Results 91 to 100 of about 5,079 (264)

Sharp bounds for gamma and digamma function arising from Burnside's formula

Journal of Numerical Analysis and Approximation Theory, 2010
The main aim of this paper is to improve the Burnside's formula for approximating the factorial function. We prove the complete monotonicity of a function involving the gamma function to establish new lower and upper sharp bounds for the gamma and ...
Cristinel Mortici
doaj   +2 more sources

Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions

Journal of Mathematical Analysis and Applications, 2007
Recently, several authors have studied the monotonicity properties of functions such as \(\psi(x)= \Gamma'(x)/\Gamma(x)\,.\) See, for instance, [\textit{H. Alzer, C. Berg}, ``Some classes of completely monotonic functions. II.'' Ramanujan J. 11, 225--248 (2006; Zbl 1110.26015), \textit{N. Batir}, J. Math. Anal. Appl.
openaire   +1 more source

Hierarchical Cellulose/MXene Aerogel Films with Coral‐Like Polyaniline Skin for Absorption‐Led Broadband EMI Shielding

Advanced Functional Materials, EarlyView.
A regenerated cellulose/MXene aerogel film is engineered with a surface‐confined, coral‐like polyaniline skin to intensify interfacial polarization while a porous, percolated conductive core is retained. By molten salt hydrate processing and interfacially confined oxidative polymerization, PANI growth is localized at the outer surface and internal ...
Kun Liu, Haishun Du, Ting Xu, Chuanling Si, Xuejun Pan   +4 more
wiley   +1 more source

Multi‐Functional ZnO–Te Heterojunction Devices Enabling Compact Frequency Quadrupler

Advanced Functional Materials, EarlyView.
Wafer‐scale ZnO–Te heterojunction devices featuring tunable double negative differential transconductance (D‐NDT) are demonstrated at ≤ 200°C. Leveraging this unique characteristic, a single‐stage frequency quadrupler is realized, achieving a 64%–75% reduction in device count.
Jae Hyeon Jun, Byeong Gwan Kim, Min Seo Kang, Ui Gwan Shin, Minjae Kim, Kiyung Kim, Hae‐Won Lee, Yongsu Lee, Byoung Hun Lee   +8 more
wiley   +1 more source

Precise Control of Drug Release in Machine Learning‐Designed Antibody‐Eluting Implants for Postoperative Scarring Inhibition in Glaucoma

Advanced Healthcare Materials, EarlyView.
We developed a micro‐sized, biocompatible implant for postoperative sustained delivery of anti‐fibrotic antibodies in glaucoma surgery. Machine learning‐guided optimization of polymer composition, implant geometry, and porosity enabled precise control of drug release.
Mengqi Qin, Wenbing Jiang, Kai Xin Thong, Zeynep Ulker, Brihitejas Patel, Cynthia Yu‐Wai‐Man   +5 more
wiley   +1 more source

Melt Electrowriting High Resolution Poly(ethylene‐co‐vinyl acetate) Scaffolds for Soft Tissue Engineering

Advanced Healthcare Materials, EarlyView.
This work pioneers melt electrowriting (MEW) of polyethylene vinyl acetate (PEVA) to fabricate ultra‐compliant, high‐resolution scaffolds. By integrating microscale precision with soft tissue‐like biomechanics, PEVA overcomes stiffness‐driven limitations of conventional MEW polymers, establishing a mechanically biomimetic platform for soft tissue ...
Finn Snow, Darcy De Rauch, Lilith Mabel Caballero Aguilar, Darcy Millett, Jasley Wilding McBride, David R Nisbet, Magdalena Kita, Elena Pirogova, Robert Michail Ivan Kapsa, Anita Quigley   +9 more
wiley   +1 more source

REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION

Проблемы анализа, 2015
In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp.
F. Qi, B. N. Guo
doaj  

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Completely and logarithmically completely monotone functions

27 pages (accepted version, corrected some errors in version 2, and given new results, changed the title to Completely monotone functions in general and some applications )
openaire   +2 more sources

Taming the Immiscibility of Gold, Iron, and Boron to Craft Chemodegradable Nanoparticles for Multimodal Imaging and Radiotherapy

Advanced Healthcare Materials, EarlyView.
Over half of cancer patients undergo radiotherapy. Laser ablation enabled the synthesis of immiscible Au‐Fe‐B nanoparticles designed as degradable bimodal radiosensitizers for X‐ray radiotherapy (XRT), boron neutron capture therapy (BNCT), and bimodal imaging for X‐ray computed tomography (CT) and magnetic resonance imaging (MRI). These nanosensitizers
Michael Bissoli, Clara M.G. de Faria, Veronica Torresan, Maria Assunta Lacavalla, Mattia Cattelan, Denis Badocco, Paolo Pastore, Pasquina Marzola, Laura Cansolino, Cinzia Ferrari, Ian Postuma, Riccardo Vago, Silva Bortolussi, Antonello E. Spinelli, Daniel Forrer, Vincenzo Amendola   +15 more
wiley   +1 more source