6533b829fe1ef96bd128a299

RESEARCH PRODUCT

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

Mugur AcuShahram Najafzadeh

subject

010101 applied mathematicsPure mathematicsSubfamilyOperator (physics)010102 general mathematics0101 mathematics01 natural sciencesMathematics

description

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.

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