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A New subclass of Meromorphic Univalent Functions defined by q-Salagean operator. | ||
| Al-Qadisiyah Journal of Pure Science | ||
| Article 5, Volume 31, Issue 1, July 2026, Pages 85-108 PDF (1.09 M) | ||
| Document Type: Mathematics | ||
| DOI: 10.29350/qjps.2026.171377.1099 | ||
| Authors | ||
| ANURADHA VISHNOI* 1; Arvind Kumar Sharma2 | ||
| 1Department of Mathematics CSJM University Kanpur | ||
| 2Department of Mathematics, Janta Mahavidyalaya, Ajeetmal,Auraiya | ||
| Abstract | ||
| In the present paper, we introduce a new subclass of meromorphic univalent functions, which are defined by quantum calculus. We define the class P(n,q,λ,α) of meromorphic univalent functions and explore its significant geometric and analytic properties.We obtain coefficient estimates, and establish distortion bounds for functions in this class. Further we prove closure theorems and examine their behavior under Hadamard products, We also determine the radii of starlikeness, convexity and close to convexity for function in this class. Further we study a class preserving integral operator. Finally, we determine partial sums for the functions of this class, along with their convergence and geometric characteristics. | ||
| Keywords | ||
| Meromorphic function; q-derivative; Distortion bounds; Hadamard products; Partial sums | ||
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