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Coffey, Mark William

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Author ID: coffey.mark-w Recent zbMATH articles by "Coffey, Mark William"
Published as: Coffey, M. W.; Coffey, Mark; Coffey, Mark W.
External Links: MGP · dblp
Documents Indexed: 79 Publications since 1986

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 320 times in 169 Documents Cited by Year
New results on the Stieltjes constants: asymptotic and exact evaluation. Zbl 1096.11033
Coffey, Mark W.
22
2006
On series expansions giving closed-form solutions of Korteweg-de Vries- like equations. Zbl 0712.76025
Coffey, Mark W.
22
1990
Series representations for the Stieltjes constants. Zbl 1320.11085
Coffey, Mark W.
19
2014
Toward verification of the Riemann hypothesis: application of the Li criterion. Zbl 1097.11042
Coffey, Mark W.
18
2005
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams. Zbl 1134.33304
Coffey, Mark W.
16
2005
An effective asymptotic formula for the Stieltjes constants. Zbl 1208.41020
Knessl, Charles; Coffey, Mark W.
15
2011
Relations and positivity results for the derivatives of the Riemann \(\xi\) function. Zbl 1107.11033
Coffey, Mark W.
15
2004
On some log-cosine integrals related to \(\zeta(3), \zeta(4)\), and \(\zeta(6)\). Zbl 1049.11094
Coffey, Mark W.
14
2003
An asymptotic form for the Stieltjes constants \(\gamma_{k}(a)\) and for a sum \(S_{\gamma}(n)\) appearing under the Li criterion. Zbl 1252.11065
Knessl, Charles; Coffey, Mark W.
11
2011
New summation relations for the Stieltjes constants. Zbl 1149.65302
Coffey, Mark W.
11
2006
The Stieltjes constants, their relation to the \(\eta_j\) coefficients, and representation of the Hurwitz zeta function. Zbl 1235.11079
Coffey, Mark W.
10
2010
Addison-type series representation for the Stieltjes constants. Zbl 1200.11061
Coffey, Mark W.
10
2010
On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions. Zbl 1152.81383
Coffey, Mark W.
9
2008
On some series representations of the Hurwitz zeta function. Zbl 1134.11032
Coffey, Mark W.
9
2008
On representations and differences of Stieltjes coefficients, and other relations. Zbl 1269.11087
Coffey, Mark W.
8
2011
On generalized harmonic number sums. Zbl 1202.33001
Coffey, Mark W.; Lubbers, Nicholas
8
2010
New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants. Zbl 1185.11051
Coffey, Mark W.
8
2008
Theta and Riemann xi function representations from harmonic oscillator eigensolutions. Zbl 1197.33006
Coffey, Mark W.
6
2007
Hypergeometric summation representations of the Stieltjes constants. Zbl 1284.11118
Coffey, Mark W.
5
2013
An explicit formula and estimations for Hecke \(L\)-functions: applying the Li criterion. Zbl 1214.11094
Coffey, Mark W.
5
2007
The theta-Laguerre calculus formulation of the Li/Keiper constants. Zbl 1120.33006
Coffey, Mark W.
5
2007
Mellin transforms with only critical zeros: Legendre functions. Zbl 1303.33006
Coffey, Mark W.; Lettington, Matthew C.
4
2015
On the log-concavity of a Jacobi theta function. Zbl 1278.30028
Coffey, Mark W.; Csordas, George
4
2013
Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis. Zbl 1226.11085
Coffey, Mark W.
4
2010
A set of identities for a class of alternating binomial sums arising in computing applications. Zbl 1190.05011
Coffey, Mark W.
4
2008
Functional equations for the Stieltjes constants. Zbl 1412.11108
Coffey, Mark W.
3
2016
The Zagier polynomials. II: Arithmetic properties of coefficients. Zbl 1372.11023
Coffey, Mark W.; De Angelis, Valerio; Dixit, Atul; Moll, Victor H.; Straub, Armin; Vignat, Christophe
3
2014
Integrals of powers of loggamma. Zbl 1213.33002
Amdeberhan, Tewodros; Coffey, Mark W.; Espinosa, Olivier; Koutschan, Christoph; Manna, Dante V.; Moll, Victor H.
