Results 41 to 50 of about 3,652,736 (266)

Mellin transform of quartic products of shifted Airy functions

open access: yes, 2015
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
core   +1 more source

Professor of mathematics Vytautas Paulauskas (1910–1991) 100 years

open access: yesLietuvos Matematikos Rinkinys, 2010
V. Paulauskas life review. Scientific work. Bibliographical listing.
Henrikas Jasiūnas, Vitolda Verikaitė
doaj   +1 more source

Function‐driven design of a surrogate interleukin‐2 receptor ligand

open access: yesFEBS Letters, EarlyView.
Interleukin (IL)‐2 signaling can be achieved and precisely fine‐tuned through the affinity, distance, and orientation of the heterodimeric receptors with their ligands. We designed a biased IL‐2 surrogate ligand that selectively promotes effector T and natural killer cell activation and differentiation. Interleukin (IL) receptors play a pivotal role in
Ziwei Tang   +9 more
wiley   +1 more source

Special Values of L-functions for Orthogonal Groups

open access: yes, 2016
This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ SO(n, n) over $\mathbb Q$ for an even positive integer n.
Bhagwat, Chandrasheel, Raghuram, A.
core   +1 more source

Conserved structural motifs in PAS, LOV, and CRY proteins regulate circadian rhythms and are therapeutic targets

open access: yesFEBS Letters, EarlyView.
Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman   +2 more
wiley   +1 more source

On computing some special values of hypergeometric functions

open access: yes, 2014
The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to both pure Mathematics and Mathematical Physics.
Ritelli, Daniele   +1 more
core   +1 more source

A representation of Jacobi functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pλ(α,β)(x), −½≤α, β≤½, α+β=0, and λ≥−½. The case α=β=0
E. Y. Deeba, E. L. Koh
doaj   +1 more source

On Determinant Expansions for Hankel Operators

open access: yesConcrete Operators, 2020
Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
doaj   +1 more source

A Method for Reducing Transcendental Dispersion Relations to Nonlinear Ordinary Differential Equations in a Wide Class of Wave Propagation Problems

open access: yesMathematics, 2022
A class of problems of wave propagation in waveguides consisting of one or several layers that are characterized by linear variation of the squared refractive index along the normal to the interfaces between them is considered in this paper.
Andrey Matskovskiy   +2 more
doaj   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

open access: yesFEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka   +11 more
wiley   +1 more source

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