Sains Malaysiana 50(12)(2021): 3745-3751

http://doi.org/10.17576/jsm-2021-5012-23

Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

 (Penentu Toeplitz untuk Subkelas Fungsi Bak Bintang Miring terhadap Titik-titik Konjugat)

NUR HAZWANI AQILAH ABDUL WAHID¹ & DAUD MOHAMAD¹*

¹Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor Darul Ehsan, Malaysia

Received: 29 January 2021/Accepted: 24 March 2021

ABSTRACT

Let  denote the class of analytic and univalent functions in an open unit disk   of the form  and satisfy where and  This paper presents the coefficient bounds for functions in  using symmetric Toeplitz determinants  and  The results obtained generalize the results for some existing subclasses in the literature.

Keywords: Coefficient bounds; starlike functions with respect to conjugate points; Toeplitz determinant

ABSTRAK

Andaikan  sebagai kelas fungsi analisaan dan univalen dalam cakera unit terbuka dalam bentuk dan memenuhi syarat dengan dan  Makalah ini membentangkan batas-batas pekali bagi fungsi dalam  menggunakan penentu-penentu Toeplitz  dan  Keputusan yang diperoleh mengitlak keputusan beberapa subkelas dalam kajian lepas.

Kata kunci: Batas-batas pekali; fungsi bak bintang terhadap titik-titik konjugat; penentu Toeplitz

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*Corresponding author; email: daud@tmsk.uitm.edu.my