Results 61 to 70 of about 57,073,214 (327)

On the Domain of Analytical Continuation of the Ratios of Generalized Hypergeometric Functions ₃F₂

Axioms
The paper considers the problem of the analytical extension of the ratios of generalized hypergeometric functions F23 A new domain of analytic continuation for these ratios under certain conditions to parameters is established.
Roman Dmytryshyn, Marta Dmytryshyn, Sofiia Hladun   +2 more
doaj   +1 more source

Artificial molecular machines and motors—Design and control of nanoscale motion

FEBS Letters, EarlyView.
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley   +1 more source

Rational approximation to e and to related functions

Journal of Approximation Theory, 1979
AbstractAccording to a well-known result of S. N. Bernstein, ex can be approximated uniformly on [−1, 1] by polynomials of degree ⩽n with an error of the order [2n(n + 1)!]−1. In this note it is shown that the smallest (uniform norm) error in approximating ex by reciprocals of polynomials of degree ⩽n is also of the order [2n(n + 1)!]−1.
Newman, D.J, Reddy, A.R
openaire   +1 more source

Pointwise simultaneous approximation by rational operators [PDF]

, 1991
We obtain pointwise simultaneous approximation estimates for rational operators which are not possible by algebraic ...
Mastroianni, G, G. Mastroianni, DELLA VECCHIA, Biancamaria, Della Vecchia, B   +3 more
core   +1 more source

Circular RNA expression landscapes in myelodysplastic neoplasms: Associations with mutational signatures and disease progression

Molecular Oncology, EarlyView.
In this explorative study, the abundance of circular RNA molecules in bone marrow stem cells was found to be elevated in patients with high‐risk myelodysplastic neoplasms, and to be associated with an increased risk of progression to acute myeloid leukemia.
Eileen Wedge, Morten Tulstrup, Gabriele Todisco, Pedro Moura, Christophe Côme, Jakob Werner Hansen, Jakob Schmidt Jespersen, Balthasar Schlotmann, Maria Creignou, Mette Dahl, Claudia Schöllkopf, Klas Raaschou‐Jensen, Krister Wennerberg, Bo Porse, Joachim Weischenfeldt, Eva Hellström‐Lindberg, Lasse Sommer Kristensen, Kirsten Grønbæk   +17 more
wiley   +1 more source

Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj   +1 more source

Solving Laplace Problems with Corner Singularities via Rational Functions [PDF]

SIAM Journal on Numerical Analysis, 2019
A new method is introduced for solving Laplace problems on 2D regions with corners by approximation of boundary data by the real part of a rational function with fixed poles exponentially clustered near each corner. Greatly extending a result of D.
A. Gopal, L. Trefethen
semanticscholar   +1 more source

Differential expression of cancer‐related genes supports prediction of poor response to first‐line treatments in T‐ALL pediatric patients with high minimal residual disease

Molecular Oncology, EarlyView.
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera, Laura Vela‐Martín, Pablo Fernández‐Navarro, José Luis López‐Lorenzo, Javier Cornago, Pilar Llamas, Eduardo Pérez‐Gómez, José Luis Marín‐Rubio, Manuel Fresno, Javier Santos, José Fernández‐Piqueras, María Villa‐Morales   +11 more
wiley   +1 more source

A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios

Researches in Mathematics
The paper considers the extension of analytic functions by a special family of functions — branched continued fractions. The truncation error bounds for branched continue fraction expansions of the Horn's hypergeometric functions $H_4$ and their ratios ...
R.I. Dmytryshyn, C. Cesarano, M. Dmytryshyn, I.-A.V. Lutsiv   +3 more
doaj   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

Molecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source