Results 71 to 80 of about 37,974 (263)

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

New Harmonic Number Series

AppliedMath
Based on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived. A high point of the presentation is the rediscovery, by much simpler means, of a famous quadratic Euler sum originally discovered in 1995 by ...
Kunle Adegoke, Robert Frontczak
openaire   +3 more sources

Risk Prediction Models for Recurrence After Curative Treatment of Early‐Stage or Locally Advanced Lung Cancer: A Systematic Review

Aging and Cancer, EarlyView.
This systematic review synthesizes prognostic models for survival and recurrence in resected non‐small cell lung cancer. While many models demonstrate moderate to good discrimination, few are externally validated and reporting quality is variable, limiting clinical applicability and highlighting the need for robust, transparent model development ...
Evangeline Samuel, S. Tissera, E. Paul, J. Zalcberg, R. G. Stirling   +4 more
wiley   +1 more source

Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini, Alessia Casarini, Niccolò Biagioli, Laura Mirandola, Daniela Ballotta, Paul Summers, Simona Scolastico, Laura Madrassi, Maurilio Genovese, Marcella Malagoli, Gaetano Cantalupo, Giada Giovannini, Matteo Pugnaghi, Niccolò Orlandi, Laura Tassi, Valeria Cuccarini, Domenico Aquino, Elena Tartara, Fulvia Palesi, Giuseppe Didato, Paolo Vitali, the 3TLE Study Group, Roberta Di Giacomo, Fabio Doniselli, Federica Mazzi, Carlo Andrea Galimberti, Claudia A. M. Gandini Wheeler‐Kingshott, Stefano Meletti, Anna Elisabetta Vaudano   +28 more
wiley   +1 more source

Innate Immune Reprogramming Mediated by Endogenous Retroelement Dysregulation Drives Multiple Sclerosis Progression

Annals of Clinical and Translational Neurology, EarlyView.
Epigenetic reprogramming in hematopoietic stem and progenitor cells (HSPCs) and downstream myeloid cells, mediated by H3.3 downregulation and endogenous retroelement (ERE) overexpression, contributes to the progression of multiple sclerosis (MS). ABSTRACT Background Skewed myelopoiesis in the bone marrow has been identified as a key driver of multiple ...
Li‐Mei Xiao, Qiu‐Ping Zhao, Run‐Yun Li, Wei Chen, Huan‐Huan Song, Wan‐Jin Chen, Ying Fu   +6 more
wiley   +1 more source

Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants

Annals of Clinical and Translational Neurology, EarlyView.
Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants. ABSTRACT Objective Return of disease activity is expected when patients discontinue disease‐modifying therapy (DMT) for multiple sclerosis (MS). Some MS DMTs are associated with higher‐than‐expected disease activity (rebound) after discontinuation.
Ralf Gold, Krzysztof W. Selmaj, Regina Berkovich, Jeffrey A. Cohen, Giancarlo Comi, Eva K. Havrdová, James K. Sheffield, Hetal Desai, Chun‐Yen Cheng, Jon V. Riolo, Andrew Thorpe, Erik DeBoer, Bruce A. C. Cree   +12 more
wiley   +1 more source

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone, Freddy Chafota, Miguel E. Rentería, Randi J. Hagerman, Ellery Santos, Anna Atkinson, Nicholas G. Martin, Elsdon Storey, Danuta Z. Loesch   +8 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

On the denominators of harmonic numbers

Comptes Rendus. Mathématique, 2018
Let H n be the n -th harmonic ...
Wu, Bing-Ling, Chen, Yong-Gao
openaire   +3 more sources