Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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On some symmetric q-special functions
Get PDFIn this paper, we define the q-analogue of gamma and Bessel function,symmetric under interchange of q and q−1, and present some of its main properties
Zero-dimensional families of polynomial systems
Get PDFIf a real world problem is modelled with a system of polynomial equations, the coefficients are in general not exact. The consequence is that small perturbations of the coefficients may lead to big changes of the solutions. In this paper we address the following question: how do the zeros change when the coefficients of the polynomials are perturbed? In the first part we show how to construct semi-algebraic sets in the parameter space over which the family of all ideals shares the number of isolated real zeros. In the second part we show how to modify the equations and get new ones which generate the same ideal, but whose real zeros are more stablewith respect to perturbations of the coefficients
Two New Sharp Ostrowski-Grüss Type Inequalities
Get PDFThe purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide improvements of some previous results in the literatures
Turán type inequalities for p-polygamma functions
No full textThe aim of this paper is to establish new Turán-type inequalities involving the p−polygamma functions
Some properties of the k-Gamma function
Get PDFWe give completely monotonicity properties and inequalities for functions involving the Γ_k functions and their logarithmic derivatives ψ_k functions. We introduce a k-analogue of the Riemann Zeta function ζ_k as an integral and using Schwarz’s and Holder’s inequalities we obtain some inequalities relating ζ_k and Γ_k functions. The obtained results are the k-anologues of known results concerning functions involving the Gamma and psi functions
An Alternative Method for Solving Generalized Fractional Kinetic Equations Involving the Generalized Functions for the Fractional Calculus
Get PDFThe paper is devoted to present an alternative method for deriving the solution of the generalized fractional kinetic equations in terms of K4-function and generalized M-series. The applied method depends on the fractional differintegral operator technique and the method is different from Laplace transform. The obtained results believed to be new
A comment on coposinormal operators
Get PDFHyponormal operators are necessarily posinormal, but they need not be coposinormal. Coposinormality can nevertheless sometimes be an aid in determining hyponormality. This idea is applied to coposinormal factorable matrices whose interrupter is diagonal. Examples are given, including some Toeplitz matrices and some terraced matrices associated with the logistic sequence
A new generalization of gamma, beta hypergeometric and confluent hypergeometric functions
Get PDFThe main object of this paper is to present new generalizations of gamma, beta hypergeometric and confluent hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas, differentiation formulas, beta distribution and integral representations are obtained for these new generalizations
Fixed Points of Weakly Compatible Mappings Using Common (E.A) Like property
Get PDFThe aim of this paper is to prove common fixed point theorems in Menger spaces using implicit relation and common (E.A) like property. An example is derived to support our main result. We extend our result to four finite families of self mappings. As an application of our main result, we prove an integral type common fixed point theorem satisfying ψ-contraction condition in Menger space. Our results improve some recent results in Menger spaces
Fekete-Szegö inequalities for certain subclasses of meromorphic functions of complex order
Get PDFIn this paper, we obtain Fekete-Szegö inequalities for a certain class of meromorphic functions f(z). Sharp bounds for the Fekete-Szegö functional |a1-μa02|are obtained