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Lorch, Lee

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Author ID: lorch.lee Recent zbMATH articles by "Lorch, Lee"
Published as: Lorch, L.; Lorch, Lee
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Documents Indexed: 83 Publications since 1944
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 339 times in 256 Documents Cited by Year
Completely monotonic functions associated with the gamma function and its q-analogues. Zbl 0589.33001
Ismail, Mourad E. H.; Lorch, Lee; Muldoon, Martin E.
45
1986
Inequalities for ultraspherical polynomials and the gamma function. Zbl 0532.33007
Lorch, Lee
24
1984
Monotonicity of the zeros of a cross product of Bessel functions. Zbl 0840.33002
Lorch, Lee
18
1994
Higher monotonicity properties of certain Sturm-Liouville functions. Zbl 0111.06502
Lorch, Lee; Szego, Peter
16
1963
Higher monotonicity properties of certain Sturm-Liouville functions. III. Zbl 0212.40703
Lorch, L.; Muldoon, M. E.; Szego, P.
15
1970
On the composition of completely monotonic functions and completely monotonic sequences and related questions. Zbl 0547.26010
Lorch, Lee; Newman, Donald J.
14
1983
Alternative proof of a sharpened form of Bernstein’s inequality for Legendre polynomials. Zbl 0505.33007
Lorch, Lee
14
1983
Higher monotonicity properties of certain Sturm-Liouville functions. IV. Zbl 0242.34030
Lorch, Lee; Muldoon, Martin E.; Szego, Peter
14
1972
Some inequalities for the first positive zeros of Bessel functions. Zbl 0773.33003
Lorch, Lee
11
1993
The Lebesgue constants for regular Hausdorff methods. Zbl 0108.06104
Lorch, L.; Newman, D. J.
9
1961
Monotonic sequences related to zeros of Bessel functions. Zbl 1171.33304
Lorch, Lee; Muldoon, Martin E.
8
2008
“Best possible” upper bounds for the first positive zeros of Bessel functions – the finite part. Zbl 0866.65014
Lorch, Lee; Uberti, Riccardo
8
1996
A remark on completely monotonic sequences with an application to summability. Zbl 0122.30601
Lorch, Lee; Moser, Leo
8
1963
The Lebesgue constants for Jacobi series. I. Zbl 0092.06501
Lorch, Lee
8
1959
The Lebesgue constants for \((E, 1)\) summation of Fourier series. Zbl 0046.06701
Lorch, Lee
8
1952
On the zeros of derivatives of Bessel functions. Zbl 0666.33006
Lorch, Lee; Szego, Peter
7
1988
Closed expressions for some infinite series of Bessel and Struve functions. Zbl 0621.33010
Lorch, Lee; Szego, Peter
7
1987
Higher monotonicity properties of certain Sturm-Liouville functions. II. Zbl 0113.27704
Lorch, Lee; Szego, Peter
7
1963
Turanians and Wronskians for the zeros of Bessel functions. Zbl 0446.33011
Lorch, Lee
6
1980
A characterization of totally regular \([J,f(x)]\) transforms. Zbl 0184.08803
Leviatan, D.; Lorch, L.
6
1969
Inequalities for some Whittaker functions. Zbl 0205.36102
Lorch, L.
6
1967
A singular integral whose kernel involves a Bessel function. Zbl 0066.05201
Lorch, Lee; Szego, Peter
6
1955
Bounds and monotonicities for the zeros of derivatives of ultraspherical Bessel functions. Zbl 0805.33002
Lorch, Lee; Szego, Peter
5
1994
Some monotonicity properties of Bessel functions. Zbl 0227.33008
Lorch, Lee; Muldoon, M. E.; Szego, Peter
5
1973
Additional monotonicity properties of the zeros of Bessel functions. Zbl 0741.33003
Elbert, Árpád; Laforgia, Andrea; Lorch, Lee
4
1991
A supplement to the Sturm separation theorem, with applications. Zbl 0135.29702
Lorch, L.; Newman, D. J.
4
1965
Monotonicity of the differences of zeros of Bessel functions as a function of order. Zbl 0126.08603
Lorch, Lee; Szego, Peter
4
1964
On approximation by Fejer means to periodic functions satisfying a Lipschitz condition. Zbl 0115.28102
Lorch, L.
