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

Author:

Almutairi Norah Saud1ORCID,Shahen Awatef1,Cătaş Adriana2ORCID,Darwish Hanan1

Affiliation:

1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

2. Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Abstract

Certain characteristics of univalent functions with negative coefficients of the form f(z)=z−∑n=1∞a2nz2n,a2n>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.

Funder

University of Oradea, Romania

Publisher

MDPI AG

Reference29 articles.

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