Results 81 to 90 of about 37,250 (282)

Some identities associated with degenerate harmonic and hyperharmonic numbers

Mathematical and Computer Modelling of Dynamical Systems
The study of degenerate versions of special polynomials and numbers has seen significant progress in recent years. In this paper, we establish several identities involving degenerate harmonic and hyperharmonic numbers, which are degenerate versions of ...
Qixiang Wang, Yanan Hei, Dmitry V. Dolgy, Taekyun Kim, Dae San Kim   +4 more
doaj   +1 more source

Harmonic Numbers and Cubed Binomial Coefficients [PDF]

International Journal of Combinatorics, 2011
Euler related results on the sum of the ratio of harmonic numbers and cubed binomial coefficients are investigated in this paper. Integral and closed-form representation of sums are developed in terms of zeta and polygamma functions. The given representations are new.
openaire   +3 more sources

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei, Fredrik Orädd, Konstantinos Magkakis, Magnus Andersson   +3 more
wiley   +1 more source

Acoustic Measures Capture Speech Dysfunction in Spinocerebellar Ataxia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Spinocerebellar ataxias (SCA) are hereditary cerebellar degenerative disorders with a common feature of dysarthria, involving impaired phonatory and articulatory control of speech, thereby affecting social communication. In this study, we investigated whether acoustic measures could objectively measure speech dysfunction and identify
Zena Fadel, Charlotte Hennessey, Hannah Lee, Pia Parekh, Sheng‐Han Kuo, Ami Kumar   +5 more
wiley   +1 more source

Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron, Nicholas E. Clifton, Daniel Cabezas de la Fuente, Peter Holmans, Nicholas J. Bray, Kathryn J. Peall   +5 more
wiley   +1 more source

Shared Genetic Effects and Antagonistic Pleiotropy Between Multiple Sclerosis and Common Cancers

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Epidemiologic studies have reported inconsistent altered cancer risk in individuals with multiple sclerosis (MS). Factors such as immune dysregulation, comorbidities, and disease‐modifying therapies may contribute to this variability.
Asli Buyukkurt, Marius Ygonia, Ali Manouchehrinia, Philippe Lefrançois, Ingrid Kockum, Adil Harroud   +5 more
wiley   +1 more source

Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas, Mauro Monforte, Angel Sanchez‐Montañez, Penélope Romero‐Duque, Elena Pegoraro, Jordi Díaz‐Manera, Dmitry Vlodavets, Lorenzo Maggi, Marco Moscatelli, Adele D‘Amico, Montse Olivé, Jorge Alonso‐Pérez, Giacomo Comi, José Miguel Escudero‐Fernández, Gabriela S. Urcuyo, Anna Pichiecchio, Angela Berardinelli, Kristl G. Claeys, Claudio Bruno, Chiara Panicucci, Sara Bortolani, Eleonora Torchia, Enzo Ricci, Soledad Monges, Jorge A. Bevilacqua, Jorge Diaz‐Jara, Maggie C. Walter, Simone Thiele, Nicoline Løkken, John Vissing, Susana Quijano‐Roy, Robert Y. Carlier, Nicol C. Voermans, Chiara Marini‐Bettolo, Michela Guglieri, Volker Straub, Lea Leonardis, Francina Munell, David Gómez‐Andrés, Giorgio Tasca   +39 more
wiley   +1 more source

An elegant operational matrix based on harmonic numbers: Effective solutions for linear and nonlinear fourth-order two point boundary value problems

Nonlinear Analysis, 2016
This paper analyzes the solution of fourth-order linear and nonlinear two point boundary value problems. The suggested method is quite innovative and it is completely different from all previous methods used for solving such kind of boundary value ...
Waleed M. Abd-Elhameed
doaj   +1 more source

Sums of Powers and Special Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their ...
Boyadzhiev Khristo N.
doaj   +1 more source

Harmonic number identities via polynomials with r-Lah coefficients

Comptes Rendus. Mathématique, 2020
In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
doaj   +1 more source