Results 51 to 60 of about 10,679 (261)

A Novel Approach to Calculating the Riemann Mapping Function Using Real-Valued Kernels

Al-Rafidain Journal of Computer Sciences and Mathematics
This paper discusses the general boundary integral equations, Riemann mapping function for bounded simply connected regions whose boundary curves are smooth and analytic, that correspond to a real-valued kernel, and a new boundary integral formula is ...
Shwan Alshatri
doaj   +1 more source

On dual integral equations with Hankel kernel and an arbitrary weight function

International Journal of Mathematics and Mathematical Sciences, 1986
In this paper we deal with dual integral equations with an arbitrary weight function and Hankel kernels of distinct and general order. We propose an operational procedure, which depends on exploiting the properties of the Mellin transforms, and readily ...
C. Nasim
doaj   +1 more source

Integral transform approach to generalized Tricomi equations

Journal of Differential Equations, 2015
We present some integral transform that allows to obtain solutions of the generalized Tricomi equation from solutions of a simpler equation. We used in [13,14],[41]-[46] the particular version of this transform in order to investigate in a unified way several equations such as the linear and semilinear Tricomi equations, Gellerstedt equation, the wave ...
openaire   +2 more sources

ZW4864‐mediated inhibition of the β‐catenin/BCL9/BCL9L complex reveals therapeutic potential in bladder cancer

Molecular Oncology, EarlyView.
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi, Mandy Berndt‐Paetz, Eileen Lerner, Gregoire Najjar, Anca Azoitei, Krishna Pal Singh, Shailendra Kumar Gupta, Olaf Wolkenhauer, Cagatay Günes, Otmar Huber, Marc‐Oliver Grimm, Daniel Steinbach   +11 more
wiley   +1 more source

Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations

Electronic Journal of Differential Equations, 2018
In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi, Iness Jebabli, Elina L. Shishkina, Sergei M. Sitnik   +3 more
doaj  

Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function

Abstract and Applied Analysis, 2014
Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
doaj   +1 more source

Epigenetic silencing of the liver‐specific lncRNA LUNAR promotes liver cancer progression via NOTCH activation

Molecular Oncology, EarlyView.
LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang, Hyung Seok Kim, Geum Ok Baek, Moon Gyeong Yoon, Su In Lee, Jee‐Yeong Jeong, Ji Eun Han, Soon Sun Kim, Jae Youn Cheong, Jung Woo Eun   +9 more
wiley   +1 more source

The application of fourier integral transforms in a general theory of diffraction

Archives of Acoustics, 2016
Integral transforms have frequently been used to solve different specific problems in diffraction. There has, however, been no application of this method to the fundamental equations of diffraction theory. The present author shows that a transition from
Roman WYRZYKOWSKI
doaj  

Translating whole‐genome doubling into precision medicine in cancer

Molecular Oncology, EarlyView.
Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley   +1 more source

Applications of Generalized Integral Transforms

, 2015
Проблематика. Статтю присвячено дослідженню узагальнених інтегральних перетворень, а саме узагальненого інтеграль­ного перетворення Лапласа, узагальненого інтегрального перетворення Стільтьєса.Мета дослідження. Дослідження застосувань нових узагальнень класичних інтегральних перетворень для розв’язання диференціальних, інтегральних рівнянь, обчислення ...
Virchenko, N. O., Chetvertak, M. O.
openaire   +4 more sources