Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
Not a member yet
1189 research outputs found
Sort by
On the stratification by X-ranks of a linearly normal elliptic curve X ⊂ P^n
No full textLet X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal cardinality of a set S ⊂ X such that P in \langle S \rangle.In this paper we give an almost complete description of the stratification of P^n given by the X-rank and the open X-rank
Hermite-Hadamard type inequalities for r-convex functions in q-calculus
Get PDFThe aim of this work is to establish the q-analogue of Hermite-Hadamard inequalities for convex functions and r-convex functions
On generalized composite fractional q-derivative
Get PDFIn the present paper, we define a generalized composite fractional q-derivative D^{\alpha,\beta,\nu}_q and obtain some results for it. These results are image of power function under D^{\alpha,\beta,\nu}_q, composition of Riemann-Liouville type fractional q-integral I^\alpha_q with D^{\alpha,\beta,\nu}_q and q-Laplace transform of D^{\alpha,\beta,\nu}_q. We also obtain solution of a q-difference equation with derivative as D^{\alpha,\beta,\nu}_q and discuss some special cases. A q-difference equation of D^{\alpha,\beta,\nu}_q is solved using q-Laplace transform and its inverse
Some subordination and superordination results with an integral operator
Get PDFIn this article, we obtain some subordination and superordination preserving properties of meromorphic univalent functions in the punctured open unit disk associated with an integral operator. Some Sandwich-type results are also presented
Integral transforms of the S-functions
Get PDFThe object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given by Sharma and Jain [13], various integral transform of this function such as Euler transform, Laplace transform, Whittaker transform, K-transform are derived. The results obtained are useful in applied problems of science, engineering and technology
Non-linear differential polynomials sharing one or two values with finite weight
Get PDFThe purpose of the paper is to study the uniqueness of meromorphic functions sharing a small function with finite weight. The results of the paper improve and generalize the recent results due to X. B. Zhang and J. F. Xu [21]. We also solve an open problem as posed in the last section of [21]
New generalizations of some inequalities for k-special and q,k-special functions
Get PDFIn this work, we establish some new inequalities involving some k-special and q; k-special functions, by using the technique of A. McD. Mercer [11]
A proof that the maximum rank for ternary quartics is seven
Get PDFAt the time of writing, the general problem of finding the maximal Waring rank for homogeneous polynomials of fixed degree and number of variables (or, equivalently, the maximal symmetric rank for symmetric tensors of fixed order and in fixed dimension) is still unsolved. To our knowledge, the answer for ternary quartics is not widely known and can only be found among the results of a master\u27s thesis by Johannes Kleppe at the University of Oslo (1999). In the present work we give a (direct) proof that the maximal rank for plane quartics is seven, following the elementary geometric idea of splitting power sum decompositions along three suitable lines
Sobolev type spaces associated with the q-Rubin\u27s operator
Get PDFIn this paper we introduce and study some -Sobolev type spaces by using the harmonic analysis associated with the q-Rubin operator. In particular, embedding theorems for these spaces are established. Next, we introduce the q-Rubin potential spaces and study some of its properties
Prime injections and quasipolarities
Get PDFLet be a prime number. Consider the injectionand the elements and. Suppose that is seen as an automorphism of defined by ; then is a \emph{quasipolarity} if it is an involution without fixed points.In this brief note we give an explicit formula for the number of quasipolarities of interms of the prime decomposition of , and we prove sufficient conditions such that , where and are quasipolarities