Results 61 to 70 of about 5,713 (273)

Symmetric and generating functions of generalized (p,q)-numbers

Kuwait Journal of Science, 2021
In this paper, we will firstly define a new generalization of numbers (p, q) and then derive the appropriate Binet's formula and generating functions concerning (p,q)-Fibonacci numbers, (p,q)- Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q)-Jacobsthal numbers and (p,q)-Jacobsthal Lucas numbers.
Nabiha Saba, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
openaire   +3 more sources

Extensions and generalizations of a theorem of Widder and of the theory of symmetric local semigroups

, 1984
The theory of symmetric local semigroups due to A. Klein and L. Landau (J. Funct. Anal.44 (1981), 121–136) is generalized to semigroups indexed by subsets of Rn for n > 1. The result implies a similar result of A. E. Nussbaum (J. Funct.
David S. Shucker
semanticscholar   +1 more source

SPG4 and Dementia: Expanding the Clinical Spectrum

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Hereditary spastic paraplegia (HSP) is a group of disorders characterized by progressive spasticity and lower limb weakness, with mutations in SPG4/SPAST being the most common cause. Detailed studies and clinical and molecular comparisons across different populations are missing.
Emanuele Panza, Arun Meyyazhagan, Eliseo Picchi, Gustavo Ribas, Ingrid Faber, Ryosuke Miyamoto, Preethi Basavaraju, Paolo Eusebi, Haripriya Kuchi Bhotla, Mario Stasi, Fabrizio Gaudiello, Francesco Patti, Filippo Maria Santorelli, Marcondes Cavalcante França Jr, José Luiz Pedroso, Orlando Graziani Povoas Barsottini, Hélio Afonso Ghizoni Teive, Peter Henry St George‐Hyslop, Toshitaka Kawarai, Antonio Orlacchio   +19 more
wiley   +1 more source

Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations

Boundary Value Problems
This paper presents a new approach to analyze the market equilibrium and economic growth via enriched ( S ˚ , θ , Z ) $(\mathring{\mathscr{S}}, \theta , \mathscr{Z})$ -contractions and their generalizations.
Mati ur Rahman, Muhammad Asif, Nehad Ali Shah, Muhammad Din   +3 more
doaj   +1 more source

RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu, Xin Duan, Fatemeh Peymani, Jia Wang, Chengjia Bao, Chaolong Xu, Ying Zou, Zixuan Zhang, Yunxi Zhang, Tongyue Li, Martin Pavlov, Junling Wang, Minhan Song, Tianyu Song, Xiaodi Han, Mingxi Sun, Danmin Shen, Ruoyu Duan, Huafang Jiang, Manting Xu, Holger Prokisch, Fang Fang   +21 more
wiley   +1 more source

Symmetric functionals on simply generated symmetric spaces

Journal of Mathematical Analysis and Applications
In the present paper we suggest a construction of symmetric functionals on a large class of symmetric spaces over a semifinite von Neumann algebra. This approach establishes a bijection between the symmetric functionals on symmetric spaces and shift-invariant functionals on the space of bounded sequences.
Levitina, Galina, Usachev, Alexandr
openaire   +2 more sources

Symmetric generating functions and Euler–Stirling statistics on permutations

Journal of Combinatorial Theory, Series A, 2023
25 ...
openaire   +2 more sources

White Matter Hyperintensity Burden and Short‐Interval Change Associated With Sleep Apnoea in the UK Biobank

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Purpose White matter hyperintensities (WMH) are a core neuroimaging marker of cerebral small vessel disease (CSVD). Sleep apnoea (SA) is a recognized vascular risk factor, but its associations with regional WMH burden, short‐interval WMH change and cognitive performance in population‐based cohorts remain incompletely defined. We
Peng Cheng, Diego Z. Carvalho, Shahid Karim, Anwar Chahal, Virend K. Somers   +4 more
wiley   +1 more source

Freezing and BPS jumping

Journal of High Energy Physics
We report a novel BPS jumping phenomenon of 5d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories whose brane configuration is equipped with an O7-plane.
Sung-Soo Kim, Xiaobin Li, Satoshi Nawata, Futoshi Yagi   +3 more
doaj   +1 more source

A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems [PDF]

Integral Transforms and Special Functions, 2007
17 ...
openaire   +2 more sources