Some properties on a class of harmonic univalent functions defined by differential operator

Entisar El-Yagubi, Maslina Darus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Using a generalized derivative operator, we introduce and study a new class of harmonic univalent functions. In the present paper, we investigate some results for functions f belong to this class which include the necessary and sufficient coefficient bounds. Growth bounds and a closure property are also obtained.

Original languageEnglish
Title of host publication2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium
EditorsZahari Ibrahim, Haja Maideen Kader Maideen, Nazlina Ibrahim, Nurul Huda Abd Karim, Taufik Yusof, Fatimah Abdul Razak, Nurulkamal Maseran, Rozida Mohd Khalid, Noor Baa'yah Ibrahim, Hasidah Mohd. Sidek, Mohd Salmi Md Noorani, Norbert Simon
PublisherAmerican Institute of Physics Inc.
Pages864-870
Number of pages7
ISBN (Electronic)9780735412507
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014 - Selangor, Malaysia
Duration: 9 Apr 201411 Apr 2014

Publication series

NameAIP Conference Proceedings
Volume1614
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014
CountryMalaysia
CitySelangor
Period9/4/1411/4/14

Fingerprint

harmonic functions
differential operators
closures
operators
coefficients

Keywords

  • Convex combinations
  • Derivative operator
  • Distortion inequalities
  • Harmonic univalent functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

El-Yagubi, E., & Darus, M. (2014). Some properties on a class of harmonic univalent functions defined by differential operator. In Z. Ibrahim, H. M. K. Maideen, N. Ibrahim, N. H. A. Karim, T. Yusof, F. A. Razak, N. Maseran, R. M. Khalid, N. B. Ibrahim, H. M. Sidek, M. S. M. Noorani, ... N. Simon (Eds.), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium (pp. 864-870). (AIP Conference Proceedings; Vol. 1614). American Institute of Physics Inc.. https://doi.org/10.1063/1.4895315

Some properties on a class of harmonic univalent functions defined by differential operator. / El-Yagubi, Entisar; Darus, Maslina.

2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. ed. / Zahari Ibrahim; Haja Maideen Kader Maideen; Nazlina Ibrahim; Nurul Huda Abd Karim; Taufik Yusof; Fatimah Abdul Razak; Nurulkamal Maseran; Rozida Mohd Khalid; Noor Baa'yah Ibrahim; Hasidah Mohd. Sidek; Mohd Salmi Md Noorani; Norbert Simon. American Institute of Physics Inc., 2014. p. 864-870 (AIP Conference Proceedings; Vol. 1614).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

El-Yagubi, E & Darus, M 2014, Some properties on a class of harmonic univalent functions defined by differential operator. in Z Ibrahim, HMK Maideen, N Ibrahim, NHA Karim, T Yusof, FA Razak, N Maseran, RM Khalid, NB Ibrahim, HM Sidek, MSM Noorani & N Simon (eds), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. AIP Conference Proceedings, vol. 1614, American Institute of Physics Inc., pp. 864-870, 2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014, Selangor, Malaysia, 9/4/14. https://doi.org/10.1063/1.4895315
El-Yagubi E, Darus M. Some properties on a class of harmonic univalent functions defined by differential operator. In Ibrahim Z, Maideen HMK, Ibrahim N, Karim NHA, Yusof T, Razak FA, Maseran N, Khalid RM, Ibrahim NB, Sidek HM, Noorani MSM, Simon N, editors, 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. American Institute of Physics Inc. 2014. p. 864-870. (AIP Conference Proceedings). https://doi.org/10.1063/1.4895315
El-Yagubi, Entisar ; Darus, Maslina. / Some properties on a class of harmonic univalent functions defined by differential operator. 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. editor / Zahari Ibrahim ; Haja Maideen Kader Maideen ; Nazlina Ibrahim ; Nurul Huda Abd Karim ; Taufik Yusof ; Fatimah Abdul Razak ; Nurulkamal Maseran ; Rozida Mohd Khalid ; Noor Baa'yah Ibrahim ; Hasidah Mohd. Sidek ; Mohd Salmi Md Noorani ; Norbert Simon. American Institute of Physics Inc., 2014. pp. 864-870 (AIP Conference Proceedings).
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