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Series Expansion Approximants for Singular Functions of Many Variables

Data up to Jan 2025

Published1977
Citations8
References36

Total Citations Per Year

Abstract

References (36)

The renormalization group and the ε expansion

1974 • 4,825 citations

The theory of equilibrium critical phenomena

1967 • 2,331 citations

Quantum critical phenomena

1976 • 2,064 citations

Critical Exponents in 3.99 Dimensions

1972 • 1,547 citations

The renormalization group in the theory of critical behavior

1974 • 1,465 citations

Essentials of Padé approximants

1975 • 1,055 citations

Small distance behaviour in field theory and power counting

1970 • 1,016 citations

Spin Flop, Supersolids, and Bicritical and Tetracritical Points

1974 • 343 citations

Small-distance-behaviour analysis and Wilson expansions

1971 • 329 citations

Application of the Padé Approximant Method to the Investigation of Some Magnetic Properties of the Ising Model

1961 • 308 citations

Scaling approach to anisotropic magnetic systems statics

1969 • 273 citations

Crossover scaling functions for exchange anisotropy

1974 • 257 citations

The Padé approximant in theoretical physics

1970 • 256 citations

Effective critical and tricritical exponents

1974 • 189 citations

Critical Behavior of the Anisotropic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Vector Model

1972 • 169 citations

Rational approximants defined from double power series

1973 • 146 citations

An investigation of the applicability of the Padé approximant method

1961 • 131 citations

The Padé approximant

1961 • 113 citations

Scaling Axes and the Spin-Flop Bicritical Phase Boundaries

1975 • 110 citations

Properties of GdAl<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>near the Spin-Flop Bicritical Point

1975 • 100 citations

Pade Approximants and their Applications

1974 • 95 citations

On a device for computing the 𝑒_{𝑚}(𝑆_{𝑛}) tranformation

1956 • 64 citations

High-Temperature-Series Study of Models Displaying Tricritical Behavior. I. Ferromagnetic Planes Coupled Antiferromagnetically

1973 • 55 citations

Self-Focusing of Electromagnetic Radiation in Semiconductors

1971 • 42 citations

High-Temperature-Series Study of Models Displaying Tricritical Behavior. II. A Nearest-Neighbor Ising Antiferromagnet with Next-Nearest-Neighbor Ferromagnetic Interactions

1973 • 41 citations

Rational approximants defined from power series in N variables

1974 • 41 citations

Monte Carlo Studies of Tricritical Phenomena

1973 • 35 citations

Ising-Model "Metamagnet" and Tricritical Susceptibility Exponent

1972 • 33 citations

Generalizations of the theorem of de Montessus to two-variable approximants

1975 • 25 citations

Critical point phenomena - The role of series expansions

1974 • 25 citations

Tricritical behavior of the Ising antiferromagnet with next-nearest-neighbor ferromagnetic interactions: Mean-field-like tricritical exponents?

1975 • 20 citations

Novel two-variable approximants for studying magnetic multicritical behavior

1977 • 15 citations

Relative scale covariance of N-variable approximants

1975 • 7 citations

New Series Expansion in Statistical Mechanics

1966 • 6 citations

Padé approximants: lectures delivered at a summer school held at the University of Kent, July 1972;

1973 • 3 citations

Generalization and Self-Renormalization of the Wellner Equation

1967 • 2 citations

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