4
1962
The Gibbs phenomenon for Borel means. Zbl 0078.25501
Lorch, Lee
4
1957
The real zeros of the derivatives of cylinder functions of negative order. Zbl 0958.33002
Lorch, Lee; Muldoon, Martin E.
3
1999
Elementary comparison techniques for certain classes of Sturm-Liouville equations. Zbl 0406.34027
Lorch, Lee
3
1977
The Lebesgue constants for Borel summability. Zbl 0063.03632
Lorch, Lee
3
1944
On Bessel functions of equal order and argument. Zbl 0796.33002
Lorch, L.
2
1992
Inflection points of Bessel functions of negative order. Zbl 0762.33002
Lorch, Lee; Muldoon, Martin E.; Szego, Peter
2
1991
On the points of inflection of Bessel functions of positive order. I. Zbl 0716.33003
Lorch, Lee; Szego, Peter
2
1990
Monotonicity in terms of order of the zeros of the derivatives of Bessel functions. Zbl 0693.33004
Lorch, Lee
2
1990
The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means. Zbl 0197.35101
Leviatan, D.; Lorch, L.
2
1970
A Bessel function inequality connected with stability of least square smoothing. Zbl 0163.30803
Lorch, Lee; Szego, Peter
2
1966
The Lebesgue constants for \((\gamma,r)\) summation of Fourier series. Zbl 0116.04802
Lorch, Lee; Newman, Donald J.
2
1963
Asymptotic expressions for some integrals which include certain Lebesgue and Fejér constants. Zbl 0050.05905
Lorch, Lee
2
1953
Continuous ranking of zeros of cylinder functions. Zbl 1144.33001
Lorch, Lee
1
2005
A property of completely [absolutely] monotonic and other logarithmically convex [concave] functions. Zbl 1042.26005
Lorch, Lee
1
2003
The zeros of the third derivative of Bessel functions of order less than one. Zbl 0843.33001
Lorch, Lee
1
1995
Monotonicity of the zeros of the third derivative of Bessel functions. Zbl 0833.33003
Lorch, Lee; Szego, Peter
1
1995
Alternative proof of a sharpened form of Berstein’s inequality for Legendre polynomials: Corrigendum. Zbl 0795.33006
Lorch, Lee
1
1993
The Lebesgue constants for Euler (E,1) summation of Laplace series. Zbl 0538.40007
Lorch, L.
1
1983
On a monotonicity property of some Hausdorff transforms of certain Fourier series. Zbl 0518.42012
Lorch, L.; Newman, D. J.
1
1983
A quasi-equivalence between Borel summability and convergence for Fourier-Laguerre series at the end-point. Zbl 0439.42009
Lorch, Lee; Tzimbalario, Jean
1
1979
On the connectedness of the sets of limit points of certain transforms of bounded sequences. Zbl 0212.41202
Leviatan, D.; Lorch, L.
1
1971
A Bessel function inequality connected with stability of least square smoothing. II. Zbl 0185.29702
Lorch, Lee; Szego, Peter
1
1968
Translativity for strong Borel summability. Zbl 0145.28901
Lorch, L.
1
1966
The limits of indetermination for Riemann summation in terms of Bessel functions. Zbl 0143.07801
Lorch, L.
1
1966
On the \([F,d_ n]\) summation of Fourier series. Zbl 0144.06501
Lorch, L.; Newman, D. J.
1
1962
A singular integral whose kernel involves a Bessel function. II. Zbl 0108.06701
Lorch, Lee; Szego, Peter
1
1962
Supplement to a theorem of Cesàro. Zbl 0084.05803
Lorch, Lee
1
1958
Corrections and a remark to: A singular integral whose kernel involves a Bessel function. Zbl 0078.25801
Lorch, Lee; Szego, Peter
1
1957
The zeros of certain sine-like integrals. Zbl 0073.04604
Livingston, A. E.; Lorch, Lee
1
1956
The principal term in the asymptotic expansion of the Lebesgue constants. Zbl 0055.29504
Lorch, Lee
1
1954
On Fejer’s calculation of the Lebesgue constants. Zbl 0060.18206
Lorch, Lee
1
1945
Monotonic sequences related to zeros of Bessel functions. Zbl 1171.33304
Lorch, Lee; Muldoon, Martin E.
8
2008
Continuous ranking of zeros of cylinder functions. Zbl 1144.33001
Lorch, Lee
1
2005
A property of completely [absolutely] monotonic and other logarithmically convex [concave] functions. Zbl 1042.26005
Lorch, Lee
1
2003
The real zeros of the derivatives of cylinder functions of negative order. Zbl 0958.33002
Lorch, Lee; Muldoon, Martin E.
