The object of the present paper is to study some properties of curvature tensor of a semi-symmetric non-metric connection in a type of special paracontact Kenmotsu (briefly SP-Kenmotsu) manifold. We have deduced the expressions for curvature tensor and the Ricci tensor of Mn with respect to semi-symmetric non-metric connection . It is proved that in an SP-Kenmotsu manifold if the curvature tensor of the semi-symmetric non-metric connection vanishes then the manifold is projectively flat.
In this paper, we explore the notion of generalized semi topological groups. This notion is based upon the two ideas, generalized topological spaces introduced by Csaszar [2,3] and the semi open sets introduced by Levine [7]. We investigate on the notion of generalized topological group introduced by Hussain [4]. We explore the idea of Hussain by considering the generalized semi continuity upon the two maps of binary relation and inverse function.
In [7], Ryoo introduced the generalized tangent numbers and polynomials. In this paper, our goal is to give generating functions of the degenerate generalized tangent numbers and polynomials. We also obtain some explicit formulas for degenerate generalized tangent numbers and polynomials.
In this paper, the authors present some double inequalities associated with certain ratios of the Gamma function. The results are further generalizations of several previous results. The approach is based on some monotonicity properties of some functions involving the generalized Gamma functions. At the end, some open problems are posed.
We study the properties of prime number sequences obtained using a well-defined equivalence relation . It will be seen that the elements of each class of are all prime numbers which constitute the fundamental object of our study. The number of prime numbers of each class less than or equal to a given quantity , the number of the different equivalence classes and some other results will be deduced.