A Certain Subclass of Multivalent Functions Involving Higher-Order Derivatives

作者：Srivastava H M^*; El Ashwah Rabha M^*; Breaz Nicoleta^*

来源：Filomat, 2016, 30(1): 113-124.

DOI：10.2298/FIL1601113S

• Analytic functions
• Multivalent functions
• Starlike functions
• Convex functions
• Uniformly starlike functions
• Uniformly convex functions
• Higher-order derivatives
• Cauchy-Schwarz inequality
• Modified Hadamard product

In this paper we introduce and study a new class of analytic and p-valent functions involving higher-order derivatives. For this p-valent function class, we derive several interesting properties including (for example) coefficient inequalities, distortion theorems, extreme points, and the radii of close-to-convexity, starlikeness and convexity. Several applications involving an integral operator are also considered. Finally, we obtain some results for the modified Hadamard product of the functions belonging to the p-valent function class which is introduced here.

• 出版日期2016
• 单位中国医科大学