Lee Lorch
American mathematician
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Mathematics
Lee Lorch's Degrees
- PhD Mathematics University of Cincinnati
Why Is Lee Lorch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lee Alexander Lorch was an American mathematician, early civil rights activist, and communist. His leadership in the campaign to desegregate Stuyvesant Town, a large housing development on the East Side of Manhattan, helped eventually to make housing discrimination illegal in the United States but also resulted in Lorch losing his own job twice. He and his family then moved to the Southern United States where he and his wife, Grace Lorch, became involved in the civil rights movement there while also teaching at several Black colleges. He encouraged black students to pursue studies in mathematics and mentored several of the first black men and women to earn PhDs in mathematics in the United States. After moving to Canada as a result of McCarthyism, he ended his career as professor emeritus of mathematics at York University in Toronto, Ontario.
Lee Lorch's Published Works
Published Works
- Completely monotonic functions associated with the gamma function and its q-analogues (1986) (108)
- Monotonicity of the zeros of a cross product of Bessel functions (1994) (51)
- Higher monotonicity properties of certain Sturm-Liouville functions (1963) (51)
- Inequalities for ultraspherical polynomials and the gamma function (1984) (48)
- On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions (1983) (39)
- Higher Monotonicity Properties of Certain Sturm-Liouville Functions. III (1970) (33)
- Some inequalities for the first positive zeros of Bessel functions (1993) (29)
- Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials (1983) (28)
- THE LEBESGUE CONSTANTS FOR JACOBI SERIES, I (1959) (27)
- Turánians and Wronskians for the Zeros of Bessel Functions (1980) (24)
- The Principal Term in the Asymptotic Expansion of the Lebesgue Constants (1954) (21)
- Monotonic sequences related to zeros of Bessel functions (2008) (19)
- A Remark on Completely Monotonic Sequences, with an Application to Summability (1963) (18)
- The Lebesgue Constants for Regular Hausdorff Methods (1961) (17)
- “Best possible” upper bounds for the first positive zeros of Bessel functions—the finite part (1996) (17)
- Inequalities for some Whittaker functions (1967) (17)
- Additional monotonicity properties of the zeros of Bessel functions (1986) (17)
- Some Monotonicity Properties of Bessel Functions (1973) (13)
- Monotonicity of the differences of zeros of Bessel functions as a function of order (1964) (13)
- Bounds and monotonicities for the zeros of derivatives of ultraspherical Bessel functions (1994) (12)
- A Supplement to the Sturm Separation Theorem, with Applications (1965) (11)
- On the Points of Inflection of Bessel Functions of Positive Order, I (1990) (11)
- Closed expressions for some infinite series of Bessel and Struve functions (1987) (10)
- The Lebesgue Constants for (γ, r) Summation of Fourier Series (1952) (10)
- A singular integral whose kernel involves a Bessel function (1955) (10)
- Inflection Points of Bessel Functions of Negative Order (1991) (9)
- Discriminatory Practices. (1951) (8)
- A CHARACTERIZATION OF TOTALLY REGULAR (J, f(x)) TRANSFORMS (1969) (8)
- The Gibbs phenomenon for Borel means (1957) (8)
- The Lebesgue constants for Borel summability (1944) (6)
- On the zeros of derivatives of Bessel functions (1988) (6)
- On the [F, dn] summation of Fourier series† (1962) (6)
- The zeros of the third derivative of Bessel functions of order less than one (1995) (6)
- On Approximation by Fejér Means to Periodic Functions Satisfying a Lipschitz Condition (1962) (5)
- A BESSEL FUNCTION INEQUALITY CONNECTED WITH STABILITY OF LEAST SQUARE SMOOTHING (1966) (5)
- Consequences of nuclear warfare (1983) (5)
- Monotonicity of the zeros of the third derivative of Bessel functions (1995) (5)
- Alternative proof of a sharpened forms of bernstein's inequality for legendre polynomials: corrigendum (1993) (4)
- Monotonicity in terms of order of the zeros of the derivatives of Bessel functions (1990) (4)
- Asymptotic expressions for some integrals which include certain Lebesgue and Fejér constants (1953) (4)
- The real zeros of the derivatives of cylinder functions of negative order (1999) (4)
- The limits of indetermination for Riemann summation in terms of Bessel functions (1966) (2)
- A singular integral whose kernel involves a Bessel function. II (1962) (2)
- The zeros of certain sine-like integrals (1956) (2)
- THE LEBESGUE CONTANTS FOR JACOBI SERIES, II.* (1959) (2)
- Further on the Points of Inflection of Bessel Functions (1996) (2)
- The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means (1970) (2)
- On a monotonicity property of some Hausdorff transforms of certain Fourier series (1983) (2)
- On the Connectedness of the Sets of Limit Points of Certain Transforms of Bounded Sequences(1) (1971) (2)
- BESSEL FUNCTIONS IN A QUANTUM-BILLIARD CONFIGURATION PROBLEM (2003) (1)
- Mathematics: international congress. (1967) (1)
- A Bessel function inequality connected with stability of least square smoothing, II (1968) (1)
- On some contributions of Hala´sz to the Turan power-sum theory (1989) (1)
- Transcendentality of zeros of higher dereivatives of functions involving Bessel functions (1995) (1)
- A quasi-equivalence between Borel summability and convergence for Fourier-Laguerre series at the end-point (1979) (1)
- Continuous Ranking of Zeros of Cylinder Functions (2005) (1)
- Real Professionalism. (1961) (1)
- Corrections and a remark to: A singular integral whose kernel involves a Bessel function (1957) (1)
- Translativity for Strong Borel Summability (1966) (1)
- Remarks on trigonometric inequalities (1992) (0)
- Corrigenda to: ``On the points of inflection of Bessel functions of positive order. I'' (1990) (0)
- The Limit of a Certain Integral Containing a Parameter (1955) (0)
- Biased reporting of East European science (1979) (0)
- Some monotonicity properties associated with the zeros of Bessel functions (1990) (0)
- Derivatives of infinte order. (1953) (0)
- Correction: The Principal Term in the Asymptotic Expansion of the Lebesgue Constants (1955) (0)
- GIBBS' PHENOMENON FOR A FAMILY OF SUMMABILITY METHODS (2007) (0)
- The First Positive Zeros of Cylinder Functions and of Their Derivatives (2005) (0)
- Yesterday, today and tomorrow (1996) (0)
- Give up on prevention (1978) (0)
- Some monotonicity properties of polynomials with equally spaced zeros (1976) (0)
- The zeros of some oscillating integrals (1961) (0)
- The Lebesgue constants for Borel summation of Laplace series (1981) (0)
- MONOTONICITY AND CONVEXITY OF THE SEQUENCES OF THE AREAS BOUNDED BY THE SINE AND COSINE INTEGRALS (2001) (0)
- On an Extremal Problem in Fourier Series (1960) (0)
- Safeguarded flossing device. (1981) (0)
- Some Recollection of the International Congress Of Mathematicians (1967) (0)
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