Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized <inline-formula><math display="inline"><semantics><mstyle mathvariant="bold"><mi mathvariant="fraktur">q</mi></mstyle></semantics></math></inline-formula>-Sălăgean Operator

Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized <inline-formula><math display="inline"><semantics><mstyle mathvariant="bold"><mi mathvariant="fraktur">q</mi></mstyle></semantics></math></inline-formula>-Sălăgean Operator

Using the generalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-Sălăgean operator, we introduce a new...

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Bibliographic Details
Main Authors:	Ekram E. Ali, Rabha M. El-Ashwah, Teodor Bulboacă, Abeer M. Albalahi
Format:	Article
Language:	English
Published:	MDPI AG 2025-05-01
Series:	Mathematics
Subjects:	meromorphic function subordination convolution majorization problem Jackson’s <named-content content-type="inline"><inline-formula> <mml:math id="mm451"> <mml:semantics> <mml:mi mathvariant="fraktur">q</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-difference operator generalized <named-content content-type="inline"><inline-formula> <mml:math id="mm561"> <mml:semantics> <mml:mi mathvariant="fraktur">q</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-Sălăgean operator
Online Access:	https://www.mdpi.com/2227-7390/13/10/1612
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Summary:	Using the generalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-Sălăgean operator, we introduce a new class of meromorphic functions in a punctured unit disk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="script">U</mi><mo>∗</mo></msup></semantics></math></inline-formula> and investigate a majorization problem associated with this class. The principal tool employed in this analysis is the recently established <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-difference operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>∂</mo><mi mathvariant="fraktur">q</mi></msub></semantics></math></inline-formula> given recently by Adegani et al.
ISSN:	2227-7390