<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A new subfamily of <italic>p</italic>–valent analytic functions with negative coefficients in terms of <italic>q</italic>–analogue of generalized Ruschweyh operator is considered. Several properties concerning coefficient bounds, weighted and arithmetic mean, radii of starlikeness, convexity and close-to-convexity are obtained. A family of class preserving integral operators and integral representation are also indicated.</p></abstract>

A new subfamily of p–valent analytic functions with negative coefficients in terms of q–analogue of generalized Ruschweyh operator is considered. Several properties concerning coefficient bounds, weighted and arithmetic mean, radii of starlikeness, convexity and close-to-convexity are obtained. A family of class preserving integral operators and integral representation are also indicated.

<italic>q</italic>–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Faculty of Science, Department of Mathematics and Computer Science

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

A new subfamily of p–valent analytic functions with negative coefficients in terms of q–analogue of generalized Ruschweyh operator is considered. Several...

q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Published Online: Mar 20, 2020

Page range: 59 - 69

Received: Jun 02, 2019

Accepted: Oct 21, 2019

DOI: https://doi.org/10.2478/gm-2019-0015

Keywords
–valent function, Fractional –calculus operator, Ruschweyh operator, Coefficient inequality, Weighted mean, Arithmetic mean, Radii structures

© 2019 Shahram Najafzadeh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Published Online: Mar 20, 2020

Page range: 59 - 69

Received: Jun 02, 2019

Accepted: Oct 21, 2019

DOI: https://doi.org/10.2478/gm-2019-0015

Keywords–valent function, Fractional –calculus operator, Ruschweyh operator, Coefficient inequality, Weighted mean, Arithmetic mean, Radii structures

© 2019 Shahram Najafzadeh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
–valent function, Fractional –calculus operator, Ruschweyh operator, Coefficient inequality, Weighted mean, Arithmetic mean, Radii structures