Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator

K. A. Challab, Maslina Darus, F. Ghanim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let fn(z) = z+ Σk=2 n akzk be the sequence of partial sums of the analytic function f(z) = z+ Σk=2 akzk In this paper, we determine sharp lower bounds for R {f(z)=fn(z}); R {fn(z)=f(z}), R {f'(z)=fn '(z}) and R {fn '(z)=f'(z}).The efficiency of the main result not only provides the unification of the results discussed in the literature but also generates certain new results.

Original languageEnglish
Pages (from-to)362-372
Number of pages11
JournalSiberian Electronic Mathematical Reports
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

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Partial Sums
Analytic function
Operator
Unification
Lower bound
Class

Keywords

  • Analytic functions
  • Generalized Hurwitz-Lerch zeta function
  • Hadamard product (or convolution)
  • Srivastava-Attiya operator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator. / Challab, K. A.; Darus, Maslina; Ghanim, F.

In: Siberian Electronic Mathematical Reports, Vol. 15, 01.01.2018, p. 362-372.

Research output: Contribution to journalArticle

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