3
2011
Asymptotic estimation of \(\xi ^{(2n)}(1/2)\): on a conjecture of Farmer and Rhoades. Zbl 1257.11079
Coffey, Mark W.
3
2009
An efficient algorithm for the Hurwitz zeta and related functions. Zbl 1171.11047
Coffey, Mark W.
3
2009
Evaluation of a \(\ln\tan\) integral arising in quantum field theory. Zbl 1152.81384
Coffey, Mark W.
3
2008
Special functions and the Mellin transforms of Laguerre and Hermite functions. Zbl 1132.33306
Coffey, Mark W.
3
2007
Properties and possibilities of quantum shapelets. Zbl 1088.94003
Coffey, Mark W.
3
2006
Phase space analysis for the direct algebraic method for nonlinear evolution and wave equations. Zbl 0758.70015
Coffey, Mark W.
3
1992
The application of cell discretization to a ”circle in the square” model problem. Zbl 0622.65106
Coffey, Mark; Greenstadt, John; Karp, Alan
3
1986
Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers. Zbl 1374.11030
Coffey, Mark W.
2
2018
Series representation of the Riemann zeta function and other results: complements to a paper of Crandall. Zbl 1304.11093
Coffey, Mark W.
2
2014
On finite sums of Laguerre polynomials. Zbl 1214.33004
Coffey, Mark W.
2
2011
Some results involving series representations of hypergeometric functions. Zbl 1186.33010
Coffey, M. W.; Johnston, S. J.
2
2009
Feasibility of the controlled-NOT gate from certain model Hamiltonians. Zbl 1120.81012
Coffey, Mark W.; Colburn, Gabriel G.
2
2007
Semiclassical position entropy for hydrogen-like atoms. Zbl 1046.81036
Coffey, Mark W.
2
2003
On the inertial mass of a vortex in high-\(T_c\) superconductors: Closed form results. Zbl 0913.65122
Coffey, Mark W.
2
1998
On higher-dimensional Fibonacci numbers, Chebyshev polynomials and sequences of vector convergents. Zbl 1401.11032
Coffey, Mark W.; Hindmarsh, James L.; Lettington, Matthew C.; Pryce, John D.
1
2017
Integral and series representations of the digamma and polygamma functions. Zbl 1259.33005
Coffey, Mark W.
1
2012
Fractional part integral representation for derivatives of a function related to \(\ln\Gamma(x + 1)\). Zbl 1265.33004
Coffey, Mark W.
1
2012
Double series expression for the Stieltjes constants. Zbl 1273.11127
Coffey, Mark W.
1
2011
On certain sums over the non-trivial zeta zeroes. Zbl 1247.11108
Coffey, Mark W.
1
2010
Exact canonical decomposition of two-qubit operators in terms of CNOT. Zbl 1209.81063
Coffey, Mark W.; Deiotte, Ron
1
2010
Expressions for harmonic number exponential generating functions. Zbl 1207.33011
Coffey, Mark W.
1
2010
Summation properties of the \(\eta _j\) and Li constants. Zbl 1233.11087
Coffey, Mark W.
1
2009
Conjecturing the optimal order of the components of the Li/Keiper constants. Zbl 1166.11030
Coffey, Mark W.
1
2008
Relation of operator Schmidt decomposition and CNOT complexity. Zbl 1144.81438
Coffey, Mark W.; Deiotte, Ron
1
2008
Multidimensional linear diffusion for image enhancement on a type II quantum computer. Zbl 1132.81315
Coffey, Mark W.; Colburn, Gabriel G.
1
2007
One integral in three ways: moments of a quantum distribution. Zbl 1083.05004
Coffey, Mark W.
1
2006
Estimates of universal computational capacity to the present. Zbl 0999.85004
Coffey, Mark W.
1
2002
On the relation of the cell discretization algorithm to the primal hybrid finite element method. Zbl 0744.65069
Coffey, Mark W.
