Multiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polynomials. They are described by a Riemann-Hilbert matrix Y consisting of four blocks Y1,1, Y1,2, Y2,1 and Y2,2. In this paper, we show that detY1,1 (detY2,2) equals the average characteristic polynomial (average inverse characteristic polynomial, respectively) over the probabilistic ensemble that is associa...

The Schrödinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The Nikiforov-Uvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to twoand four-dimensional systems for arbitrary quantum numbers n and l with three ...

THE economic importance of insect nutrition requires no further emphasis as Uvarov (1928) has dealt adequately with this subject. An outstanding physiological problem is the role of micro-organisms in the nutrition of insects, and especially of those insects which feed habitually on decaying matter. It has been variously suggested in such cases that micro-organisms either form the actual food, ...

We study the effect of spatially dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3 + 1)-dimensions for any arbitrary spin-orbit κ state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by ...

Using a recently applied systematical method for solving the Dirac equation with spherically symmetric local interaction, we analyzed the problem of a relativistic Dirac particle in the presence of the q-deformed Woods-Saxon potential. The relativistic energy spectrums and two-component spinor wavefunctions, established in terms of the Jacobi polynomials, are obtained analytically. It is shown ...

The Special Issue of the journal Chimica Techno Acta includes papers presented at 8-th International Russian – Kazakhstan Conference “Chemical Technologies Functional Materials” held Al-Farabi Kazakh National University, Almaty, Kazakhstan, 28–29 April 2022.The was organized by University (Almaty, Kazakhstan), Novosibirsk State Technical (Novosibirsk, Russia) and Institute Solid Chemistry, Sibe...

Two physically important potentials (Manning-Rosen and P\"oschl-Teller) are considered for the ro-vibrational energy in diatomic molecules. An improved new approximation is invoked centrifugal term, which then used their solution within Nikiforov-Uvarov framework. This employs a recently proposed scheme, combines two widely Greene-Aldrich Pekeris-type approximations. Thus, approximate analytica...

A four parameter exponential-type potential known as the deformed and modified Morse model was proposed. The solution of one-dimensional radial Schrӧdinger equation obtained in presence proposed for an arbitrary ℓ-state using a parametric Nikiforov–Uvarov method. energy used to obtain eigenvalues cesium molecule tin carbide various states. effects on were studied. result by fixing zero. Finally...

By applying the generalized fractional-Nikiforov-Uvarov (GF-NU) approach, radial Schrodinger equation is analytically solved. The energy eigenvalues and associated functions are calculated by extending interaction potential to an anisotropic hot-dense QCD medium. For heavy quarkonium masses like charmonium bottomonium, special cases of mass obtained at α=β=1. effect fraction parameter investiga...