Euler polynomials coefficient estimates for bi-univalent functions defined by subordinations
Authors
A. Amourah
- Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman.
- Applied Science Research Center, Applied Science Private University, Amman, Jordan.
L.-I. Cotîrla
- Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
D. Breaz
- Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RC-510009 Alba Iulia, Romania.
Sh. M. El-Deeb
- Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.
M. Al-hodieb
- Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia.
M. Cojocnean
- Department of Mathematics, Faculty of Mathematics and Computer Science, Babes Bolyai University, Cluj Napoca, Romania.
Abstract
Our research endeavors focus on the introduction of novel subclasses of analytic functions, which are defined in terms of Euler polynomials. The primary objective of our investigation is to estimate the Fekete-Szego functional problem and determine the Maclaurin coefficients, specifically \(\left\vert c_{2}\right\vert \) and \(\left\vert c_{3}\right\vert \), for this particular subfamily. Furthermore, we will present a number of innovative findings that arise when we specialize the parameters employed in our core discoveries.
Share and Cite
ISRP Style
A. Amourah, L.-I. Cotîrla, D. Breaz, Sh. M. El-Deeb, M. Al-hodieb, M. Cojocnean, Euler polynomials coefficient estimates for bi-univalent functions defined by subordinations, Journal of Mathematics and Computer Science, 40 (2026), no. 1, 124--134
AMA Style
Amourah A., Cotîrla L.-I., Breaz D., El-Deeb Sh. M., Al-hodieb M., Cojocnean M., Euler polynomials coefficient estimates for bi-univalent functions defined by subordinations. J Math Comput SCI-JM. (2026); 40(1):124--134
Chicago/Turabian Style
Amourah, A., Cotîrla, L.-I., Breaz, D., El-Deeb, Sh. M., Al-hodieb, M., Cojocnean, M.. "Euler polynomials coefficient estimates for bi-univalent functions defined by subordinations." Journal of Mathematics and Computer Science, 40, no. 1 (2026): 124--134
Keywords
- Analytic functions
- Euler polynomials
- convolution
- bi-univalent functions
- Fekete-Szego problem
MSC
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