1
1992
Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers. Zbl 1374.11030
Coffey, Mark W.
2
2018
On higher-dimensional Fibonacci numbers, Chebyshev polynomials and sequences of vector convergents. Zbl 1401.11032
Coffey, Mark W.; Hindmarsh, James L.; Lettington, Matthew C.; Pryce, John D.
1
2017
Functional equations for the Stieltjes constants. Zbl 1412.11108
Coffey, Mark W.
3
2016
Mellin transforms with only critical zeros: Legendre functions. Zbl 1303.33006
Coffey, Mark W.; Lettington, Matthew C.
4
2015
Series representations for the Stieltjes constants. Zbl 1320.11085
Coffey, Mark W.
19
2014
The Zagier polynomials. II: Arithmetic properties of coefficients. Zbl 1372.11023
Coffey, Mark W.; De Angelis, Valerio; Dixit, Atul; Moll, Victor H.; Straub, Armin; Vignat, Christophe
3
2014
Series representation of the Riemann zeta function and other results: complements to a paper of Crandall. Zbl 1304.11093
Coffey, Mark W.
2
2014
Hypergeometric summation representations of the Stieltjes constants. Zbl 1284.11118
Coffey, Mark W.
5
2013
On the log-concavity of a Jacobi theta function. Zbl 1278.30028
Coffey, Mark W.; Csordas, George
4
2013
Integral and series representations of the digamma and polygamma functions. Zbl 1259.33005
Coffey, Mark W.
1
2012
Fractional part integral representation for derivatives of a function related to \(\ln\Gamma(x + 1)\). Zbl 1265.33004
Coffey, Mark W.
1
2012
An effective asymptotic formula for the Stieltjes constants. Zbl 1208.41020
Knessl, Charles; Coffey, Mark W.
15
2011
An asymptotic form for the Stieltjes constants \(\gamma_{k}(a)\) and for a sum \(S_{\gamma}(n)\) appearing under the Li criterion. Zbl 1252.11065
Knessl, Charles; Coffey, Mark W.
11
2011
On representations and differences of Stieltjes coefficients, and other relations. Zbl 1269.11087
Coffey, Mark W.
8
2011
Integrals of powers of loggamma. Zbl 1213.33002
Amdeberhan, Tewodros; Coffey, Mark W.; Espinosa, Olivier; Koutschan, Christoph; Manna, Dante V.; Moll, Victor H.
3
2011
On finite sums of Laguerre polynomials. Zbl 1214.33004
Coffey, Mark W.
2
2011
Double series expression for the Stieltjes constants. Zbl 1273.11127
Coffey, Mark W.
1
2011
The Stieltjes constants, their relation to the \(\eta_j\) coefficients, and representation of the Hurwitz zeta function. Zbl 1235.11079
Coffey, Mark W.
10
2010
Addison-type series representation for the Stieltjes constants. Zbl 1200.11061
Coffey, Mark W.
10
2010
On generalized harmonic number sums. Zbl 1202.33001
Coffey, Mark W.; Lubbers, Nicholas
8
2010
Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis. Zbl 1226.11085
Coffey, Mark W.
4
2010
On certain sums over the non-trivial zeta zeroes. Zbl 1247.11108
Coffey, Mark W.
1
2010
Exact canonical decomposition of two-qubit operators in terms of CNOT. Zbl 1209.81063
Coffey, Mark W.; Deiotte, Ron
1
2010
Expressions for harmonic number exponential generating functions. Zbl 1207.33011
Coffey, Mark W.
1
2010
Asymptotic estimation of \(\xi ^{(2n)}(1/2)\): on a conjecture of Farmer and Rhoades. Zbl 1257.11079
Coffey, Mark W.
3
2009
An efficient algorithm for the Hurwitz zeta and related functions. Zbl 1171.11047
Coffey, Mark W.
3
2009
Some results involving series representations of hypergeometric functions. Zbl 1186.33010
Coffey, M. W.; Johnston, S. J.
