Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2018, Volume 51, Issue 4, p. 4

We show how to convert divergent series, which typically occur in many applications in physics, into rapidly convergent inverse factorial series. This can be...

Non-perturbative physics | Painlevé | Borel summation | SERIES | PHYSICS, MULTIDISCIPLINARY | Painleve | INSTANTONS | non-perturbative physics | PHYSICS, MATHEMATICAL | PAINLEVE-I | 2D GRAVITY | Physics

Non-perturbative physics | Painlevé | Borel summation | SERIES | PHYSICS, MULTIDISCIPLINARY | Painleve | INSTANTONS | non-perturbative physics | PHYSICS, MATHEMATICAL | PAINLEVE-I | 2D GRAVITY | Physics

Journal Article

Econometrica, ISSN 1468-0262, 2007, Volume 75, Issue 6, pp. 1771 - 1855

... common growth component. This commonality means that when the heterogeneous time varying idiosyncratic components converge over time to a constant, a form of panel convergence holds, analogous to the concept of conditional sigma...

Convergence tests | Cost of living | Null hypothesis | Economic theory | Infinity | Economic transitions | Time series | Economic growth models | Macroeconomics | T tests | relative convergence | common factor | convergence | panel data | log t regression test | Club convergence | transition | Panel data | Log t regression test | Transition | Relative convergence | Common factor | Convergence | RISK | STATISTICS & PROBABILITY | TRENDS | club convergence | RETURN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCOME | GROWTH | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Analysis | Econometric models | Models

Convergence tests | Cost of living | Null hypothesis | Economic theory | Infinity | Economic transitions | Time series | Economic growth models | Macroeconomics | T tests | relative convergence | common factor | convergence | panel data | log t regression test | Club convergence | transition | Panel data | Log t regression test | Transition | Relative convergence | Common factor | Convergence | RISK | STATISTICS & PROBABILITY | TRENDS | club convergence | RETURN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCOME | GROWTH | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Analysis | Econometric models | Models

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2018, Volume 468, Issue 2, pp. 1179 - 1206

We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transformsLν,μαf(r)=rμ∫0∞(rt)νf(t)jα(rt)dt,α≥−1/2,r≥0, where ν,μ∈R are such that 0≤μ+ν≤α+3/2...

Uniform convergence | Hankel transform | General monotonicity | BOAS CONJECTURE | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | SERIES | FOURIER-TRANSFORMS | OPERATORS | Mathematics - Classical Analysis and ODEs

Uniform convergence | Hankel transform | General monotonicity | BOAS CONJECTURE | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | SERIES | FOURIER-TRANSFORMS | OPERATORS | Mathematics - Classical Analysis and ODEs

Journal Article

JOURNAL OF ECONOMIC LITERATURE, ISSN 0022-0515, 03/2020, Volume 58, Issue 1, pp. 129 - 175

.... We conclude that, as a group, they have not and then survey the literature on absolute convergence with particular emphasis on that from the last decade...

TIME-SERIES TESTS | NONPARAMETRIC ANALYSIS | PER-CAPITA | INTERNATIONAL INCOME | ECONOMICS | ECONOMIC-GROWTH | LONG MEMORY | DISTRIBUTION DYNAMICS | INCOME-DISTRIBUTION | BETA-CONVERGENCE | PRODUCTIVITY GROWTH

TIME-SERIES TESTS | NONPARAMETRIC ANALYSIS | PER-CAPITA | INTERNATIONAL INCOME | ECONOMICS | ECONOMIC-GROWTH | LONG MEMORY | DISTRIBUTION DYNAMICS | INCOME-DISTRIBUTION | BETA-CONVERGENCE | PRODUCTIVITY GROWTH

Journal Article

The European physical journal. C, Particles and fields, ISSN 1434-6052, 2018, Volume 78, Issue 4, pp. 1 - 24