3
1999
“Best possible” upper bounds for the first positive zeros of Bessel functions – the finite part. Zbl 0866.65014
Lorch, Lee; Uberti, Riccardo
8
1996
The zeros of the third derivative of Bessel functions of order less than one. Zbl 0843.33001
Lorch, Lee
1
1995
Monotonicity of the zeros of the third derivative of Bessel functions. Zbl 0833.33003
Lorch, Lee; Szego, Peter
1
1995
Monotonicity of the zeros of a cross product of Bessel functions. Zbl 0840.33002
Lorch, Lee
18
1994
Bounds and monotonicities for the zeros of derivatives of ultraspherical Bessel functions. Zbl 0805.33002
Lorch, Lee; Szego, Peter
5
1994
Some inequalities for the first positive zeros of Bessel functions. Zbl 0773.33003
Lorch, Lee
11
1993
Alternative proof of a sharpened form of Berstein’s inequality for Legendre polynomials: Corrigendum. Zbl 0795.33006
Lorch, Lee
1
1993
On Bessel functions of equal order and argument. Zbl 0796.33002
Lorch, L.
2
1992
Additional monotonicity properties of the zeros of Bessel functions. Zbl 0741.33003
Elbert, Árpád; Laforgia, Andrea; Lorch, Lee
4
1991
Inflection points of Bessel functions of negative order. Zbl 0762.33002
Lorch, Lee; Muldoon, Martin E.; Szego, Peter
2
1991
On the points of inflection of Bessel functions of positive order. I. Zbl 0716.33003
Lorch, Lee; Szego, Peter
2
1990
Monotonicity in terms of order of the zeros of the derivatives of Bessel functions. Zbl 0693.33004
Lorch, Lee
2
1990
On the zeros of derivatives of Bessel functions. Zbl 0666.33006
Lorch, Lee; Szego, Peter
7
1988
Closed expressions for some infinite series of Bessel and Struve functions. Zbl 0621.33010
Lorch, Lee; Szego, Peter
7
1987
Completely monotonic functions associated with the gamma function and its q-analogues. Zbl 0589.33001
Ismail, Mourad E. H.; Lorch, Lee; Muldoon, Martin E.
45
1986
Inequalities for ultraspherical polynomials and the gamma function. Zbl 0532.33007
Lorch, Lee
24
1984
On the composition of completely monotonic functions and completely monotonic sequences and related questions. Zbl 0547.26010
Lorch, Lee; Newman, Donald J.
14
1983
Alternative proof of a sharpened form of Bernstein’s inequality for Legendre polynomials. Zbl 0505.33007
Lorch, Lee
14
1983
The Lebesgue constants for Euler (E,1) summation of Laplace series. Zbl 0538.40007
Lorch, L.
1
1983
On a monotonicity property of some Hausdorff transforms of certain Fourier series. Zbl 0518.42012
Lorch, L.; Newman, D. J.
1
1983
Turanians and Wronskians for the zeros of Bessel functions. Zbl 0446.33011
Lorch, Lee
6
1980
A quasi-equivalence between Borel summability and convergence for Fourier-Laguerre series at the end-point. Zbl 0439.42009
Lorch, Lee; Tzimbalario, Jean
1
1979
Elementary comparison techniques for certain classes of Sturm-Liouville equations. Zbl 0406.34027
Lorch, Lee
3
1977
Some monotonicity properties of Bessel functions. Zbl 0227.33008
Lorch, Lee; Muldoon, M. E.; Szego, Peter
5
1973
Higher monotonicity properties of certain Sturm-Liouville functions. IV. Zbl 0242.34030
Lorch, Lee; Muldoon, Martin E.; Szego, Peter
14
1972
On the connectedness of the sets of limit points of certain transforms of bounded sequences. Zbl 0212.41202
Leviatan, D.; Lorch, L.
1
1971
Higher monotonicity properties of certain Sturm-Liouville functions. III. Zbl 0212.40703
Lorch, L.; Muldoon, M. E.; Szego, P.
15
1970
The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means. Zbl 0197.35101
Leviatan, D.; Lorch, L.
2
1970
A characterization of totally regular \([J,f(x)]\) transforms. Zbl 0184.08803
Leviatan, D.; Lorch, L.
