Results 91 to 100 of about 3,280,717 (275)

Growth of entire solutions of singular initial-value problem in several complex variables

open access: yesElectronic Journal of Differential Equations, 2012
In this article, we characterize the order, type, lower order, and lower type of entire function solutions to a class of singular initial-value problems, in terms of multinomials for $ngeq 2$.
Devendra Kumar, Mohammed Harfaoui
doaj  

Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

open access: yesOpen Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
doaj   +1 more source

Entire Functions of Several Variables: Analogs of Wiman’s Theorem

open access: yesAxioms
This article considers a class of entire functions of several complex variables that are bounded in the Cartesian product of some half-planes. Each such hyperplane is defined on the condition that the real part of the corresponding variable is less than ...
Oleh Skaskiv   +3 more
doaj   +1 more source

Bloch functions in several complex variables. II.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1980
Made available in DSpace on 2014-12-14T13:09:41Z (GMT). No. of bitstreams: 1 7913638.pdf: 4758909 bytes, checksum: 1af7da2445b83fce9e5977d0ae489e65 (MD5) Previous issue date: 1978 ; Embargo set by: Seth Robbins for item 68333 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
openaire   +2 more sources

Sampling of Entire Functions of Several Complex Variables on a Lattice and Multivariate Gabor Frames

open access: yes, 2019
We give a general construction of entire functions in $d$ complex variables that vanish on a lattice of the form $L = A (Z + i Z )^d$ for an invertible complex-valued matrix.
Gröchenig, Karlheinz, Lyubarskii, Yurii
core  

The newfound relationship between extrachromosomal DNAs and excised signal circles

open access: yesFEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2

open access: yesDemonstratio Mathematica
This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
doaj   +1 more source

Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

open access: yesFractal and Fractional
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj   +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

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

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