...Eur. Phys. J. C (2018) 78:336 https://doi.org/10.1140/epjc/s10052-018-5806-0 Regular Article - Theoretical Physics T owards apparent convergence...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | YANG-MILLS THEORY | GAUGE-THEORIES | FUNCTIONAL RENORMALIZATION | WARD IDENTITY | FLOW EQUATIONS | EVOLUTION EQUATION | SCALING SOLUTIONS | EXACT RENORMALIZATION-GROUP | FIXED-POINTS | ULTRAVIOLET PROPERTIES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Couplings | Fixed points (mathematics) | Asymptotic series | Asymptotic properties | Relativity | Variations | Infrared signatures | Quantum gravity | Convergence | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Astrophysics | High Energy Physics - Theory | Regular - Theoretical Physics

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | YANG-MILLS THEORY | GAUGE-THEORIES | FUNCTIONAL RENORMALIZATION | WARD IDENTITY | FLOW EQUATIONS | EVOLUTION EQUATION | SCALING SOLUTIONS | EXACT RENORMALIZATION-GROUP | FIXED-POINTS | ULTRAVIOLET PROPERTIES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Couplings | Fixed points (mathematics) | Asymptotic series | Asymptotic properties | Relativity | Variations | Infrared signatures | Quantum gravity | Convergence | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Astrophysics | High Energy Physics - Theory | Regular - Theoretical Physics

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 10/2018, Volume 24, Issue 5, pp. 1249 - 1275

... the a.e. convergence $$\sigma _n^{\bigtriangleup }f = \frac{1}{n}\sum _{k=0}^{n-1}S_{k, n-k}f\rightarrow f$$ σn△f=1n∑k=0n-1Sk,n-kf→f ($$n\rightarrow \infty $$ n→∞ ) for each integrable two-variable function f.

Abstract Harmonic Analysis | 42C10 | a.e. convergence | Mathematical Methods in Physics | Triangle Walsh–Paley–Fourier series | Fourier Analysis | Signal,Image and Speech Processing | Approximations and Expansions | Fejér means | Mathematics | Partial Differential Equations | MATHEMATICS, APPLIED | Triangle Walsh-Paley-Fourier series | convergence | Fejer means | DIVERGENCE | SUMMABILITY

Abstract Harmonic Analysis | 42C10 | a.e. convergence | Mathematical Methods in Physics | Triangle Walsh–Paley–Fourier series | Fourier Analysis | Signal,Image and Speech Processing | Approximations and Expansions | Fejér means | Mathematics | Partial Differential Equations | MATHEMATICS, APPLIED | Triangle Walsh-Paley-Fourier series | convergence | Fejer means | DIVERGENCE | SUMMABILITY

Journal Article

Energy economics, ISSN 0140-9883, 2017, Volume 62, pp. 404 - 410

Noting the paucity of studies of convergence in energy consumption across the US states, and the usefulness of a study that shares the spirit of the enormous research on convergence in energy-related...

Stochastic convergence | Energy consumption | Gamma convergence | Kernel density | Beta convergence | LEVEL | OECD COUNTRIES | CARBON-DIOXIDE EMISSIONS | INTENSITY CONVERGENCE | HYPOTHESIS | TIME-SERIES | ECONOMICS | DIVERGENCE | UNIT-ROOT TESTS | DISTRIBUTION DYNAMICS | Discovery and exploration | Analysis | Methods | Convergence (Social sciences)

Stochastic convergence | Energy consumption | Gamma convergence | Kernel density | Beta convergence | LEVEL | OECD COUNTRIES | CARBON-DIOXIDE EMISSIONS | INTENSITY CONVERGENCE | HYPOTHESIS | TIME-SERIES | ECONOMICS | DIVERGENCE | UNIT-ROOT TESTS | DISTRIBUTION DYNAMICS | Discovery and exploration | Analysis | Methods | Convergence (Social sciences)

Journal Article

The Ramanujan journal, ISSN 1572-9303, 2018, Volume 49, Issue 2, pp. 421 - 449

We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence...

