Results 81 to 90 of about 17,253 (231)

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

Multiple elliptic hypergeometric series. An approach from the Cauchy determinant [PDF]

, 2003
A multiple generalization of elliptic hypergeometric series is studied through the Cauchy determinant for the Weierstrass sigma function. In particular, a duality transformation for multiple hypergeometric series is proposed. As an application, two types
Noumi, Masatoshi, Masatoshi Noumi, Kajihara, Yasushi, Yasushi Kajihara   +3 more
core   +1 more source

Generalized Fractional Integral Formulas for the k-Bessel Function

Journal of Mathematics, 2018
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
doaj   +1 more source

A small‐angle scattering model for broad correlation peaks and small diffuse scattering

Journal of Applied Crystallography, EarlyView.
For porous and/or bicontinous structures with rather broad correlation peaks and small diffuse scattering, a heuristic theory makes the connection to conditions of material production.Porous and/or bicontinuous structures often display a pronounced correlation peak in their small‐angle scattering that indicates a preferred domain spacing d.
Henrich Frielinghaus
wiley   +1 more source

TcALS knockdown accelerates metamorphosis via insulin signaling in Tribolium castaneum

Insect Science, EarlyView.
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, Jie Chen, Zi‐Ye Wang, Fei‐Feng Wang, Lu‐Lu Dong, Jun Pan, Min‐Er Li, Lin Yu, Wen Sang   +8 more
wiley   +1 more source

On A Claim Of Ramanujan About Certain Hypergeometric Series [PDF]

, 2006
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hypergeometric series is summed in closed form. Although Ramanujan published no papers on hypergeometric series, chapters 10 and 11 of his second notebook [5]
David Bradley
core   +1 more source

Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples

Partial Differential Equations in Applied Mathematics
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their ...
Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani   +4 more
doaj   +1 more source

Comparison of Three Sympatric Desert Lizards: Digestive Tract Structure, Digestive Enzyme Activities, Gut Microbiota, and Metabolites

Integrative Zoology, EarlyView.
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

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

The Hadamard product of hypergeometric series [PDF]

, 2002
Typically a hypergeometric function is a multi-valued analytic function with algebraic singularities. In this paper we give a complete description of the Newton polytope of the polynomial whose zero set naturally contains the singular locus of a ...
Timour Sadykov, Sadykov, Timour
core   +1 more source