A certain subclass of multivalent functions involving higher-order derivatives | Zendy

H. M. Srivastava | Zendy; R. M. El-Ashwah | Zendy; Nicoleta Breaz | Zendy

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A certain subclass of multivalent functions involving higher-order derivatives

Author(s) -

H. M. Srivastava,

R. M. El-Ashwah,

Nicoleta Breaz

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1601113s

Subject(s) - mathematics , convexity , subclass , hadamard product , class (philosophy) , extreme point , order (exchange) , distortion (music) , convex function , product (mathematics) , hadamard transform , function (biology) , analytic function , operator (biology) , pure mathematics , mathematical analysis , regular polygon , combinatorics , geometry , cmos , repressor , artificial intelligence , electronic engineering , amplifier , chemistry , computer science , financial economics , antibody , engineering , biology , biochemistry , evolutionary biology , transcription factor , immunology , finance , economics , gene

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.

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