Using the Nikiforov-Uvarov method, an application of the relativistic Duffin-Kemmer-Petiau equation in the presence of a deformed Hulthen potential is presented for spin zero particles. We derived the first-order coupled differential radial equations which enable the energy eigenvalues as well as the full wavefunctions to be evaluated by using of the Nikiforov-Uvarov method that can be written ...

The energy E of a graph is defined to be the sum of the absolute values of its eigenvalues. Nikiforov in “V. Nikiforov, The energy of C4-free graphs of bounded degree, Lin. Algebra Appl. 428(2008), 2569–2573” proposed two conjectures concerning the energy of trees with maximum degree ∆ ≤ 3. In this short note, we show that both conjectures are true.

The problems of the output regulations and/or disturbance reductions have attracted a lot of interest and have been actively researched in the consideration of the control problem for systems which are required to have servomechanism and for vibration attenuation in mechanical systems. It is well known that such problems are solvable using the Internal Model Principle in cases where the system ...

We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function a...

Let G be a simple undirected graph on n vertices. V. Nikiforov studied hybrids of AG and DG defined the matrix AαG for every real α∈[0,1] as AαG=αDG+(1−α)AG. In this paper, we define generalized Randić G, introduce establish bounds Estrada index new matrix. Furthermore, find smallest value α which is positive semidefinite. Finally, present solution to problem proposed by Nikiforov. The consists...

Exact solution of the Schrödinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. The agreement of our results is good. PACS numbers: 03.65.-w, 12.39.Jh, 21.10.-k

This value (together with the information of whether the graph is bipartite or not) describes the asymptotic behaviour of the number of closed walks of a given length as this length tends to infinity and is related to the mixing properties of the random walk on G. It is easy to see that if one considers a simple graph G and its complement G, then AdjG+AdjG is a matrix with norm n−1, so μ(G)+μ(G...