A family of harmonic univalent functions denied by a linear multiplier fractional operator
1 Department of Mathematics, Sokoto State University, P.M.B. 2134, Sokoto, Nigeria
2 Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin
* Corresponding author: afolaba4success@gmail.com
2 Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin
* Corresponding author: afolaba4success@gmail.com
Abstract
In this paper, we use a generalized linear multiplier fractionaldifferential operator to define a new family of harmonic univalentfunctions in the unit disk. Also, we obtain the coecient conditions,convolution condition and convex combination for the class.
Keywords
Harmonic univalent function
sense-preserving
fractional operator
convolution
convex combination
How to Cite
Afolabi, Y. O., Fadipe-Joseph, O. A., Ejieji, C. N., & Oluwaseyi, O. R. (2019). A family of harmonic univalent functions denied by a linear multiplier fractional operator. Nigerian Journal of Mathematics and Applications, 29(2), 36-47.
Y. O. Afolabi, O. A. Fadipe-Joseph, C. N. Ejieji, and O. R. Oluwaseyi, "A family of harmonic univalent functions denied by a linear multiplier fractional operator," Nigerian Journal of Mathematics and Applications, vol. 29, no. 2, pp. 36-47, December 2019.
