Convolution Properties of Meromorphic P -Valent Functions with Coefficients of Alternating Type Defined Using q -Difference Operator

Norah Saud Almutairi (), Awatef Shahen, Adriana Cătaş () and Hanan Darwish
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Norah Saud Almutairi: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Awatef Shahen: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Adriana Cătaş: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania
Hanan Darwish: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2024, vol. 12, issue 13, 1-10

Abstract: Certain characteristics of univalent functions with negative coefficients of the form f ( z ) = z − ∑ n = 1 ∞ a 2 n z 2 n , a 2 n > 0 have been studied by Silverman and Berman. Pokley, Patil and Shrigan have discovered some insights into the Hadamard product of P -valent functions with negative coefficients. S. M. Khairnar and Meena More have obtained coefficient limits and convolution results for univalent functions lacking a alternating type coefficient. In this paper, using the q -Difference operator, we developed the a subclass of meromorphically P -valent functions with alternating coefficients. Additionally, we obtained multivalent function convolution results and coefficient limits.

Keywords: meromorphic functions; alternating series; q-calculus; analytic functions; P -valent; starlike function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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