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Prospects for Applied Mathematics and Data Analysis

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Online: 2836-4449
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Prospects for Applied Mathematics and Data Analysis
Full Length Article

Volume 1Issue 1PP: 23-30 • 2023

Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions

Khalifa AlShaqsi 1*
1Department of Mathematical and Physical Science University of Nizwa, Oman
* Corresponding Author.
Received: June 02, 2022 Accepted: December 19, 2022

Abstract

Let SH denote the class of functions f = h + g which are harmonic univalent and sense-preserving in the

unite disk U = {z : |z| < 1} where h(z) = z +P k=2 akzk, g(z) =Pk=1 bkzk (|b1| < 1). In this paper we establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Touchard Polynomials.

Keywords

Harmonic univalent Touchard Polynomials Integral Operator

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AlShaqsi, Khalifa. "Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions." Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 1, 2023, pp. 23-30. DOI: https://doi.org/10.54216/PAMDA.010102
AlShaqsi, K. (2023). Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 1), 23-30. DOI: https://doi.org/10.54216/PAMDA.010102
AlShaqsi, Khalifa. "Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions." Prospects for Applied Mathematics and Data Analysis Volume 1, no. Issue 1 (2023): 23-30. DOI: https://doi.org/10.54216/PAMDA.010102
AlShaqsi, K. (2023) 'Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions', Prospects for Applied Mathematics and Data Analysis, Volume 1(Issue 1), pp. 23-30. DOI: https://doi.org/10.54216/PAMDA.010102
AlShaqsi K. Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Prospects for Applied Mathematics and Data Analysis. 2023;Volume 1(Issue 1):23-30. DOI: https://doi.org/10.54216/PAMDA.010102
K. AlShaqsi, "Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions," Prospects for Applied Mathematics and Data Analysis, vol. Volume 1, no. Issue 1, pp. 23-30, 2023. DOI: https://doi.org/10.54216/PAMDA.010102
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