Applications of Bernoulli Polynomials and q 2 -Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish () and Paduvalapattana Kempegowda Mamatha
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Basem Aref Frasin: Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, Jordan
Sondekola Rudra Swamy: Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560107, Karnataka, India
Ibtisam Aldawish: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi Arabia
Paduvalapattana Kempegowda Mamatha: School of Mathematics, Alliance University, Central Campus, Chikkaadage Cross, Chandapura-Anekal Main Road, Bengaluru 562106, Karnataka, India

Mathematics, 2025, vol. 13, issue 21, 1-16

Abstract: The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q 2 -Srivastava–Attiya operator in conjunction with Bernoulli polynomials. We derive initial coefficient estimates for functions in the newly proposed class and also provide bounds for the Fekete–Szegö functional. In addition to presenting several new findings, we also explore meaningful connections with previously established results in the theory of bi-univalent and subordinate functions, thereby extending and unifying the existing literature in a novel direction.

Keywords: Bernoulli polynomials; bi-univalent functions; holomorphic functions; q 2 -Srivastava–Attiya operator; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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