Convolution Results with Subclasses of p -Valent Meromorphic Function Connected with q -Difference Operator

Ekram E. Ali, Rabha M. El-Ashwah (), Abeer M. Albalahi, Rabab Sidaoui, Marwa Ennaceur and Miguel Vivas-Cortez
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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
Abeer M. Albalahi: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Rabab Sidaoui: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Marwa Ennaceur: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Miguel Vivas-Cortez: Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Fisicas y Matematicas, Pontificia Universidad Catolica del Ecuador, Av. 12 de Octubre 1076, Quito 170143, Ecuador

Mathematics, 2024, vol. 12, issue 22, 1-11

Abstract: Applying the operator of q -difference, we examine the convolution properties of the subclasses MS ζ , q r , p ( A , B ) and M K ζ , q r , 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.

Keywords: q -derivative operator; analytic functions; starlikeness; convolution; differential subordination; q -analogue multiplier operator; q -analogue Noor integral operator; coefficient estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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