Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 19 (2024), 385 -- 399

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This work is licensed under a Creative Commons Attribution 4.0 International License.

HADAMARD AND QUASI-HADAMARD PROPERTIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

Shashi Kant, Neelmani Gupta and Sanjay Issar

Abstract. In the present paper two subclasses \mathcalSq*(\itNe) and \mathcalKq(\itNe) of analytic functions are introduced by using q-derivative operator. Several properties including Hadamard product, quasi-Hadamard product, the necessary and sufficient condition and coefficient estimates for the functions belonging to these subclasses are obtained.

2020 Mathematics Subject Classification: 30C45, 30C50
Keywords: Hadamard product (or convolution), Quasi-Hadamard product, Subordination between analytic functions, q-derivative operator.

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Shashi Kant
Department of Mathematics, Government Dungar College,
Bikaner-334001, INDIA.
e-mail: drskant.2007@yahoo.com

Neelmani Gupta
Department of Mathematics, Government Dungar College,
Bikaner-334001, INDIA.
e-mail: neelmanigupta04@gmail.com

Sanjay Issar
Department of Mathematics, Government Dungar College,
Bikaner-334001, INDIA.
e-mail: sanjayissar@gmail.com





https://www.utgjiu.ro/math/sma