Sharp Estimates Involving a Generalized Symmetric Sălăgean q-Differential Operator for Harmonic Functions via Quantum Calculus

In this study, we apply q-symmetric calculus operator theory and investigate a generalized symmetric Sălăgean q-differential operator for harmonic functions in an open unit disk. We consider a newly defined operator and establish new subclasses of harmonic functions in complex order. We determine th...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-12, Vol.15 (12), p.2156
Main Authors: Al-Shbeil, Isra, Khan, Shahid, Tchier, Fairouz, Tawfiq, Ferdous M. O., Shatarah, Amani, Cătaş, Adriana
Format: Article
Language:English
Subjects:
analytic functions
Calculus
Convexity
Differential calculus
Differential equations
generalized symmetric Sălăgean q-differential operator
Harmonic functions
Operators (mathematics)
q-symmetric calculus
Quantum physics
univalent functions
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Summary:In this study, we apply q-symmetric calculus operator theory and investigate a generalized symmetric Sălăgean q-differential operator for harmonic functions in an open unit disk. We consider a newly defined operator and establish new subclasses of harmonic functions in complex order. We determine the sharp results, such as the sufficient necessary coefficient bounds, the extreme of closed convex hulls, and the distortion theorems for a new family of harmonic functions. Further, we illustrate how we connect the findings of previous studies and the results of this article.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15122156