For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations. We develop a general theory of LU factorizations related to complete systems of orthogonal polynomials with discrete orthogonality relation...

In this work, we present a numerical investigation of the properties Graphene based Nano Patch Antenna (GNPA) with triangular periodic arrangements Photonic Band Gap (PBG) insertion into substrate. proposed design, studied effect on radiation characteristics, such as return loss, bandwidth, gain, directivity, voltage standing wave ratio (VSWR), and pattern using Finite Integration Method (FIM)....

Government regulations to address technological risks are important for the successful development and application of nanotechnology, but there is an ongoing debate in the USA about who is responsible for the regulation of nanotechnology. In a mail survey of leading US nano-scientists, we examine scientists’ perceptions about nano-regulation, including the government level (local, national, or ...

let r and s be reduced rings with identities whose idempotents are central, and let m be an(r, s)-bimodule such that annr (m)=0. in this paper, we determine first the structure of automorphisms ofthe triangular ring, =sr mt0, and then, for all automorphisms α ,β of t we determine the structureof (α,β)-derivations of t.

objective: maintaining the health of oral tissues is a major goal in dentistry. however, limitations in dental materials, instruments, procedures and medications prevent achievement of this goal. advances in nanotechnology have paved the way to approach this goal. this study reviews the advances on nanotechnology in dentistry. review of literatures: in this review study, google scholar, pubmed,...

The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics...