Papers

In this paper we study the properties of Rosenbloom-Tsfasman metric on the symmetric groups. The invariance properties of this metric on permutation groups are described. The volume of the spheres and balls in this metric space are discussed.
 

In this paper, a new theorem on degree of approximation of conjugate of a function LIP ( £(t),r) using (E,1) (C,1) product summability means of conjugate series of Fourier series has been established.

In this paper we discuss some properties of "a new kind of numbers", originally defined by a.k. Agarwal¹.

In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method (MHPM) and the classical homotopy perturbation method (HPM) is conducted. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHPM. The numerical results obtained from the MHPM and HPM are compared with the fourth-order Runge-Kutta method (RKM).

Singh² has studied Kaehlerian spaces with recurrent Bochner curvature; Sinha¹ has studied H-curvature tensors in Kaehler manifold. Further, Singh³ has studied some theorem on Kaehlerian spaces with recurrent H-curvature tensors. In the present paper, we have defined and studied Kaehlerian conharmonic* recurrent spaces. The necessary and sufficient condition for a Kaehlerian conharmonic* recurrent space to be Kaehlerian recurrent has been established. Several other theorems have also been derived on H-curvature tensors in Kaehlerian recurrent space.
 

In this paper we introduce -closed sets¹⁹ in bitopological spaces. Properties of these sets are investigated and we introduce two new bitopological spaces (i, j)- spaces and (i, j)-spaces as applications. Further we introduce and study -continuous maps¹⁹ and -irresolute maps¹⁹ in bitopological spaces.
 

In this present paper we have obtain a classical solution of one dimensional vertical ground water recharge by using Laplace transformation technique. Here we have use average diffusivity co-efficient over the whole range of moisture content is regarded as constant and a parabolic variation of permeability is assumed. The scope of the present investigation lies in an everincreasing importance of the hydrodynamics of polyphase fluids through porous media.

Since the development of graph theory, its applications are gaining a lot of importance among the researchers. Coloring of graphs is one of those applications used for creating maps and networks. Coloring involves use of different colors to print the regions of the graphs. A number of algorithms^1-3 have been developed for coloring the graphs. In this paper we are presenting two algorithms for coloring the vertices and finding the chromatic number of the planer graphs.
 

A coloring of a graph is an assignment of colors to its vertices so that no two adjacent vertices receive the same color. An n-coloring of a graph G uses n colors. The chromatic number _X(G) of a graph G is the minimum n for which G has an n-coloring. In this paper, we give an algorithm to determine the chromatic number of a graph using adjacency matrix.
 

In this paper we will obtain the general solution of the backward equation occurring in the Ornstein- Uhlenbeck Diffusion process involving H-function of one variable.