6
1969
A Bessel function inequality connected with stability of least square smoothing. II. Zbl 0185.29702
Lorch, Lee; Szego, Peter
1
1968
Inequalities for some Whittaker functions. Zbl 0205.36102
Lorch, L.
6
1967
A Bessel function inequality connected with stability of least square smoothing. Zbl 0163.30803
Lorch, Lee; Szego, Peter
2
1966
Translativity for strong Borel summability. Zbl 0145.28901
Lorch, L.
1
1966
The limits of indetermination for Riemann summation in terms of Bessel functions. Zbl 0143.07801
Lorch, L.
1
1966
A supplement to the Sturm separation theorem, with applications. Zbl 0135.29702
Lorch, L.; Newman, D. J.
4
1965
Monotonicity of the differences of zeros of Bessel functions as a function of order. Zbl 0126.08603
Lorch, Lee; Szego, Peter
4
1964
Higher monotonicity properties of certain Sturm-Liouville functions. Zbl 0111.06502
Lorch, Lee; Szego, Peter
16
1963
A remark on completely monotonic sequences with an application to summability. Zbl 0122.30601
Lorch, Lee; Moser, Leo
8
1963
Higher monotonicity properties of certain Sturm-Liouville functions. II. Zbl 0113.27704
Lorch, Lee; Szego, Peter
7
1963
The Lebesgue constants for \((\gamma,r)\) summation of Fourier series. Zbl 0116.04802
Lorch, Lee; Newman, Donald J.
2
1963
On approximation by Fejer means to periodic functions satisfying a Lipschitz condition. Zbl 0115.28102
Lorch, L.
4
1962
On the \([F,d_ n]\) summation of Fourier series. Zbl 0144.06501
Lorch, L.; Newman, D. J.
1
1962
A singular integral whose kernel involves a Bessel function. II. Zbl 0108.06701
Lorch, Lee; Szego, Peter
1
1962
The Lebesgue constants for regular Hausdorff methods. Zbl 0108.06104
Lorch, L.; Newman, D. J.
9
1961
The Lebesgue constants for Jacobi series. I. Zbl 0092.06501
Lorch, Lee
8
1959
Supplement to a theorem of Cesàro. Zbl 0084.05803
Lorch, Lee
1
1958
The Gibbs phenomenon for Borel means. Zbl 0078.25501
Lorch, Lee
4
1957
Corrections and a remark to: A singular integral whose kernel involves a Bessel function. Zbl 0078.25801
Lorch, Lee; Szego, Peter
1
1957
The zeros of certain sine-like integrals. Zbl 0073.04604
Livingston, A. E.; Lorch, Lee
1
1956
A singular integral whose kernel involves a Bessel function. Zbl 0066.05201
Lorch, Lee; Szego, Peter
6
1955
The principal term in the asymptotic expansion of the Lebesgue constants. Zbl 0055.29504
Lorch, Lee
1
1954
Asymptotic expressions for some integrals which include certain Lebesgue and Fejér constants. Zbl 0050.05905
Lorch, Lee
2
1953
The Lebesgue constants for \((E, 1)\) summation of Fourier series. Zbl 0046.06701
Lorch, Lee
8
1952
On Fejer’s calculation of the Lebesgue constants. Zbl 0060.18206
Lorch, Lee
1
1945
The Lebesgue constants for Borel summability. Zbl 0063.03632
Lorch, Lee
3
1944
all top 5

Cited by 266 Authors

