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Mathematics

Al-Qadisiyah Journal of Pure Science

2020

Hadamard product

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Univalent Functions With Positivecoefficients Involving Touchard Polynomials, Gangadharan Murugusundraramoorthy, Saurabh Porwal Oct 2020

Univalent Functions With Positivecoefficients Involving Touchard Polynomials, Gangadharan Murugusundraramoorthy, Saurabh Porwal

Al-Qadisiyah Journal of Pure Science

The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Touchard polynomials. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk $\mathbb{U}.$


Some Properties Of Univalent Function With Negative Coefficients Defined By Using A Linear Operator In The Open Unit Disk, Teba Rzaij Sabah, Abdul Rahman Salman Juma Jul 2020

Some Properties Of Univalent Function With Negative Coefficients Defined By Using A Linear Operator In The Open Unit Disk, Teba Rzaij Sabah, Abdul Rahman Salman Juma

Al-Qadisiyah Journal of Pure Science

In this paper, we introduce and study the subclass R()of univalent function with negative coefficients by using new linear operator in the open unit disk. We obtain some geometric properties like coefficient inequality ,growth and distortion theorem. Hadmard product ,extreme point, closure theorem and radii of starlikeness, convexity and close-to-convexity of functions belonging to our subclass.