SOME THEOREMS ON GENERATING FUNCTIONS AND THEIR APPLICATIONS - Advanced
Studies in Contemporary Mathematics - 장전수학회 : 논문 - DBpia 메뉴 건너뛰기 DBpia 전체 …

For each fixed value of $\beta $ in the range $-2<\beta<-1$ and $0< c< 1$, we investigate
interlacing properties of the zeros of polynomials of consecutive degree for $ M_ {n}(x;\beta …

In this article, we introduce new symmetric endomorphism operators by making use of
appropriate infinite product series. The main results show that after direct calculations, the …

We consider the interlacing of zeros of polynomials within the sequences of quasi-
orthogonal order one Meixner polynomials characterised by− β, c∈(0, 1). The interlacing of …

This paper deals with monic orthogonal polynomials orthogonal with a perturbation of
classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner …

We show how to obtain linear combinations of polynomials in an orthogonal sequence
$\{P_n\} _ {n\geq 0} $, such as $ Q_ {n, k}(x)=\sum\limits_ {i= 0}^ k a_ {n, i} P_ {ni}(x) $, $ a …

We state and prove the q-extension of a result due to Johnston and Jordaan (cf. Johnston
and Jordaan (2015)) and make use of this result, the orthogonality of q-Laguerre, little q …

This paper deals with monic orthogonal polynomials orthogonal with a perturbation of
classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner …

This chapter is devoted to the interlacing properties, the quasi-orthogonality of classical q-
orthogonal polynomials. The bounds of their extreme zeros are also given. The results of this …

arXiv:1805.08954v1 [math.CA] 23 May 2018 Page 1 Symmetry, Integrability and Geometry:
Methods and Applications SIGMA 14 (2018), 051, 26 pages Quasi-Orthogonality of Some …