Uniform convergence | Basic Fourier expansions | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Third Jackson q -Bessel function | 33D15 | 42C10 | q -Fourier series | Fourier Analysis | Hahn–Exton q -Bessel function | Number Theory | Combinatorics | q -Linear grid | Hahn–Exton q-Bessel function | q-Fourier series | Third Jackson q-Bessel function | q-Linear grid | MATHEMATICS | Hahn-Exton q-Bessel function | Analysis | Research institutes

Uniform convergence | Basic Fourier expansions | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Third Jackson q -Bessel function | 33D15 | 42C10 | q -Fourier series | Fourier Analysis | Hahn–Exton q -Bessel function | Number Theory | Combinatorics | q -Linear grid | Hahn–Exton q-Bessel function | q-Fourier series | Third Jackson q-Bessel function | q-Linear grid | MATHEMATICS | Hahn-Exton q-Bessel function | Analysis | Research institutes

Journal Article

Monatshefte für Mathematik, ISSN 1436-5081, 2017, Volume 187, Issue 3, pp. 509 - 530

We prove convergence in probability for particular sequences defined in terms of the digits appearing in Oppenheim Series expansions and Oppenheim Continued Fractions expansions of real numbers...

Sylvester series expansion | Mathematics | Oppenheim continued fraction expansion | Classical continued fraction expansion | Engel continued fraction expansion | Sylvester continued fraction expansion | Lüroth series expansion | Secondary: 11K55 | Oppenheim series expansion | Mathematics, general | Engel series expansion | Primary: 60F05 | Convergence in probability | MATHEMATICS | Luroth series expansion

Sylvester series expansion | Mathematics | Oppenheim continued fraction expansion | Classical continued fraction expansion | Engel continued fraction expansion | Sylvester continued fraction expansion | Lüroth series expansion | Secondary: 11K55 | Oppenheim series expansion | Mathematics, general | Engel series expansion | Primary: 60F05 | Convergence in probability | MATHEMATICS | Luroth series expansion

Journal Article

Energy economics, ISSN 0140-9883, 2008, Volume 30, Issue 4, pp. 1659 - 1671

...) convergence is accepted based on unit root tests (KPSS and ADF) and a convergence test based on filtered pairwise price relations...

Time series analysis | European integration | Electricity prices | time series analysis | TESTS | TRANSMISSION | HYPOTHESIS | UNIT-ROOT | TIME-SERIES | ECONOMICS | electricity prices | International economic integration | Studies | Producer prices | Auctions | Energy industry | Market prices | Convergence

Time series analysis | European integration | Electricity prices | time series analysis | TESTS | TRANSMISSION | HYPOTHESIS | UNIT-ROOT | TIME-SERIES | ECONOMICS | electricity prices | International economic integration | Studies | Producer prices | Auctions | Energy industry | Market prices | Convergence

Journal Article

2020, ISBN 3030347311, 104

eBook

The Annals of statistics, ISSN 0090-5364, 2/2007, Volume 35, Issue 1, pp. 192 - 223

.... We give general results on the rate of convergence of the posterior measure relative to distances derived from a testing criterion...

Minimax | Density estimation | Spectral energy distribution | Time series | White noise | Markov chains | Entropy | Polynomials | Asymptotics | Density | Perceptron convergence procedure | Covering numbers | Hellinger distance | Independent nonidentically distributed observations | Infinite dimensional model | Rate of convergence | Posterior distribution | Tests | NONPARAMETRIC PROBLEMS | MAXIMUM-LIKELIHOOD | DENSITY-ESTIMATION | rate of convergence | STATISTICS & PROBABILITY | independent nonidentically distributed observations | CONSISTENCY | infinite dimensional model | tests | MODELS | covering numbers | posterior distribution | TIME-SERIES | BERNSTEIN POLYNOMIALS | 62G08 | 62G20

Minimax | Density estimation | Spectral energy distribution | Time series | White noise | Markov chains | Entropy | Polynomials | Asymptotics | Density | Perceptron convergence procedure | Covering numbers | Hellinger distance | Independent nonidentically distributed observations | Infinite dimensional model | Rate of convergence | Posterior distribution | Tests | NONPARAMETRIC PROBLEMS | MAXIMUM-LIKELIHOOD | DENSITY-ESTIMATION | rate of convergence | STATISTICS & PROBABILITY | independent nonidentically distributed observations | CONSISTENCY | infinite dimensional model | tests | MODELS | covering numbers | posterior distribution | TIME-SERIES | BERNSTEIN POLYNOMIALS | 62G08 | 62G20

Journal Article

Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, ISSN 1793-6640, 2019, Volume 33, Issue 4, p. 1950035

