Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Hiba F. Al-Janaby; F. Ghanim; P. Agarwal

doi:10.52547/ijmsi.18.1.73

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Hiba F. Al-Janaby
, F. Ghanim
, P. Agarwal

Nonlinear Dynamic Research Centre (NDRC)

University of Baghdad
University of Sharjah
International College of Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.

Original language	English
Pages (from-to)	73-95
Number of pages	23
Journal	Iranian Journal of Mathematical Sciences and Informatics
Volume	18
Issue number	1
DOIs	https://doi.org/10.52547/ijmsi.18.1.73
State	Published - Apr 2023

Keywords

Harmonic function
Noor integral operator
Regular function
Schlicht function
ξ-generalized Hurwitz-Lerch zeta function

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10.52547/ijmsi.18.1.73

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abstract = "Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.",

keywords = "Harmonic function, Noor integral operator, Regular function, Schlicht function, ξ-generalized Hurwitz-Lerch zeta function",

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AU - Ghanim, F.

AU - Agarwal, P.

PY - 2023/4

Y1 - 2023/4

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AB - Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.

KW - Harmonic function

KW - Noor integral operator

KW - Regular function

KW - Schlicht function

KW - ξ-generalized Hurwitz-Lerch zeta function

UR - https://www.scopus.com/pages/publications/85159359864

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JF - Iranian Journal of Mathematical Sciences and Informatics

IS - 1

ER -

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

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Keywords

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