Prospects for Applied Mathematics and Data Analysis

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Volume 1 , Issue 1 , PP: 23-30, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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)
  • 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

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    Cite This Article As :
    AlShaqsi, Khalifa. Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions. Prospects for Applied Mathematics and Data Analysis, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 23-30, 2023. DOI: https://doi.org/10.54216/PAMDA.010102