Results 91 to 100 of about 1,565,058 (384)
Toolbox of Para-differential Calculus on Compact Lie Groups [PDF]
arXiv, 2023 This paper provides a toolbox of para-differential calculus on compact Lie groups. The toolbox is based on representation theory of compact Lie groups and contains exact formulas of symbolic calculus. Para-differential operators are constructed in a global, coordinate-free manner, giving lower order terms in symbolic calculus a clear form.
arxiv
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
wiley +1 more source
Mathematical Modelling and Analysis, 2018 An operator-based approach for the construction of closed-form solutions to fractional differential equations is presented in this paper. The technique is based on the analysis of Caputo and Riemann-Liouville algebras of fractional power series. Explicit
Zenonas Navickas +4 more
doaj +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 +5 more
doaj +1 more source
Mikusiński's Operational Calculus with Algebraic Foundations and Applications to Bessel Functions [PDF]
arXiv, 2013 We construct an operational calculus supported on the algebraic operational calculus introduced by Bengochea and Verde. With this operational calculus we study the solution of certain Bessel type equations.
arxiv
Operators of Fractional Calculus and Their Applications [PDF]
Mathematics, 2018 n ...
openaire +5 more sources
Molecular Oncology, EarlyView.Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley +1 more source
A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions
Advances in Difference Equations, 2021 In the present paper, by using the concept of convolution and q-calculus, we define a certain q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions.
Bilal Khan +5 more
doaj +1 more source
Extended finite operator calculus as an example of algebraization of analysis [PDF]
Bulletin of the Allahabad Mathematical Society vol. 19, 2005, 1-24, 2008 A calculus of sequences started by professor morgan ward constitutes the general scheme for extensions of classical operator calculus of the distinguished gian carlo rota considered by many afterwards and after ward morgan. Because of the historically now established notation we call the wardian calculus of sequences in its afterwards elaborated form a
arxiv
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source