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Zeros of some difference polynomials [PDF]

Advances in Difference Equations, 2013
In this paper, we study zeros of some difference polynomials in f (z) and their shifts, where f (z) is a finite order meromorphic function having deficient value ∞. These results improve previous findings.
Zong-Xuan Chen, Shuangting Lan
openaire   +2 more sources

Schubert polynomial expansions revisited

Forum of Mathematics, Sigma
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau, Hunter Spink, Vasu Tewari   +2 more
doaj   +1 more source

Value Sharing Results for q-Shifts Difference Polynomials

Discrete Dynamics in Nature and Society, 2013
We investigate the zero distribution of q-shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
Yong Liu, Yinhong Cao, Xiaoguang Qi, Hongxun Yi   +3 more
doaj   +1 more source

Multivariate difference Gončarov polynomials

, 2022
17 ...
Adeniran, A., Snider, L., Yan, C.
openaire   +2 more sources

Polynomial solutions of algebraic difference equations and homogeneous symmetric polynomials

Journal of Symbolic Computation, 2021
This article addresses the problem of computing an upper bound of the degree d of a polynomial solution P(x) of an algebraic difference equation of the form G(x)(P(x−τ1),…,P(x−τs))+G0(x)=0 when such P(x) with the coefficients in a field K of characteristic zero exists and where G is a non-linear s-variable polynomial with coefficients in K[x] and G0 is
Olha Shkaravska, Olha Shkaravska, Marko van Eekelen, Marko van Eekelen   +3 more
openaire   +4 more sources

occumb: An R package for site occupancy modeling of eDNA metabarcoding data

Population Ecology, EarlyView.
This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
wiley   +1 more source

Detecting rs‐fMRI Networks in Disorders of Consciousness: Improving Clinical Interpretability

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Preserved resting‐state functional MRI (rs‐fMRI) networks are typically observed in Disorders of Consciousness (DOC). Despite the widespread use of rs‐fMRI in DOC, a systematic assessment of networks is needed to improve the interpretability of data in clinical practice.
Jean Paul Medina Carrion, Mario Stanziano, Ludovico D'Incerti, Davide Sattin, Stefania Ferraro, Davide Rossi Sebastiano, Francesca Giulia Magnani, Alice Deruti, Davide Fedeli, Ludovico Minati, Francesca Epifani, Marina Grisoli, Matilde Leonardi, Maria Grazia Bruzzone, Anna Nigri, Cristina Rosazza   +15 more
wiley   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
doaj   +1 more source

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research, 2010
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj   +1 more source

On factorization of q-difference equation for continuous q-Hermite polynomials

, 2007
We argue that a customary q-difference equation for the continuous q-Hermite polynomials H_n(x|q) can be written in the factorized form as (D_q^2 - 1)H_n(x|q)=(q^{-n}-1)H_n(x|q), where D_q is some explicitly known q-difference operator.
A U Klimyk, Akhiezer N I, Andrews G E, Askey R, Biedenharn L C, Gasper G, Ismail M E H, Koekoek R Swarttouw R F, Koornwinder T H, Kulish P P, Landau L D, M N Atakishiyev, Macfarlane A J, Nikiforov A F, Samsonov B F   +14 more
core   +1 more source