Results 71 to 80 of about 4,179,714 (219)
ABSTRACT Neutrophil extracellular traps (NETs) and inflammatory mediators have been implicated in head and neck squamous cell carcinoma, but their relationship with systemic inflammatory status during radiotherapy remains incompletely understood. This exploratory integrative study combined a literature‐guided network‐based bioinformatic prioritization ...
Eloa Mangabeira Santos +11 more
wiley +1 more source
Contiguous relations of hypergeometric series [PDF]
The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters).
Vidūnas, Raimundas, Vidûnas, R.
core +1 more source
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 +2 more
wiley +1 more source
On Askey’s extension of Clausen’s identity and its polynomial perturbation
The celebrated Clausen’s identity expresses the square of the Gauss hypergeometric series F 1 2 ( a , b ; a + b + 1 / 2 ; x ) ${}_{2}F_{1}(a,b;a+b+1/2;x)$ as a single hypergeometric F 2 3 ${}_{3}F_{2}$ series. Goursat showed in 1883 that replacing 1 / 2 $
Dmitrii Karp, Vinay Shukla
doaj +1 more source
A physicist's guide to the solution of Kummer's equation and confluent hypergeometric functions
The confluent hypergeometric equation, also known as Kummer's equation, is one of the most important differential equations in physics, chemistry, and engineering. Its two power series solutions are the Kummer function, M(a,b,z), often referred to as the
W. N. Mathews Jr. +3 more
doaj +1 more source
TcALS knockdown accelerates metamorphosis via insulin signaling in Tribolium castaneum
RNAi silencing of TcALS accelerates larva‐to‐pupa metamorphosis in Tribolium castaneum. Abstract Insect metamorphosis is an evolutionary adaptation precisely regulated by nutritional and hormonal cues. The red flour beetle Tribolium castaneum, a major stored‐product pest, serves as an excellent model for studying this process.
Min Li +8 more
wiley +1 more source
Inequalities involving hypergeometric and related functions
An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the third parameter distinct versions of the ...
Siegfried H. Lehnigk
doaj +1 more source
We performed 16S rDNA sequencing and metabolite profiling for three sympatric lizard species—Teratoscincus roborowskii, Phrynocephalus axillaris, and Eremias roborowskii—and compared their goblet cell and enzyme activities in the digestive tract. Our study suggests that the dietary niche may promote divergence or convergence of microbiota across host ...
Yi Yang, Ziyi Wang, Ruichen Wu
wiley +1 more source
A sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary +2 more
doaj +1 more source
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 +3 more
wiley +1 more source

