A certain subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials

In: Tatra Mountains Mathematical Publications, vol. 78, no. 1

Bolineni Venkateswarlu

- P. Rami Reddy - Settipallii Sridevi - Vaishnavy Sujatha

Detaily:

Rok, strany: 2021, 73 - 84

Jazyk: eng

Kľúčové slová:

analytic, coefficient bounds, extreme points, convolution, polynomial.

Typ článku: Mathematics

Typ dokumentu: scientific paper

DOI: https://doi.org/10.2478/tmmp-2021-0006

Full text

O článku:

In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class $TS_λ^m(γ,ρ,k,θ)$. Furthermore, we obtained the Fekete-Szego problem for this class.

Ako citovať:

ISO 690:

Venkateswarlu, B., Reddy, P., Sridevi, S., Sujatha, V. 2021. A certain subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 73-84. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0006

APA:

Venkateswarlu, B., Reddy, P., Sridevi, S., Sujatha, V. (2021). A certain subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. Tatra Mountains Mathematical Publications, 78(1), 73-84. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0006

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 14. 10. 2021

Verejná licencia:

https://creativecommons.org/licenses/by-nc-nd/4.0/