用广义 (p,q)- 伯纳德积分算子定义的新一类多价函数

Iqbal Ali Hasoon, Najah Ali Jiben Al-Ziadi
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引用次数: 0

摘要

利用广义 $(p, q)$ 伯纳迪积分算子,我们引入并研究了一类新的 $\mathcal{F J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$ 在开放单位盘 $E$ 中具有负系数的多价解析函数。对于属于 $\mathcal{F} 类的函数,得到了一些几何特性,如系数估计、凸半径、近似凸性和星形性、闭合定理、极值点、积分均值不等式、邻域性质和卷积性质。\mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.
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New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator
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 $\mathcal{F} \mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.
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