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Title

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

  Khalifa AlShaqsi 1 *

1  Department of Mathematical and Physical Science University of Nizwa, Oman
    (khalifa.alshaqsi@unizwa.edu.om)

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Doi   :   https://doi.org/10.54216/PAMDA.010102

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

References :

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Cite this Article as :
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MLA Khalifa AlShaqsi. "Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions." Prospects for Applied Mathematics and Data Analysis, Vol. 1, No. 1, 2023 ,PP. 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
APA Khalifa AlShaqsi. (2023). Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
Chicago Khalifa AlShaqsi. "Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions." Journal of Prospects for Applied Mathematics and Data Analysis, 1 no. 1 (2023): 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
Harvard Khalifa AlShaqsi. (2023). Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Journal of Prospects for Applied Mathematics and Data Analysis, 1 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
Vancouver Khalifa AlShaqsi. Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 1 ( 1 ): 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
IEEE Khalifa AlShaqsi, Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 1 , No. 1 , (2023) : 23-30 (Doi   :  https://doi.org/10.54216/PAMDA.010102)
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