16 Lorch, Lee
11 Baricz, Árpád
11 Laforgia, Andrea
9 Muldoon, Martin E.
9 Yang, Zhenhang
8 Alzer, Horst
8 Elbert, Árpád
7 Ismail, Mourad El-Houssieny
7 Qi, Feng
6 Szego, Peter
5 Ashbaugh, Mark S.
5 Ishiguro, Kazuo
4 Giordano, Carla
4 Jankov Maširević, Dragana
4 Salem, Ahmed
4 Tian, Jingfeng
4 Ustina, Fred
4 Zheng, Shenzhou
3 Askey, Richard Allen
3 Batir, Necdet
3 Benguria, Rafael D.
3 Chasman, L. Mercredi
3 Chu, Yuming
3 Collino, Francis
3 Guo, Bai-Ni
3 Kerimov, Movlud Kerimovich
3 Koumandos, Stamatis
3 Leviatan, Dany
3 Mai, Jan-Frederik
3 Markett, Clemens
3 Martinez, Patrick
3 Ponnusamy, Saminathan
3 Scherer, Matthias
3 Segura, Javier
3 Srivastava, Hari Mohan
3 Stanković, Miomir S.
3 Tričković, Slobodan B.
3 Vancostenoble, Judith
3 Vidanović, Mirjana V.
3 Wong, Roderick Sue-Chuen
2 Cannarsa, Piermarco
2 Carayol, Quentin
2 Freud, Géza
2 Golubov, Boris Ivanovich
2 Grinshpan, Arcadii Z.
2 Grunau, Hans-Christoph
2 Guo, Senlin
2 Hacik, Milos
2 Holland, Anthony S. B.
2 Ikeno, K.
2 Kokologiannaki, Chrysi G.
2 Koornwinder, Tom H.
2 Krasikov, Ilia
2 Laugesen, Richard Snyder
2 Liu, Yongping
2 Lohöfer, Georg
2 Luo, Qiuming
2 Merkle, Milan J.
2 Natalini, Pierpaolo
2 Neuman, František
2 Nowak, Adam
2 Pečarić, Josip
2 Pedersen, Henrik Laurberg
2 Pogány, Tibor K.
2 Stark, Eberhard L.
2 Steinig, John
2 Telyakovskiĭ, Sergeĭ Aleksandrovich
2 Trench, William F.
2 Troestler, Christophe
2 Xue, Qingying
2 Yabuta, Kôzô
2 Yagmur, Nihat
2 Zhao, Tiehong
1 Adcock, Ben
1 Aguech, Rafik
1 Ahn, Jaewook
1 Al-Jararha, Jehad M.
1 Al-Jararha, Mohammadkheer M.
1 Al-Salam, Waleed A.
1 Allal, Brahim
1 Alzahrani, Faris Saeed
1 Amiri, Leila
1 Arenas, Alberto
1 Balabdaoui, Fadoua
1 Baskakov, Viktor Alekseevich
1 Beekmann, Wolfgang
1 Benamou, Jean-David
1 Berg, Christian
1 Berg, Christian P.
1 Bernardi, Giulia
1 Biccari, Umberto
1 Bonheure, Denis
1 Bouveyron, Charles
1 Bradley, David M.
1 Buhmann, Martin Dietrich
1 Butzer, Paul Leo
1 Cartwright, Donald I.
1 Çetinkaya, Asena
1 Chee, Chew-Seng
1 Chen, Huyuan
...and 166 more Authors
all top 5

Cited in 108 Serials

20 Journal of Mathematical Analysis and Applications
18 Journal of Approximation Theory
18 Proceedings of the American Mathematical Society
11 Journal of Computational and Applied Mathematics
8 Transactions of the American Mathematical Society
8 Journal of Inequalities and Applications
7 Mathematische Zeitschrift
7 Integral Transforms and Special Functions
5 Computers & Mathematics with Applications
5 Aequationes Mathematicae
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Mathematics of Computation
4 The Ramanujan Journal
3 Applicable Analysis
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Journal of Differential Equations
3 Journal of Multivariate Analysis
3 Tohoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Computational Mathematics and Mathematical Physics
3 Mathematical Inequalities & Applications
3 Analysis and Applications (Singapore)
2 Communications in Mathematical Physics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Advances in Mathematics
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Constructive Approximation
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Mathematical Analysis
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Georgian Mathematical Journal
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Advances in Difference Equations
2 Proceedings of the Japan Academy
2 Electronic Journal of Statistics
2 Mathematical Control and Related Fields
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Automatica
1 BIT
1 Calcolo
1 Computing
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Advances in Applied Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Numerical Methods for Partial Differential Equations
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Statistical Computation and Simulation
1 Expositiones Mathematicae
1 Computational Statistics and Data Analysis
1 Indagationes Mathematicae. New Series
1 Advances in Computational Mathematics
1 Arab Journal of Mathematical Sciences
1 Journal of Applied Analysis
1 Journal of Vibration and Control
1 Abstract and Applied Analysis
1 Positivity
1 Annals of Mathematics. Second Series
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Journal of Dynamical and Control Systems
1 Probability in the Engineering and Informational Sciences
1 Differential Equations
1 Foundations of Computational Mathematics
1 Journal of the Australian Mathematical Society
1 Computational Methods and Function Theory
...and 8 more Serials

Citations by Year

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