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Keywords:
Touchard polynomial; analytic function; integral operator; Hadamard product; univalent function
Touchard polynomial; analytic function; integral operator; Hadamard product; univalent function
Summary:
This paper discusses certain criteria that must be satisfied for a Touchard polynomial to belong to subclasses of analytic functions. Also, we obtain some inclusion relations between the classes $\mathfrak {U}_{\sigma }(D,E)$ and $\widehat {\mathcal {M}}(\eta ,\mu )$. We also go over the geometric characteristics of an integral operator that has to do with the Touchard polynomial. Some particular instances of our primary discoveries are also remarked upon and discussed.
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