Results 41 to 50 of about 3,871 (189)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +1 more source

Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables

Journal of Probability and Statistics, 2020
In this paper, we derive the cumulative distribution functions (CDF) and probability density functions (PDF) of the ratio and product of two independent Weibull and Lindley random variables.
N. J. Hassan, A. Hawad Nasar, J. Mahdi Hadad   +2 more
doaj   +1 more source

Lot Acceptance Under Inspection Errors: Benefits of Multiple‐Inspector Sampling Versus Single‐Inspector 100% Inspection

Quality and Reliability Engineering International, EarlyView.
ABSTRACT In high‐value and safety‐critical manufacturing contexts (e.g., aerospace, nuclear and defense sectors), reliable and robust conformity assessment of production lots is imperative. While 100% inspection by a single inspector may seem like a solution for this purpose, it can be prone to human error, which can distort lot acceptance decisions ...
Domenico A. Maisano, Lucrezia Ferrara, Fiorenzo Franceschini   +2 more
wiley   +1 more source

Generalized Euler integrals and A-hypergeometric functions

Advances in Mathematics, 1990
In their previous works the authors have introduced a holonomic system of linear differential equations associated to a certain finite set \(A\subset \mathbb{Z}^ n\). They called this system the \(A\)-hypergeometric system, and its solutions the \(A\)-hypergeometric functions.
Gelfand, I.M, Kapranov, M.M, Zelevinsky, A.V   +2 more
openaire   +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

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
doaj   +1 more source

Impact of G‐CSF on Donor TCR Clonal Diversity and T Cell Function During Donor HSC Mobilisation

Cell Proliferation, EarlyView.
In this study, we found that G‐CSF mobilisation caused a reduction in TCR clonal diversity and down‐regulation of T‐cell function in donors. This may be one of the reasons for the low incidence of GVHD mediated by G‐CSF after allo‐HSCT. Source: Created in BioRender. Li https://BioRender.com/otownki.
Xinye Li, Zhixi Chen, Jie Chen, Xingwei Zhang, Jiamian Zheng, Zirui Liu, Meixue Pan, Yue Li, Bo Yu, Shaohua Chen, Jing Lai, Xianfeng Zha, Liye Zhong, Yikai Zhang, Yangqiu Li   +14 more
wiley   +1 more source

An Explanation of Mellin’s 1921 Paper

Известия Иркутского государственного университета: Серия "Математика", 2023
In 1921 Mellin published a Comptes Rendu paper computing the principal solution of a polynomial using generalized hypergeometric functions of its coefficients. He used an integral transform nowadays bearing his name.
W. M. Lawton
doaj   +1 more source

On Hypergeometric Functions and Generalizations of Legendre's Relation

Journal of Mathematical Analysis and Applications, 2001
The authors consider a function introduced by \textit{G. D. Anderson}, \textit{S.-L. Qiu}, \textit{M. K. Vamanamurthu} and \textit{M. Vuorinen} [Pac. J. Math. 192, No. 1, 1-37 (2000; Zbl 0951.33012)], viz., \[ \begin{multlined} {\mathcal L}(a,b,c,r)= {_2F_1}[a- 1,b; c;r]{_2F_1}[a, b;c; 1-r]+ {_2F_1}[a- 1,b; c;1-r]{_2F_1}[a, b;c,r]-\\ {_2F_1}[a, b;c,r ...
Karatsuba, E.A, Vuorinen, M
openaire   +3 more sources