Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

Fethiye Müge SAKAR; Adnan CANBULAT

Makale detayları

Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

Yazarlar:

Fethiye Müge SAKAR | Adnan CANBULAT

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.293-300

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745691

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this work, considering a new subclass of  bi-univalent functions which are m-fold symmetric and analytic functions in the open unit disk, we determine estimates for the general Taylor-Maclaurin coefficient of the functions in this class. Furthermore, initial upper bounds of coefficients for m-fold symmetric, analytic and bi-univalent functions were found in this study. For this purpose, we used the Faber polynomial expansions. In certain cases, the coefficient bounds presented in this paper would generalize and improve some recent works in the literature.  We hope that this paper will inspire future researchers in applying our approach to other related problems.

Makale detayları

Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

Yazarlar: Fethiye Müge SAKAR | Adnan CANBULAT

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.293-300

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745691

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Fethiye Müge SAKAR | Adnan CANBULAT

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.293-300

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745691

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098