Geometry of Polynomials

Orthogonal Polynomials

1971 • 9,198 citations

Functional Analysis and Semi-groups

1996 • 4,058 citations

Stability and Asymptotic Behavior of Differential Equations.

1968 • 1,455 citations

Aufgaben und Lehrsätze aus der Analysis

1964 • 730 citations

Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

1949 • 402 citations

A Recurring Theorem on Determinants

1949 • 307 citations

On the Distribution of Roots of Polynomials

1950 • 253 citations

Limits for the characteristic roots of a matrix. III

1948 • 214 citations

On Some Inequalities for Polynomials in Several Variables

1962 • 168 citations

Inequalities concerning polynomials in the complex domain

1947 • 110 citations

Note on bounds for determinants with dominant principal diagonal

1952 • 101 citations

Matrices with Prescribed Characteristic Roots and Diagonal Elements

1958 • 98 citations

Über die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichung

1916 • 96 citations

A Generalization of a Theorem of Lyapunov

1961 • 94 citations

On certain mean values of polynomials

1953 • 83 citations

Handbuch der Kugelfunctionen

1861 • 74 citations

On Extremal Properties of the Derivatives of Polynomials

1940 • 72 citations

Bemerkung zu einem Satze von Hurwitz

1944 • 67 citations

On a theorem of Grace

1954 • 63 citations

Über die Lage der Nullstellen von Polynomen, die aus Minimumforderungen gewisser Art entspringen

1922 • 62 citations

Continuity and location of zeros of linear combinations of polynomials

1965 • 54 citations

Bounds for characteristic roots of matrices

1948 • 51 citations

On the zeros of a polynomial and its derivative

1969 • 47 citations

Die Lage der Nullstellen eines Polynoms. III

1957 • 47 citations

Note on circular disks containing the eigenvalues of a matrix

1958 • 41 citations

A remark on a theorem of Lyapunov

1961 • 35 citations

Note on the Fundamental Theorem on Irreducible Non-Negative Matrices

1958 • 28 citations

Note on the roots of algebraic equations

1914 • 28 citations

A new proof of theorems of Perron and Frobenius on non-negative matrices: I. Positive matrices

1957 • 26 citations

An Inequality for the Roots of An Algebraic Equation

1924 • 26 citations

Bounds for the maximal characteristic root of a non-negative irreducible matrix

1960 • 25 citations

On the asymptotic behavior of polynomials with extremal properties, and of their zeros

1954 • 24 citations

The greatest distance between two characteristic roots of a matrix

1959 • 23 citations

POLYNOMIALS OF BEST APPROXIMATION ON AN INTERVAL

1959 • 23 citations

Zeros of polynomials and fractional order differences of their coefficients

1963 • 22 citations

Zur Theorie der algebraischen Gleichungen

1895 • 21 citations

Polynomials of best approximation on a real finite point set. I

1959 • 21 citations

The Continuity of the Roots of an Algebraic Equation

1908 • 20 citations

Least pth Power Polynomials on a Real Finite Point Set

1955 • 20 citations

On Pellet's Theorem Concerning the Roots of a Polynomial

1924 • 20 citations

An elementary double inequality for the roots of an algebraic equation having greatest absolute value

1915 • 20 citations

On the Location of the Roots of the Derivative of a Polynomial

1920 • 18 citations

The Routh and Routh‐Hurwitz Stability Criteria

1962 • 18 citations

Über die Lage der Nullstellen gewisser Minimumpolynome.

1922 • 16 citations

On limits to the absolute values of the roots of a polynomial

1925 • 15 citations

Some Propositions Concerning the Geometric Representation of Imaginaries

1892 • 15 citations

The Number of Zeros of a Polynomial in a Half-Plane

1960 • 14 citations

Aspects modernes de la localisation des zéros des polynomes d'une variable

1960 • 14 citations

Characteristic roots and the field of values of a matrix

1948 • 8 citations

Kakeya’s problem on the zeros of the derivative of a polynomial

1939 • 8 citations

On the zeros of linear partial fractions

1930 • 8 citations

On the zeros of infrapolynomials for partly arbitrary point sets

1959 • 3 citations