Papers

In this paper, we introduce a new classes of queueing networks with “negative customers”. A negative customer arriving to a queue reduces the total customers count in that queue by one negative customer donot receive service applications for such negative customer queueing networks include certain transaction models and certain neural network models. Even though the underlying equations of the models to be described can be nolinear they do have a product form solution for the equilibrium state probabilities.

This paper focuses on the study of a stochastic model for predicting seroconversion time of HIV transmission under correlated intercontact times. In the estimation of expected time to seroconversion, there is an important role for the interarrival times between successive contacts and it has a significant influence. We propose a stochastic model assuming the intercontact times between successive contacts are correlated random variables and the threshold distribution is SCBZ property. The expected time to seroconversion and its variance are derived and numerical illustrations are provided.

A Generalized unitary Euler’s totient is defined as a Dirichlet convolution of a power function & a product of the Souriau –Hsu- Mobius function with a completely multiplicative – function. Two combinatorial aspects of the generalized unitary Euler’s totient, namely its connect totients and its relations with counting formulas are investigated.

The aim of this paper is to establish some new integrals involving I-function of one variable and E-operator

Bianchi type-I inflationary cosmological model in the presence of mass less scalar field with a flat potential is investigated. A determinate solution is obtained without taking any supplementary condition between the metric potentials. Various physical and geometrical features of the model are also discussed

A comprehensive study of the steady laminar flow with heat generation of an incompressible electrically conducting micropolar fluid impinging on a permeable flat plate is analyzed numerically. A uniform suction or blowing is applied normal to the plate, which is maintained at a constant temperature. Also, a uniform magnetic field is applied normal to the plate and the viscous dissipation effect is taken into account. The governing partial differential equations are transformed into ordinary differential equations by using similarity variables and then solved them numerically by standard technique. The effects of the uniform suction/ blowing parameter, magnetic parameter, material parameter on the flow and heat transfer are presented graphically and discussed

Tilted Bianchi type I cosmological model in the presence of magnetic field and barotropic fluid is investigated. To determine complete solution, we have assumed that the condition p  , where p being isotropic pressure,  the matter density and also assumed that the relation between metric potential as A=BC. Here, we have seen that Maxwell’s equations F [ij;k] = 0 is satisfied by F 23 = constant. The physical and geometrical aspects of the model in the presence and absence of magnetic field together with singularity in the model are also discussed.

Takano1 have studied and defined decomposition of curvature tensor in a recurrent space. Sinha and Singh² have studied decomposition of recurrent curvature tensor field in a Finsler space. Further, Negi and Rawat5 studied decomposition of recurrent curvature tensor fields in a Kaehlerian space. Rawat and Silswal⁷ studied and defined decomposition of recurrent curvature fields in a Tachibana space

In the present paper, we have studied the decomposition of curvature tensor field in terms of two vectors and a tensor field. Also several theorems have been established therein.

In this paper we introduce the notion of a maximal lattice of groups. We also prove some theorems regarding maximal lattices and based on them develop a method to construct the maximal lattice of any finite cyclic group.

In this note a fixed point theorems on expansion mappings is established in a complete metric space under certain conditions. Further a common fixed point theorem for pair of weakly compatible expansion mappings is established. In this theorem the completeness of space is replaced with a set of four alternative conditions for functions satisfying implicit relations. These theorems extended and improve results of S.M. Kang2, M.A. Khan et al.3, B.E. Rhoades7 and T.Taniguchi8.