This article investigates conditions for analytic functions, highlighting their properties and implications.
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of functions. Furthermore survey the differential subordination problems which bind the Janowski and tangent hyperbolicfunctions.
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Elyazyd et al. (2025) studied this question.
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