Bernoulli polynomials for a new subclass of Te-univalent functions
G. Saravanan,
S. Baskaran,
B. Vanithakumari,
Lulah Alnaji,
Timilehin Gideon Shaba,
Isra Al-Shbeil,
Alina Alp Lupas
Affiliations
G. Saravanan
Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
S. Baskaran
Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai, 600061, Tamilnadu, India
B. Vanithakumari
Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai, 601103, Tamilnadu, India; Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai, 600061, Tamilnadu, India
Lulah Alnaji
Department of Mathematics, College of Science, University of Hafr Al-Batin, Hafr Al-Batin, 39524, Saudi Arabia
Timilehin Gideon Shaba
Department of Physical Sciences, Mathematics Programme, Landmark University, Omu-Aran 251103, Nigeria
Isra Al-Shbeil
Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan; Corresponding author.
Alina Alp Lupas
Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania
This paper introduces a novel subclass, denoted as Tσq,s(μ1;ν1,κ,x), of Te-univalent functions utilizing Bernoulli polynomials. The study investigates this subclass, establishing initial coefficient bounds for |a2|, |a3|, and the Fekete-Szegö inequality, namely |a3−ζa22|, are derived for this class. Additionally, several corollaries are provided to further elucidate the implications of the findings.
