Second Hankel Determinant for Certain Subclasses of Bi-univalent functions

In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc U by using Chebyshev polynomials.

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Published inJournal of physics. Conference series Vol. 1664; no. 1; pp. 12044 - 12051
Main Authors AL-Ameedee, Sarah A, Atshan, Waggas Galib, AL-Maamori, Faez Ali
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2020
Subjects
Bi-univalent functions
Chebyshev approximation
Coefficient bounds
Mathematical analysis
Physics
Polynomials
Subordination
Upper bounds
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Abstract In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc U by using Chebyshev polynomials.
AbstractList Abstract In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc U by using Chebyshev polynomials.
In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc U by using Chebyshev polynomials.
Author AL-Ameedee, Sarah A
Atshan, Waggas Galib
AL-Maamori, Faez Ali
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  givenname: Waggas Galib
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  givenname: Faez Ali
  surname: AL-Maamori
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Cites_doi 10.3906/mat-1706-83
10.1080/00207169408804263
10.1016/j.aml.2010.05.009
10.1016/j.amc.2012.05.034
10.1090/S0002-9939-1969-0232926-9
10.1090/S0002-9904-1963-10923-4
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Copyright Published under licence by IOP Publishing Ltd
2020. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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Doha (JPCS_1664_1_012044bib11) 1994; 51.1-2
Cantor (JPCS_1664_1_012044bib7) 1963; 69
Orhan (JPCS_1664_1_012044bib9) 2018; 42.4
Grenander (JPCS_1664_1_012044bib2) 1958
Noonan (JPCS_1664_1_012044bib3); 223
Mustafa (JPCS_1664_1_012044bib10) 2017
Keogh (JPCS_1664_1_012044bib4) 1969; 20.1
Duren (JPCS_1664_1_012044bib1) 1983
Laxmi (JPCS_1664_1_012044bib8) 2018; 1000
Xu (JPCS_1664_1_012044bib12) 2012; 218.23
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Snippet In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc U by...
Abstract In this paper, we have investigated the upper bound for the second hankel determinant for some subclasses of bi-univalent functions in open unit disc...
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StartPage 12044
SubjectTerms Bi-univalent functions
Chebyshev approximation
Coefficient bounds
Mathematical analysis
Physics
Polynomials
Subordination
Upper bounds
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Title Second Hankel Determinant for Certain Subclasses of Bi-univalent functions
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