Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 10.54216/PAMDA https://www.americaspg.com/journals/show/1437 2022 2022 Department of Mathematical and Physical Science University of Nizwa, Oman Khalifa AlShaqsi 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. 2023 2023 23 30 10.54216/PAMDA.010102 https://www.americaspg.com/articleinfo/34/show/1437