Department oF Mathematics and Statistics

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Browsing Department oF Mathematics and Statistics by Author "A. O. Lasode"

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    Estimates for a class of analytic and univalent functions connected with quasi-subordination
    (Nigerian Society of Physical Sciences, 2024) R. O. Ayinla; A. O. Lasode
    Geometric Function Theory, an active field of study that has its roots in complex analysis, has gained an impressive attention from many researchers. This occurs largely because it deals with the study of geometric properties of analytic (and univalent) functions where many of its applications spread across many fields of mathematics, mathematical physics and engineering. Notable areas of application include conformal mappings, special functions, orthogonal polynomials, fluid flows in physics, and engineering designs. The investigations in this paper are on a subclass of analytic and univalent functions defined in the unit disk Ω and denoted by Qαq(m). The definition of the new class encompasses some well-known subclasses of analytic and univalent functions such as the classes of starlike functions, Yamaguchi functions, and Ma-Minda functions. Two key mathematical principles involved in the definition of the class are the principles of Taylor’s series and quasi-subordination. Some of the investigations carried out on functions f ∈ Qαq(m) are however, the upper estimates for some initial bounds, the solution to the well-known Fekete-Szegö problem and the upper estimate for a Hankel determinant.
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    Some coefficient problems of a class of close-to-star functions of type α defined by means of a generalized differential operator
    (2022) A. O. Lasode; A. O. Ajiboye; R. O. Ayinla
    In this investigation, we studied a class of Bazileviˇc type close-to-star functions which is defined by a generalized differential operator. The new class generalizes many known and new subclasses of close-to-star functions. Some of the investigated properties are the coefficient bounds and the Fekete-Szeg¨o functional. Our results extend some known and new ones.