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Geometric properties of Mathieu-type power series inside unit disk

In the present investigation we study normalized Mathieu-type power series and find sufficient conditions, so that the normalized Mathieu-type power series have certain geometric properties like close-to-convexity and starlikeness inside… Click to show full abstract

In the present investigation we study normalized Mathieu-type power series and find sufficient conditions, so that the normalized Mathieu-type power series have certain geometric properties like close-to-convexity and starlikeness inside the unit disc. Mathematics subject classification (2010): 33E20, 40A10, 30C45.

Keywords: geometric properties; type power; mathieu type; power series

Journal Title: Journal of Mathematical Inequalities
Year Published: 2019

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