Results 61 to 70 of about 640,777 (319)

Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]

Notes on Number Theory and Discrete Mathematics
We consider a polylogarithm expression containing complex arguments, namely 𝓟±(n)=ℜ(Liₙ((1±i)/2)). The central notion of the present paper is to evaluate the real parts of 𝓟±(n) for first four orders, specifically n = 1,2,3, and 4, by constructing ...
Narendra Bhandari
doaj   +1 more source

In vitro models of cancer‐associated fibroblast heterogeneity uncover subtype‐specific effects of CRISPR perturbations

Molecular Oncology, EarlyView.
Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra, Shamsudheen Karuthedath Vellarikkal, Lixia Li, Hong Sun, Khoa Nguyen, Amber Montano, Suchitra Natarajan, Federica Piccioni, Alex Michael Tamburino, Xin Yu, Aleksandra Katarzyna Olow   +10 more
wiley   +1 more source

Gauss’ Second Theorem for ${}_{2}F_1(1/2)$-Series and Novel Harmonic Series Identities

Mathematics
Two summation theorems concerning the F12(1/2)-series due to Gauss and Bailey will be examined by employing the “coefficient extraction method”. Forty infinite series concerning harmonic numbers and binomial/multinomial coefficients will be evaluated in ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
We find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele, Olamide Esther Salami   +1 more
doaj   +1 more source

Cooper pairing and single particle properties of trapped Fermi gases

, 2002
We calculate the elementary excitations and pairing of a trapped atomic Fermi gas in the superfluid phase. The level spectra and pairing gaps undergo several transitions as the strength of the interactions between and the number of atoms are varied.
A.G. Truscott, B. DeMarco, B. DeMarco, D.A. Butts, F. Schreck, G. M. Bruun, G.M. Bruun, H. Heiselberg, H. Heiselberg, H. Heiselberg, H.T.C. Stoof, K.M. O’Hara, M.A. Baranov   +12 more
core   +1 more source

A unified model for Duchenne muscular dystrophy gene involvement in cancer: context‐dependent tumour suppression and oncogenicity

FEBS Open Bio, EarlyView.
We propose a context‐dependent model where the Duchenne muscular dystrophy (DMD) gene acts as a tumour suppressor in aggressive tumours and as an oncogene in less aggressive ones. We propose this model as a unified framework to explain the opposing survival associations with DMD expression and to guide experimental exploration of the dual role of DMD ...
Lee Machado, Leanne Jones, Sonika Divakar, Michael Naidoo, Karen Anthony   +4 more
wiley   +1 more source

Some results on q-harmonic number sums

Advances in Difference Equations, 2018
In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form ...
Xin Si
doaj   +1 more source

Arithmetic theory of harmonic numbers (II) [PDF]

Colloquium Mathematicum, 2013
For $k=1,2,\ldots$ let $H_k$ denote the harmonic number $\sum_{j=1}^k 1/j$. In this paper we establish some new congruences involving harmonic numbers. For example, we show that for any prime $p>3$ we have $$\sum_{k=1}^{p-1}\frac{H_k}{k2^k}\equiv\frac7{24}pB_{p-3}\pmod{p^2},\ \ \sum_{k=1}^{p-1}\frac{H_{k,2}}{k2^k}\equiv-\frac 38B_{p-3}\pmod{p ...
Lilu Zhao, Zhi-Wei Sun
openaire   +3 more sources

Report on the 2nd MObility for Vesicle research in Europe (MOVE) symposium—2024

FEBS Open Bio, EarlyView.
The 2nd MObility for Vesicle research in Europe (MOVE) Symposium in Belgrade brought over 280 attendees from 28 countries to advance extracellular vesicle (EV) research. Featuring keynotes, presentations, and industry sessions, it covered EV biogenesis, biomarkers, therapies, and manufacturing.
Dorival Mendes Rodrigues‐Junior, Michaela Kocholata, Marilena E. Lekka, Olga Janouskova, Moran Yadid, Maja Kosanovic   +5 more
wiley   +1 more source

Odd Euler Sums and Harmonic Series with Cubic Central Binomial Coefficients in Denominators

Axioms
By means of the coefficient extraction method, we examine a transformation of a classical hypergeometric series. Three classes of infinite series (of convergence rate “1/4”) with harmonic numbers in numerators and cubic central binomial coefficients in ...
Chunli Li, Wenchang Chu
doaj   +1 more source