Results 91 to 100 of about 1,656,816 (274)

The problem of convergence of branched continued fractions

Using the tails of the approximants of continued fractions and their multidimensional generalizations, branched continued fractions, canonical numerators and denominators have been defined, and the conditions for the degeneracy of approximants have been ...
O.S. Bodnar, O.S. Kondur, S.V. Sharyn, D.I. Bodnar, I.B. Bilanyk, O.B. Salamakha   +5 more
core   +1 more source

Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series

, 2023
The main objects of the investigation presented in this paper are branched-continued-fraction representations of ratios of contiguous hypergeometric series and type II multiple orthogonal polynomials on the step-line with respect to linear functionals or
Lima, Hélder
core  

From Fiber Bundles to Architected Membranes: Triply Periodic Minimal Surface Architectures for Biohybrid Artificial Lungs

Advanced Materials, EarlyView.
Additively manufactured triply periodic minimal surface (TPMS) membranes offer an architecture‐driven alternative to hollow fiber bundles in artificial lungs. Multiphysics simulations and endothelialized prototypes show that the 3D‐printable membrane architecture improves gas exchange, blood flow distribution, and hemocompatibility, enabling ...
Michael Pflaum, Kai P. Barbian, Florian Neuhaus, Gerrit Sitarz, Carolin Nölke, Sebastian V. Jansen, John Linkhorst, Lukas T. Hirschwald, Sebastian Brosch, Christian Certa, Ulrich Steinseifer, Matthias Wessling, Jutta Arens, Arjang Ruhparwar, Bettina Wiegmann   +14 more
wiley   +1 more source

Soft Skins With Reversible Thickness Morphing: Materials, Mechanisms, and Applications

Advanced Materials, EarlyView.
Evolution of electronic skin (e‐skin) technologies toward adaptive, multifunctional soft skins. Phase I highlights early rigid and discrete sensory interfaces. Phase II shows the transition toward flexible, stretchable, and large‐area e‐skin. Phase III captures the emergence of computational e‐skin.
Oliver Ozioko, Chiamaka Akah, Ravinder Dahiya   +2 more
wiley   +1 more source

On Analytical Continuation of the Horn’s Hypergeometric Functions H₃ and Their Ratios

Axioms
This paper considers the Horn’s hypergeometric function H3, which is closely related to other hypergeometric functions and has various mathematical or physical applications.
Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun   +2 more
doaj   +1 more source

Review of Inorganic Separator Engineering for Next‐Generation Lithium–Sulfur Batteries: Compromise or Cornerstone?

Advanced Materials, EarlyView.
Inorganic compound‐modified separators transform lithium–sulfur batteries from passive polysulfide confinement to active reaction‐pathway regulation. A Practical Relevance Index (PRI)‐guided framework bridges interfacial chemistry of inorganic separators with practical constraints, establishing unified design principles for scalable, high‐energy ...
Yuting Qin, Tianyi Wang, Xingyu Wang, Kaifu Xu, Yuzhou Wang, Chengyin Wang, Bing Sun, Guoxiu Wang   +7 more
wiley   +1 more source

On Analytical Extension of Generalized Hypergeometric Function ₃F₂

Axioms
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is used, according to which the domains of the analytical continuation of the special functions are ...
Roman Dmytryshyn, Volodymyra Oleksyn
doaj   +1 more source

2D Abrupt Nano‐Junctions Blending sp–sp2 Bonds on Atomically Precise Heterostructures

Advanced Materials, EarlyView.
A lateral heterostructure between atomically precise sp–sp2$^2$ metalated graphdiyne and sp2$^2$ graphene nanoribbons is realized by on‐surface synthesis and investigated by STM and DFT. The impact of on‐surface synthesis byproducts on covalent junction formation yield is unveiled.
Alice Cartoceti, Simona Achilli, Masoumeh Alihosseini, Adriana E. Candia, Enrico Beltrami, Paolo D'Agosta, Alessio Orbelli Biroli, Francesco Sedona, Andrea Li Bassi, Jorge Lobo‐Checa, Carlo S. Casari   +10 more
wiley   +1 more source

Numerical stability of branched continued fraction expansions of Lauricella–Saran’s hypergeometric function F K ratios

Demonstratio Mathematica
The paper considers the numerical stability of the backward recurrence algorithm for computing approximants of branched continued fraction expansions for the Lauricella–Saran’s hypergeometric function F K ratios.
Dmytryshyn Roman, Goran Vitaliy
doaj   +1 more source

On the Domain of Analytical Continuation of the Ratios of Generalized Hypergeometric Functions ₃F₂

Axioms
The paper considers the problem of the analytical extension of the ratios of generalized hypergeometric functions F23 A new domain of analytic continuation for these ratios under certain conditions to parameters is established.
Roman Dmytryshyn, Marta Dmytryshyn, Sofiia Hladun   +2 more
doaj   +1 more source