Different questions lead to the same class of functions from natural integers to integers: those which have integral difference ratios, i.e. verifying f(a)− f(b) ≡ 0 (mod (a− b)) for all a > b. We characterize this class of functions via their representations as Newton series. This class, which obviously contains all polynomials with integral coefficients, also contains unexpected functions, fo...

Two (so-called C,D) classes of permutation-based bent Boolean functions were introduced by Carlet two decades ago, but without specifying some explicit construction methods for their construction (apart from the subclass D0). In this article, we look in more detail at the C class, and derive some existence and nonexistence results concerning the bent functions in the C class for many of the kno...

In this study, the idea of C-class functions is introduced in process building a bi-polar metric space, along with often coupled fixed point theorems for these mappings complete spaces that associate altering distance function and ultra-altering function. Furthermore, we provide applications to integral equations as well homotopy give an interpretation demonstrates relevance results obtained.

Abstract. In this paper we introduce a new subclass Mp(n, α, c) of analytic and multivalent functions in the unit disk which includes the class Sp(n, α) of multivalent starlike functions of order α and the class Tp(n,α) of multivalent convex functions of order α . Using generalized Bernardi Libera integral operator and Hölder’s inequality, some interesting properties of convolution for the clas...

Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...

Consider a database that represents the location of moving objects, such as taxi-cabs (typical query: retrieve the cabs that are currently within 1 mile of 33 Michigan Ave., Chicago), or objects in a battle-eld. Existing database management systems (DBMS's) are not well equipped to handle continuously changing data, such as the position of moving objects, since data is assumed to be constant un...