In this paper, some infinite product representations of sine and cosine functions (whose all possible zeros and n-th order differential coecient at the point x = a, can be calculated easily) are obtained by using the theory of polynomial equations. This approach is novel as it is different from the approaches used by other authors.
In the present paper, we study the mapping properties of some integral operators on certain classes of harmonic univalent functions associated with generalized Bessel functions of the first kind. To be more precise, we study the mapping properties of Goodman-Rønning-type harmonic univalent functions in the open unit disc U.
In the present paper, we obtain some sufficient conditions of certain convolution operator involving generalized Bessel functions of first kind belonging to various subclasses of harmonic univalent functions. To be more precise, we investigate such connections with harmonic g-uniformly convex and harmonic g-uniformly starlike mappings in the plane.
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