Results 51 to 60 of about 6,721 (141)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
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A dimensionally continued Poisson summation formula
, 2011 We generalize the standard Poisson summation formula for lattices so that it operates on the level of theta series, allowing us to introduce noninteger dimension parameters (using the dimensionally continued Fourier transform).
A. Córdoba +39 more
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The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Numerical Evaluation Of the Oscillatory Integral over exp(i*pi*x)*x^(1/x) between 1 and infinity [PDF]
, 2010 Real and imaginary part of the limit 2N->infinity of the integral int_{x=1..2N} exp(i*pi*x)*x^(1/x) dx are evaluated to 20 digits with brute force methods after multiple partial integration, or combining a standard Simpson integration over the first ...
Mathar, Richard J.
core
Autonomous Sensing Architected Materials
Advanced Functional Materials, Volume 35, Issue 11, March 11, 2025.This study introduces an experimentally informed predictive framework for autonomous sensing architected materials enabled by additive manufacturing, integrating theoretical and computational methods. By incorporating stress‐dependent electrical resistivity and accounting for material, geometric, and contact nonlinearities, the framework accurately ...
Mattia Utzeri +2 more
wiley +1 more source
A Note on the Local Observability of Uniform Hypergraphs
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
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The Journal of Physiology, Volume 603, Issue 7, Page 2119-2138, 31 March 2025.Abstract figure legend The intrinsic cardiac nervous system regulates the beat‐to‐beat function of the heart. Hodgkin–Huxley ion channel models from literature were selected based on the ion channels found in single‐neuron transcriptomic data. The transcriptomic data were binarized to confer combinations of ion channel presence or absence for each ...
Suranjana Gupta +8 more
wiley +1 more source
Widespread and Diverging Patterns of Change in Local Phylogenetic Diversity
Diversity and Distributions, Volume 31, Issue 2, February 2025.ABSTRACT Aim Ecosystems are witnessing drastic changes in biodiversity worldwide. However, it is still unclear whether changes in phylogenetic diversity—a measure of the evolutionary relationships among species—reflect observed changes in species richness.
Philippe Fernandez‐Fournier +3 more
wiley +1 more source
Normal gravity field in relativistic geodesy
, 2018 Modern geodesy is subject to a dramatic change from the Newtonian paradigm to Einstein's theory of general relativity. This is motivated by the ongoing advance in development of quantum sensors for applications in geodesy including quantum gravimeters ...
Han, Wen-Biao +2 more
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Smoothing of the Higher‐Order Stokes Phenomenon
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT For over a century, the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989, Berry demonstrated it is possible to smooth this discontinuity in broad classes of problems with the prefactor for the exponentially small contribution switching on/off taking a universal error ...
Chris J. Howls +3 more
wiley +1 more source