Second hankel determinant for a class defined by modified mittag-leffler with generalized polylogarithm functions

M. N.M. Pauzi, Maslina Darus, S. Siregar

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work, a new generalized derivative operator M m α,β,λ is introduced. This operator obtained by using convolution (or Hadamard product) between the linear operator of the generalized Mittag-Leffler function in terms of the extensively-investigated Fox-Wright p Ψ q function and generalized polylogarithm functions defined by (formula presented) where m ∈ N 0 = {0, 1, 2, 3, …} and min{ Re (α), Re (β)} > 0. By making use of (formula presented) M α, β, λ f(z), m a class of analytic functions is introduced. The sharp upper bound for the nonlinear |a 2 a 4 − a 2 3 (also called the second Hankel functional) is obtained. Relevant connections of the results presented here with those given in 3

Original languageEnglish
Pages (from-to)453-459
Number of pages7
JournalJournal of Mathematics and Computer Science
Volume18
Issue number4
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Hankel Determinant
Polylogarithms
Hadamard Product (or convolution)
Mittag-Leffler Function
Generalized Derivatives
Q-function
Hankel
Operator
Generalized Functions
Linear Operator
Mathematical operators
Analytic function
Upper bound
Convolution
Derivatives
Class

Keywords

  • Hankel determinant
  • Modified Mittag-Leffler function
  • Polylogarithms functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Computational Mathematics
  • Computer Science Applications
  • Computational Mechanics

Cite this

Second hankel determinant for a class defined by modified mittag-leffler with generalized polylogarithm functions. / Pauzi, M. N.M.; Darus, Maslina; Siregar, S.

In: Journal of Mathematics and Computer Science, Vol. 18, No. 4, 01.01.2018, p. 453-459.

Research output: Contribution to journalArticle

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