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The present study aims at investigating some characterizations of a new subclass G α (μ , τ) and obtaining the bounds on the first two Taylor–Maclaurin coefficients for functions belonging to the newly introduced subclass. In order to achieve this, a compound function L x , n σ (z) is derived from the convolution of the analytic function f (z) and a modified exponential Pareto distribution G (x) in conjunction with the famous Libera integral operator L (ζ) . With the aid of the derived function, the aforementioned subclass G α (μ , τ) is introduced, while some properties of functions belonging to this subclass are considered in the open unit disk. [ABSTRACT FROM AUTHOR]

The present paper defines a new subclass of analytic functions by means of the generalized polylogarithm equipped with subordination. The defined new class engages Poisson distribution series and generalized Pascal snail. The early first few coefficients are obtained and their relevance to classical inequality by Fekete-Szego are discussed. The consequences of our parametric equation are pointed out. [ABSTRACT FROM AUTHOR]

Truncated tangent polynomials associated with generalised Pascal snail defined by subordination are investigated. Coefficient inequalities describing the univalency of the defined classes is established. Graphs are used to present some consequences of the parameter involved. Furthermore, bounds for the first coefficients are derived and their relevance to classical Fekete Szego inequality is established. To the best of our knowledge the results presented are new. [ABSTRACT FROM AUTHOR]

The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution in the open unit disk U. Using the Hadamard product or convolution, function f s (z) is defined as involving an analytic p-valent function and generalized distribution expressed in terms of analytic p-valent functions. Neighborhood properties for functions f s (z) are established. Further, by applying a previously introduced linear transformation to f s (z) and using an extended Libera integral operator, a new generalized Libera-type operator is defined. Moreover, using the same linear transformation, subclasses of starlike, convex, close-to-convex and spiralike functions are defined and investigated in order to obtain geometrical properties that characterize the new generalized Libera-type operator. Symmetry properties are due to the involvement of the Libera integral operator and convolution transform. [ABSTRACT FROM AUTHOR]

The paper investigates Poisson and neutrosophic Poisson distribution series. The first few coefficient bounds for Poisson distribution whose parameter takes a definite and determined values were studied, while coefficient bounds for neutrosophic Poisson distribution whose parameter takes undetermined values or inaccurate statistical data were investigated. Examples to demonstrate our argument for neutrosophic Poisson distribution were provided. [ABSTRACT FROM AUTHOR]

We introduce a new iterative scheme and prove a strong convergence theorem for it. This iterative scheme finds a common point in the set of fixed points of a finite family of Bregman quasi-nonexpansive mappings and the common solution set of the variational inequality problem for continuous monotone mappings. [ABSTRACT FROM AUTHOR]

The paper investigated the polynomials whose coefficients are generalized distribution. Convolution via generalized polylogarithm and subordination methods were employed to obtain the upper bounds for the first few coefficients of the class defined. Furthermore, relevant connections to Fekete-Szego classical theorem were established, particularly in conic region. Conclusively, consequences of various choices of parameters involved were pointed out. The results further established geometric properties of the generalized distribution associated with univalent functions. [ABSTRACT FROM AUTHOR]

In this paper, we estimate the bounds for probability distribution series by means of q-difference operator using subordination principle. [ABSTRACT FROM AUTHOR]

In this paper the author invesitigate the coefficient bounds using symmetric Toepliz determinants T2(2); T2(3); T3(2) and T3(1) for the fiunctions in the class of Bazilevic family denoted by Bn(α, α, g). [ABSTRACT FROM AUTHOR]

In the present work the author study the prestarlike harmonic functions related to Goodman-Ronning-type harmonic functions in connection with the generalized Bessel function. [ABSTRACT FROM AUTHOR]

The author investigates the relationship between unified subclasses of analytic univalent functions and simple logistic activation function to determine the initial Taylor series coefficients alongside classical Fekete-Szegȍ problem. [ABSTRACT FROM AUTHOR]