Results 31 to 40 of about 3,569,062 (330)
Journal of Number Theory, 1980 The author's aim is to study the function \(f(z)=\sum_{n=0}^\infty z^{2^n}\) near its circle of convergence by elementary methods. At first he gives a very simple proof of the non-continuability of \(f(z)\). Next he proves the estimate \[ \left| f(z)-\sum_{n=0}^{N-1} \exp(2^n\theta i)\right|\leq 3, \] uniformly in ...
openaire +2 more sources
Lie Symmetry Analysis for Cosserat Rods [PDF]
, 2014 We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary functions in t.
Gerdt, Vladimir P. +4 more
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Analytical Parameter Estimation of the SIR Epidemic Model. Applications to the COVID-19 Pandemic
Entropy, 2020 The SIR (Susceptible-Infected-Removed) model is a simple mathematical model of epidemic outbreaks, yet for decades it evaded the efforts of the mathematical community to derive an explicit solution.
Dimiter Prodanov
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Algebraic special functions and so(3,2)
, 2012 A ladder structure of operators is presented for the associated Legendre polynomials and the spherical harmonics showing that both belong to the same irreducible representation of so(3,2).
Celeghini, E., del Olmo, M. A.
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Enhancing Stability in Fractional-Order Systems: Criteria and Applications
Fractal and FractionalThis study investigates the stability of fractional-order systems with infinite delay, which are prevalent in many fields due to their effectiveness in modeling complex dynamic behaviors.
Safoura Rezaei Aderyani +3 more
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
Generalized Erdélyi-Kober Fractional Integrals and Images of Special Functions
Fractal and FractionalThe Riemann-Liuoville fractional integrals are the simplest and most popular operators of the classical fractional calculus. But their variants, the Erdélyi-Kober operators of fractional integration, have many more applications due to the freedom to ...
Virginia Kiryakova +1 more
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Growth and form, Lie algebras and special functions
Mathematical Biosciences and Engineering, 2021 The formation of a biological organism, or an organ within it, can often be regarded as the unfolding of successive equilibria of a mechanical system. In a mathematical model, these changes of equilibria may be considered to be responses of mechanically ...
Raghu Raghavan
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Hermitian vector fields and special phase functions
, 2005 We start by analysing the Lie algebra of Hermitian vector fields of a Hermitian line bundle. Then, we specify the base space of the above bundle by considering a Galilei, or an Einstein spacetime.
Abraham R. +14 more
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Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
Population Ecology, EarlyView.We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa +2 more
wiley +1 more source