...) technique and the convergence of the PSS is investigated. Finally, the conservation laws (Cls) of the model is studied using the multiplier approach.

power series solutions | conservation laws | convergence analysis | Symmetry analysis | FIBERS | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | SINGULAR SOLITONS | DIFFERENTIAL-EQUATIONS | DARK | PHYSICS, MATHEMATICAL | Laws, regulations and rules | Environmental law | Convergence (Social sciences)

power series solutions | conservation laws | convergence analysis | Symmetry analysis | FIBERS | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | SINGULAR SOLITONS | DIFFERENTIAL-EQUATIONS | DARK | PHYSICS, MATHEMATICAL | Laws, regulations and rules | Environmental law | Convergence (Social sciences)

Journal Article

PLoS Biology, ISSN 1545-7885, 12/2006, Volume 4, Issue 12, pp. 2349 - 2360

The dentate gyrus of the hippocampus contains neural progenitor cells (NPCs) that generate neurons throughout life. Developing neurons of the adult hippocampus...

RAT DENTATE GYRUS | NERVOUS-SYSTEM | INDUCED NEUROGENESIS | PERFORANT PATHWAYS | PYRAMIDAL CELLS | BIOCHEMISTRY & MOLECULAR BIOLOGY | BIOLOGY | INTERNEURON DIVERSITY SERIES | STATUS EPILEPTICUS | GRANULE CELLS | SYNAPTIC PLASTICITY | NEWBORN NEURONS | Synaptic Transmission - physiology | Age Factors | Entorhinal Cortex - cytology | Mice, Inbred C57BL | Evoked Potentials - physiology | Neurons - cytology | Electric Conductivity | Hippocampus - cytology | gamma-Aminobutyric Acid - physiology | Action Potentials - physiology | Animals | Neurons - physiology | Mice | Hippocampus - physiology | Hippocampus - growth & development | Neurons | Experiments | Manuscripts | Convergence | Development | Mus (Mouse) | Neuroscience | Physiology

RAT DENTATE GYRUS | NERVOUS-SYSTEM | INDUCED NEUROGENESIS | PERFORANT PATHWAYS | PYRAMIDAL CELLS | BIOCHEMISTRY & MOLECULAR BIOLOGY | BIOLOGY | INTERNEURON DIVERSITY SERIES | STATUS EPILEPTICUS | GRANULE CELLS | SYNAPTIC PLASTICITY | NEWBORN NEURONS | Synaptic Transmission - physiology | Age Factors | Entorhinal Cortex - cytology | Mice, Inbred C57BL | Evoked Potentials - physiology | Neurons - cytology | Electric Conductivity | Hippocampus - cytology | gamma-Aminobutyric Acid - physiology | Action Potentials - physiology | Animals | Neurons - physiology | Mice | Hippocampus - physiology | Hippocampus - growth & development | Neurons | Experiments | Manuscripts | Convergence | Development | Mus (Mouse) | Neuroscience | Physiology

Journal Article

Journal of economic surveys, ISSN 1467-6419, 2003, Volume 17, Issue 3, pp. 309 - 362

This paper surveys the convergence literature. It begins by laying out different definitions of convergence and by showing the link between the convergence issue and the growth theory debate...

Productivity | Economic Growth | Convergence | Economic growth | UNITED-STATES | ENDOGENOUS GROWTH | convergence | economic growth | INTERNATIONAL COMPARISONS | CROSS-SECTION | STOCHASTIC GROWTH-MODELS | DYNAMIC-MODELS | AUTOREGRESSIVE TIME-SERIES | EQUIPMENT INVESTMENT | productivity | PANEL-DATA | ECONOMICS | ECONOMIC-GROWTH

Productivity | Economic Growth | Convergence | Economic growth | UNITED-STATES | ENDOGENOUS GROWTH | convergence | economic growth | INTERNATIONAL COMPARISONS | CROSS-SECTION | STOCHASTIC GROWTH-MODELS | DYNAMIC-MODELS | AUTOREGRESSIVE TIME-SERIES | EQUIPMENT INVESTMENT | productivity | PANEL-DATA | ECONOMICS | ECONOMIC-GROWTH

Journal Article