Second Hankel determinant for the class of analytic functions defined by new differential operator

Abdussalam Eghbiq, Maslina Darus

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

Abstract

In this paper, we introduce a generalised derivative operator Dm(λ,ν,ς,ω,α)f(z): A→A as follow: Dm(λ,ν,ς,ω,α)f(z)=z+∑k=2∞(ν+(k-1)(ς+λ)ωαν)mαkzk. New subclass m(λ,ν,ς,ω,α,θ) defined by the generalised derivative operator Dm(λ,ν,ς,ω,α) is obtained. Sharp bounds for the nonlinear functional | a2a4-A32 | are found.

Original languageEnglish
Title of host publication2017 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1940
ISBN (Electronic)9780735416321
DOIs
Publication statusPublished - 4 Apr 2018
Event2017 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 12 Jul 201713 Jul 2017

Other

Other2017 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period12/7/1713/7/17

Fingerprint

analytic functions
differential operators
determinants
operators

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Eghbiq, A., & Darus, M. (2018). Second Hankel determinant for the class of analytic functions defined by new differential operator. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium (Vol. 1940). [020109] American Institute of Physics Inc.. https://doi.org/10.1063/1.5028024

Second Hankel determinant for the class of analytic functions defined by new differential operator. / Eghbiq, Abdussalam; Darus, Maslina.

2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018. 020109.

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

Eghbiq, A & Darus, M 2018, Second Hankel determinant for the class of analytic functions defined by new differential operator. in 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. vol. 1940, 020109, American Institute of Physics Inc., 2017 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 12/7/17. https://doi.org/10.1063/1.5028024
Eghbiq A, Darus M. Second Hankel determinant for the class of analytic functions defined by new differential operator. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940. American Institute of Physics Inc. 2018. 020109 https://doi.org/10.1063/1.5028024
Eghbiq, Abdussalam ; Darus, Maslina. / Second Hankel determinant for the class of analytic functions defined by new differential operator. 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018.
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