Results 51 to 60 of about 235,552 (326)

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

Proportion of Acceptable Symptom State Nearly Tripled With Improvements in Patient‐Reported Outcomes for All Symptom State Subgroups: A Registry Study of More Than 15,000 Patients With Osteoarthritis in Digital Education and Exercise Therapy

Arthritis Care &Research, EarlyView.
Objective This study investigated trajectories of patient acceptable symptom state (PASS) among participants of digital education and exercise therapy for knee and hip osteoarthritis. Methods A longitudinal observational study among individuals aged at least 40 years who participated in the digital program.
Ali Kiadaliri, L. Stefan Lohmander, Amanda E. Nelson, Leif E. Dahlberg   +3 more
wiley   +1 more source

Multivariate difference Gončarov polynomials

, 2022
17 ...
Adeniran, Ayomikun, Snider, Lauren, Yan, Catherine   +2 more
openaire   +3 more sources

Heterogeneity of Rheumatoid Arthritis–Associated Interstitial Lung Disease by Longitudinal Forced Vital Capacity Trajectory and Associations With Disease Outcomes

Arthritis Care &Research, EarlyView.
Objective We aimed to identify unique disease trajectories within rheumatoid arthritis–associated interstitial lung disease (RA‐ILD) based on longitudinal forced vital capacity (FVC) values and their associated clinical outcomes. Methods We performed a cohort study of RA‐ILD within the Veterans Health Administration from 1999 to 2021.
Bryant R. England, Yangyuna Yang, Punyasha Roul, Tate M. Johnson, Scott M. Matson, Grant W. Cannon, Brian C. Sauer, Jeffrey R. Curtis, Joshua F. Baker, Ted R. Mikuls   +9 more
wiley   +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

Lie-algebraic discretization of differential equations

, 1995
A certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using $sl_2$-algebra based approach, (quasi)-
Smirnov, Yuri, Turbiner, Alexander
core   +1 more source

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

Arthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy, Lily Waddell, Adam Easterbrook, Jeffrey N. Katz, Cale Jacobs, Morgan Jones, Faith Selzer, Elena Losina, Liana Fraenkel, Nick Bansback   +9 more
wiley   +1 more source

Value Distribution of Certain Type of Difference Polynomials

Abstract and Applied Analysis, 2014
We investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.
Nan Li, Lianzhong Yang
doaj   +1 more source

Matrix continued fractions associated with lattice paths, resolvents of difference operators, and random polynomials [PDF]

, 2023
J. Kim, A. López‐García, Vasiliy A. Prokhorov   +2 more
openalex   +1 more source

Difference inequalities for polynomials in $L_0$

Matematychni Studii, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources