Results 51 to 60 of about 3,332 (213)

On the spectral properties of a difference operator with incommensurable shifts on a finite interval

Современная математика: Фундаментальные направления
The paper studies the spectral problem for a difference operator with incommensurable shifts on a finite interval. Such operators arise in the analysis of boundary value problems for differential-difference equations. The spectral problem is investigated
A. S. Kirilenko
doaj   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source

Perturbed Dirichlet Series and the Difference Operator

Axioms
The most well-known perturbed Dirichlet series is the Hurwitz zeta-function. Its analytic continuation via the binomial expansion has been studied extensively, beginning with Wilton’s work.
Nianlian Wang, Jay Mehta, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]

Mathematica Moravica
In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
doaj   +1 more source

A note on Nakano generalized difference sequence space

Advances in Difference Equations, 2020
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

A NOTE ON q-DIFFERENCE OPERATORS

Communications of the Korean Mathematical Society, 2002
Summary: We present a \(q\)-analogue of the Newton's forward-difference interpolation formula and relate the \(q\)-beta function and the \(q\)-gamma function by the \(q\)-difference operators.
Kim, Min-Soo, Son, Jin-Woo
openaire   +3 more sources

Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős   +2 more
wiley   +1 more source

Certain Families of Analytic Functions Characterized by p,q-Difference Operator

Journal of Mathematics, 2022
The major motivation behind this work is to utilize p,q-calculus and inspected the generalized p,q-Ruscheweyh differential operator. At the present time, we utilized p,q-Ruscheweyh differential operator and examined some new subfamilies of S and study ...
Rashid Murtaza, null Adnan, Amna Aziz, Abdulaziz H. Alghtani, Ilyas Khan, Mulugeta Andualem   +5 more
doaj   +1 more source

Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding

FEBS Letters, EarlyView.
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança, Eline L. Jansen, Jorine M. Eeftens   +2 more
wiley   +1 more source

Spectral Theory from the Second-Order q-Difference Operator

International Journal of Mathematics and Mathematical Sciences, 2007
Spectral theory from the second-order q-difference operator Δq is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application, we give an analogue of the Poincare inequality.
Lazhar Dhaouadi
doaj   +1 more source