Problems and properties for p-valent functions involving a new generalized differential operator

Ala’ Ali Amourah, Tariq Al-Hawary, Maslina Darus

Research output: Contribution to journalArticle

Abstract

In this paper, a new differential operator Ap nf(z) defined in the open unit disc U = {z ∈ ℂ: |z| < 1} is introduced. We then, using this operator and introduce a new subclass of analytic functions G(µ, λ, α, β, b, p). Moreover, we discuss coefficient estimates, growth and distortion theorems and inclusion properties for the function f belonging to the class Gn (µ, λ, α, β, b, p).

Original languageEnglish
Pages (from-to)207-216
Number of pages10
JournalThai Journal of Mathematics
Volume15
Issue number1
Publication statusPublished - 2017

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P-valent Functions
Distortion Theorem
Coefficient Estimates
Unit Disk
Differential operator
Analytic function
Inclusion
Operator
Class

Keywords

  • Analytic functions
  • Differential operator
  • P-valent functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Problems and properties for p-valent functions involving a new generalized differential operator. / Amourah, Ala’ Ali; Al-Hawary, Tariq; Darus, Maslina.

In: Thai Journal of Mathematics, Vol. 15, No. 1, 2017, p. 207-216.

Research output: Contribution to journalArticle

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