Aufsatz(elektronisch)#129. September 2023
New subclasses of bi-univalent functions connected with a q-analogue of convolution based upon the Legendre polynomials
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 68, Heft 3, S. 527-542
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt Department of Mathematics, College of Science and Arts Al-Badaya, Qassim University, Buraidah 51951, Saudi Arabia e-mail: shezaeldeeb@yahoo.com; El-Deeb, Sheza M.; El-Matary, Bassant M.; Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt Department of Mathematics, College of Science and Arts Al-Badaya, Qassim University, Buraidah 51951, Saudi Arabia e-mail: bassantmarof@yahoo.com
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt Department of Mathematics, College of Science and Arts Al-Badaya, Qassim University, Buraidah 51951, Saudi Arabia e-mail: shezaeldeeb@yahoo.com; El-Deeb, Sheza M.; El-Matary, Bassant M.; Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt Department of Mathematics, College of Science and Arts Al-Badaya, Qassim University, Buraidah 51951, Saudi Arabia e-mail: bassantmarof@yahoo.com
ISSN: 2065-961X
"In this paper, we introduce new subclasses of analytic and bi-univalent functions connected with a q-analogue of convolution by using the Legendre polynomials. Furthermore, we find estimates on the fi rst two Taylor-Maclaurin coef cients |a_2| and |a_2| for functions in these subclasses and obtain Fekete-Szego problem for these subclasses."