Differential subordination associated with generalised derivative operator

Mamoun Harayzeh Al-Abbadi, Maslina Darus

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

Abstract

The authors have recently introduced a new generalised derivatives operator μλ1,λ2 n,m, which generalised many well-known operators studied earlier by many different authors. The trend of finding new operators such as the differential or the integral operators has attracted many researchers and in fact, has become necessary to some of the researchers. The aim of this paper is to use the equality relation (1+n)μλ1,λ2 n+1,mf(z) = z(μμλ1,λ2 n,mf(z)))′ + n(μμλ1,λ2 n,m f(z)), to discuss some interesting results using the technique of differential subordination. The results include the subordination and the inclusion. Whenever n = 0, λ2 = 0 we have results given by Oros [10].

Original languageEnglish
Title of host publication2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings
Pages580-592
Number of pages13
DOIs
Publication statusPublished - 2009
Event2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Coimbatore
Duration: 9 Dec 200911 Dec 2009

Other

Other2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009
CityCoimbatore
Period9/12/0911/12/09

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Derivatives

Keywords

  • Analytic function
  • Best dominant
  • Convex function
  • Derivative operator
  • Differential subordination
  • Dominant
  • Hadamard product (or convolution)
  • Univalent function

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Software

Cite this

Al-Abbadi, M. H., & Darus, M. (2009). Differential subordination associated with generalised derivative operator. In 2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings (pp. 580-592). [5393410] https://doi.org/10.1109/NABIC.2009.5393410

Differential subordination associated with generalised derivative operator. / Al-Abbadi, Mamoun Harayzeh; Darus, Maslina.

2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings. 2009. p. 580-592 5393410.

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

Al-Abbadi, MH & Darus, M 2009, Differential subordination associated with generalised derivative operator. in 2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings., 5393410, pp. 580-592, 2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009, Coimbatore, 9/12/09. https://doi.org/10.1109/NABIC.2009.5393410
Al-Abbadi MH, Darus M. Differential subordination associated with generalised derivative operator. In 2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings. 2009. p. 580-592. 5393410 https://doi.org/10.1109/NABIC.2009.5393410
Al-Abbadi, Mamoun Harayzeh ; Darus, Maslina. / Differential subordination associated with generalised derivative operator. 2009 World Congress on Nature and Biologically Inspired Computing, NABIC 2009 - Proceedings. 2009. pp. 580-592
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