( λ, α) are obtained.

KW - Convolution

KW - Harmonic functions

KW - Hölder inequality

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=67650925241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67650925241&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:67650925241

VL - 33

SP - 387

EP - 399

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 3

ER -