Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Connections between various subclasses of planar harmonic mappings involving generalized Bessel functions
Full text linkThe purpose of the present paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving generalized Bessel functions of first kind. To be more precise, we investigate such connections with Goodman-R{\o}nning-type harmonic univalent functions in the open unit disc \mathcal{U}
Some properties for certain class of analytic functions defined by convolution
Full text linkIn this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit disc U={z\in \mathbb{C}: left\vert z \right\vert <1} defined by convolution. The object of the present paper is to determine coefficient estimates, extreme points, distortion theorems, partial sums and integral means for functions belonging to the class H_{T}(f,g;\alpha ,k). We also obtain several results for the neighborhood of functions belonging to this class
Second Hankel Determinant for Bi-starlike Functions of Order β
Full text linkMaking use of the Hankel determinant, in this work, we consider a general subclass of bi-univalent functions. Moreover, we investigate the bounds of initial coefficients of this class
The p-harmonic measure of a small spherical cap
Full text linkWe estimate the p-harmonic measure of a small spherical cap
Coefficient estimates for some certain subclasses of close-to-convex functions
Full text linkIn this paper, we determine coeffcient bounds for functions in certain suclasses of close-to-convex functions, which are introduced here by means of the non-homogeneous Cauchy-Euler equation of order m. Also, we give some corollaries as special cases
Reduced second Zagreb index of bicyclic graphs with pendent vertices
Full text linkReduced second Zagreb index has been defined recently. In this paper we characterized extremal bicyclic graphs with pendent vertices with respect to this novel index
Some Properties of a new subclass of analytic univalent functions
Full text linkThe purpose of the present paper is to study the integral operator of the form\int_{0}^{z}\left\{\frac{D^nf(t)}{t}\right\}^{\delta}dt where f belongs to the subclass C(n,\alpha,\beta) and \delta is a real number. We obtain integral characterization for the subclass C(n,\alpha,\beta) and also prove distortion, rotation and radii theorem for this class. Relevant connections of the results presented here with various known results are briefly indicated
On \overline{H}−function
No full textThe present paper aims at the derivation of fractional calculus formulae for the \overline{H}-function due to Inayat-Hussain by the application of fractional calculus formulae due to Saigo and Meada involving a general class of polynomial S_n^{a,b,τ} (.)
Certain complex equations created by integral operator and some of their applications to analytic functions
Full text linkIn this work, several results relating to complex (differential) equations constituted by an integral operator are first presented andsome of their applications concerning multivalent functions which are analytic in the unit disk are then emphasized
An upper bound to the second Hankel determinant for pre-starlike functions of order α
Full text linkThe objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants