New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator

Author:

Hasoon Iqbal Ali1,Al-Ziadi Najah Ali Jiben1

Affiliation:

1. Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniya, Iraq

Abstract

Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\mathcal{F J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\mathcal{F} \mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.

Publisher

Earthline Publishers

Reference25 articles.

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3. Altintaş, O. (1991). On a subclass of certain starlike functions with negative coefficients. Mathematica Japonica, 36, 489-495.

4. Altintaş, O., Irmak, H., & Srivastava, H. M. (1995). Fractional calculus and certain starlike functions with negative coefficients. Computers & Mathematics with Applications, 30(2), 9-16. https://doi.org/10.1016/0898-1221(95)00073-8

5. Aqlan, E. S. (2004). Some problems connected with geometric function theory (Doctoral dissertation, Pune University, Pune).

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