Application of Chebyshev polynomials to certain class of bi-Bazilevič functions of order α+iβ

Application of Chebyshev polynomials to certain class of bi-Bazilevič functions of order α+iβ

By means of Chebyshev polynomials, a class of Bazilevič functions of order α + i β in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete–Szegö inequalities for functions belonging to this class. Several corollaries and conse...

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Veröffentlicht in:Afrika mathematica 2021-09, Vol.32 (5-6), p.1059-1066
Hauptverfasser: Amourah, Ala, Al-Hawary, Tariq, Frasin, B. A.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Chebyshev approximation
Functions (mathematics)
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Mathematics Education
Polynomials
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Zusammenfassung:By means of Chebyshev polynomials, a class of Bazilevič functions of order α + i β in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete–Szegö inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-021-00881-x