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Keywords = q -analogue Noor integral operator

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11 pages, 279 KiB  
Article
Convolution Results with Subclasses of p-Valent Meromorphic Function Connected with q-Difference Operator
by Ekram E. Ali, Rabha M. El-Ashwah, Abeer M. Albalahi, Rabab Sidaoui, Marwa Ennaceur and Miguel Vivas-Cortez
Mathematics 2024, 12(22), 3548; https://doi.org/10.3390/math12223548 - 13 Nov 2024
Viewed by 740
Abstract
Applying the operator of q-difference, we examine the convolution properties of the subclasses MSζ,qr,p(A,B) and MKζ,qr,p(A,B) of p-valent [...] Read more.
Applying the operator of q-difference, we examine the convolution properties of the subclasses MSζ,qr,p(A,B) and MKζ,qr,p(A,B) of p-valent meromorphic functions defined in the punctured open-unit disc. We derived specific inclusion features and coefficient estimates for functions that fall into these subclasses. Additionally, connections between the results presented here and those discovered in earlier papers are emphasized. Full article
(This article belongs to the Special Issue Complex Analysis and Geometric Function Theory, 2nd Edition)
12 pages, 293 KiB  
Article
Geometric Properties Connected with a Certain Multiplier Integral q−Analogue Operator
by Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Wafaa Y. Kota and Abeer M. Albalahi
Symmetry 2024, 16(7), 863; https://doi.org/10.3390/sym16070863 - 8 Jul 2024
Cited by 2 | Viewed by 1357
Abstract
The topic concerning the introduction and investigation of new classes of analytic functions using subordination techniques for obtaining certain geometric properties alongside coefficient estimates and inclusion relations is enriched by the results of the present investigation. The prolific tools of quantum calculus applied [...] Read more.
The topic concerning the introduction and investigation of new classes of analytic functions using subordination techniques for obtaining certain geometric properties alongside coefficient estimates and inclusion relations is enriched by the results of the present investigation. The prolific tools of quantum calculus applied in geometric function theory are employed for the investigation of a new class of analytic functions introduced by applying a previously defined generalized qintegral operator and the concept of subordination. Investigations are conducted on the new class, including coefficient estimates, integral representation for the functions of the class, linear combinations, forms of the weighted and arithmetic means involving functions from the class, and the estimation of the integral means results. Full article
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