Results 121 to 130 of about 40,939 (252)

On the expansion of the Kummer function in terms of incomplete Gamma functions

, 2003
The expansion of Kummer's hypergeometric function as a series of incomplete Gamma functions is discussed, for real values of the parameters and of the variable.
Morosi, Carlo, Pizzocchero, Livio
core  

Expressions for some hypergeometric functions of matrix argument with applications

Journal of Multivariate Analysis, 1975
AbstractReasonably simple expressions are given for some hypergeometric functions when the size of the argument matrix or matrices is two. Applications of these expressions in connection with the distributions of the latent roots of a 2 × 2 Wishart matrix are also given.
openaire   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

From Power‐Law to Correlation‐Time Distributions: A Unified Framework for the Analysis of Nuclear Magnetic Relaxation Dispersion (NMRD) Profiles of Complex Biological Systems

Magnetic Resonance in Chemistry, EarlyView.
1H NMRD profiles of biological systems often follow a power‐law dependence rather than a Lorentzian dispersion. This behavior can arise from a broad distribution of correlation times, weighted by 1/τ 1−α. Validated across diverse systems such as sedimented proteins and biological tissues, this framework provides a physical interpretation of power‐law ...
Giacomo Parigi, Adam Kubrak
wiley   +1 more source

A New Double Weighted Fuzzy Hypergeometric Naive Bayes Network and its Application for User’s Assessment in Virtual Reality Simulators

International Journal of Computational Intelligence Systems
Assessment methods have been used for identify the quality of procedures performed by human beings. In virtual reality simulators, user’s interaction data can be collected and utilized by Single User Assessment Systems (SUAS) to assess the user’s ...
Jodavid Ferreira, Liliane S. Machado, Ronei Marcos de Moraes   +2 more
doaj   +1 more source

Proteomic Changes in Cancer Cell Lines as a Result of Bacterial Infection

PROTEOMICS, EarlyView.
ABSTRACT Bacterial infections have been implicated in shaping the tumor microenvironment (TME), but their effects on cancer cell proteomes remain unexplored. In this study, we analyzed proteomic changes in melanoma (A375) and ovarian cancer (OVCAR3) cell line models following infection with Staphylococcus aureus strain USA300 or Salmonella enterica ...
Bo Ren, Kenneth Weke, Darryl Hardie, Mariya I. Goncheva, Ted Hupp, Javier Antonio Alfaro, Helena Pětrošová, David R. Goodlett   +7 more
wiley   +1 more source

Brain Pericytes and Wnt/β‐Catenin Signaling Induce Functional Blood–Brain Barrier Phenotype in Human iPSC‐Derived Model

Small Methods, EarlyView.
This study shows that human iPSC‐derived endothelial cells acquire a functional blood–brain barrier phenotype when co‐cultured with brain pericytes and stimulated with CHIR‐99021, a Wnt/β‐catenin activator. This model recapitulates key barrier properties, inflammatory responses, and transcriptomic features of the native human BBB, offering new ...
Henrique Nogueira Pinto, Nine R. Kok, Philipp C. Hauger, Manon Karsten‐van Diepen, Michael de Kok, Nanne J. Paauw, Susanne M. A. van der Pol, Joline P. Nugteren‐Boogaard, Peter L. Hordijk, Stephanie D. Beekhuis‐Hoekstra, Susan Gibbs, Nienke M. de Wit, Helga E. de Vries   +12 more
wiley   +1 more source

Combined Transcriptomic and Proteomic Forecast Analyses for Potential Biomarkers of Smoking‐Induced Benign and Malignant Transformation of Vocal Fold Lesions

World Journal of Otorhinolaryngology - Head and Neck Surgery, EarlyView.
ABSTRACT Objective Laryngeal dysplasia and Reinke's edema (RE) are common vocal fold lesions associated with smoking. While the former is cancer prone, most cases of the latter do not undergo malignant transformation. Therefore, we proposed identifying biomarkers of smoking‐induced benign‐malignant transformation of vocal fold lesions.
Yun‐Yi Liu, Pei‐Yun Zhuang
wiley   +1 more source

Decoding Dual Regulatory Layers: Integrating Differential Expression and Alternative Splicing Dynamics in the Evolution of Laryngeal Echolocation Across Chiropteran Lineages

Integrative Zoology, EarlyView.
We integrated short‐read and long‐read RNA‐seq data from cochlear tissues of echolocating and non‐echolocating bats to disentangle transcriptional and post‐transcriptional regulation. Echolocating bats showed neural‐function enrichment among differentially expressed genes, while alternatively spliced genes were linked to epigenetic regulation. Overlaps
Jianyu Wu, Daoyuan Hu, Min Chen, Xiuguang Mao   +3 more
wiley   +1 more source

Composition Formula for Saigo Fractional Calculus Operator on  p R q  Function

International Journal of Mathematics and Mathematical Sciences
In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized  p R q  function. The resulting expressions are represented using generalized Wright hypergeometric functions.
Belete Debalkie, D. L. Suthar
doaj   +1 more source