Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions

• Autorzy: Zireh Ahmad , Hajiparvaneh Saideh , Bulut Serap

Identyfikatory

DOI

10.1515/jaa-2023-0052

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions which both f(z) and f⁻¹(z) are m-fold symmetric on the open unit disk. Furthermore, we find upper bounds for the initial coefficients |a_m+1| and |a_2m+1| for functions in this subclass. The results presented in this paper generalize and improve some recent works.

Słowa kluczowe

EN

analytic functions; bi-univalent functions; coefficient estimates; m-fold symmetric bi-univalent functions

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 187--195
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Zireh Ahmad

• Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

• https://orcid.org/0000-0002-3405-853X

autor

Hajiparvaneh Saideh

• Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

autor

Bulut Serap

• Faculty of Aviation and Space Sciences, Kocaeli University, Arslanbey Campus, 41285 Kartepe-Kocaeli, Turkey

• https://orcid.org/0000-0002-6506-4588

Bibliografia

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• [2] D. A. Brannan and T. S. Taha, On some classes of bi-univalent functions, Studia Univ. Babeş-Bolyai Math. 31 (1986), no. 2, 70-77.
• [3] S. Bulut, Coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions, Turkish J. Math. 40 (2016), no. 6, 1386-1397.
• [4] M. Çağlar, H. Orhan and N. Yağmur, Coefficient bounds for new subclasses of bi-univalent functions, Filomat 27 (2013), no. 7, 1165-1171.
• [5] L.-I. Cotîrlă, New classes of analytic and bi-univalent functions, AIMS Math. 6 (2021), no. 10, 10642-10651.
• [6] P. L. Duren, Univalent Functions, Grundlehren Math. Wiss. 259, Springer, New York, 1983.
• [7] B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), no. 9, 1569-1573.
• [8] A. W. Kedzierawski, Some remarks on bi-univalent functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 39 (1985), 77-81.
• [9] M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967), 63-68.
• [10] H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), no. 10, 1188-1192.
• [11] H. M. Srivastava, S. Sivasubramanian and R. Sivakumar, Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions, Tbilisi Math. J. 7 (2014), no. 2, 1-10.
• [12] S. Sümer Eker, Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions, Turkish J. Math. 40 (2016), no. 3, 641-646.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).