Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q -Sălăgean Operator

Ekram E. Ali (), Rabha M. El-Ashwah, Teodor Bulboacă () and Abeer M. Albalahi
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Ekram E. Ali: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Rabha M. El-Ashwah: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Teodor Bulboacă: Research Center of Applied Analysis, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Abeer M. Albalahi: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Mathematics, 2025, vol. 13, issue 10, 1-13

Abstract: Using the generalized q -Sălăgean operator, we introduce a new class of meromorphic functions in a punctured unit disk U ∗ and investigate a majorization problem associated with this class. The principal tool employed in this analysis is the recently established q -Schwarz–Pick lemma. We investigate a majorization problem for meromorphic functions when the functions of the right hand side of the majorization belongs to this class. The main tool for this investigation is the generalization of Nehari’s lemma for the Jackson’s q -difference operator ∂ q given recently by Adegani et al.

Keywords: meromorphic function; subordination; convolution; majorization problem; Jackson’s q -difference operator; generalized q -Sălăgean operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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