2
2009
Summation properties of the \(\eta _j\) and Li constants. Zbl 1233.11087
Coffey, Mark W.
1
2009
On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions. Zbl 1152.81383
Coffey, Mark W.
9
2008
On some series representations of the Hurwitz zeta function. Zbl 1134.11032
Coffey, Mark W.
9
2008
New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants. Zbl 1185.11051
Coffey, Mark W.
8
2008
A set of identities for a class of alternating binomial sums arising in computing applications. Zbl 1190.05011
Coffey, Mark W.
4
2008
Evaluation of a \(\ln\tan\) integral arising in quantum field theory. Zbl 1152.81384
Coffey, Mark W.
3
2008
Conjecturing the optimal order of the components of the Li/Keiper constants. Zbl 1166.11030
Coffey, Mark W.
1
2008
Relation of operator Schmidt decomposition and CNOT complexity. Zbl 1144.81438
Coffey, Mark W.; Deiotte, Ron
1
2008
Theta and Riemann xi function representations from harmonic oscillator eigensolutions. Zbl 1197.33006
Coffey, Mark W.
6
2007
An explicit formula and estimations for Hecke \(L\)-functions: applying the Li criterion. Zbl 1214.11094
Coffey, Mark W.
5
2007
The theta-Laguerre calculus formulation of the Li/Keiper constants. Zbl 1120.33006
Coffey, Mark W.
5
2007
Special functions and the Mellin transforms of Laguerre and Hermite functions. Zbl 1132.33306
Coffey, Mark W.
3
2007
Feasibility of the controlled-NOT gate from certain model Hamiltonians. Zbl 1120.81012
Coffey, Mark W.; Colburn, Gabriel G.
2
2007
Multidimensional linear diffusion for image enhancement on a type II quantum computer. Zbl 1132.81315
Coffey, Mark W.; Colburn, Gabriel G.
1
2007
New results on the Stieltjes constants: asymptotic and exact evaluation. Zbl 1096.11033
Coffey, Mark W.
22
2006
New summation relations for the Stieltjes constants. Zbl 1149.65302
Coffey, Mark W.
11
2006
Properties and possibilities of quantum shapelets. Zbl 1088.94003
Coffey, Mark W.
3
2006
One integral in three ways: moments of a quantum distribution. Zbl 1083.05004
Coffey, Mark W.
1
2006
Toward verification of the Riemann hypothesis: application of the Li criterion. Zbl 1097.11042
Coffey, Mark W.
18
2005
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams. Zbl 1134.33304
Coffey, Mark W.
16
2005
Relations and positivity results for the derivatives of the Riemann \(\xi\) function. Zbl 1107.11033
Coffey, Mark W.
15
2004
On some log-cosine integrals related to \(\zeta(3), \zeta(4)\), and \(\zeta(6)\). Zbl 1049.11094
Coffey, Mark W.
14
2003
Semiclassical position entropy for hydrogen-like atoms. Zbl 1046.81036
Coffey, Mark W.
2
2003
Estimates of universal computational capacity to the present. Zbl 0999.85004
Coffey, Mark W.
1
2002
On the inertial mass of a vortex in high-\(T_c\) superconductors: Closed form results. Zbl 0913.65122
Coffey, Mark W.
2
1998
Phase space analysis for the direct algebraic method for nonlinear evolution and wave equations. Zbl 0758.70015
Coffey, Mark W.
3
1992
On the relation of the cell discretization algorithm to the primal hybrid finite element method. Zbl 0744.65069
Coffey, Mark W.
1
1992
On series expansions giving closed-form solutions of Korteweg-de Vries- like equations. Zbl 0712.76025
Coffey, Mark W.
22
1990
The application of cell discretization to a ”circle in the square” model problem. Zbl 0622.65106
Coffey, Mark; Greenstadt, John; Karp, Alan
3
1986
all top 5

Cited by 195 Authors

39 Coffey, Mark William
8 Adell, José Antonio
7 Blagouchine, Iaroslav V.
7 Sofo, Anthony
5 Choi, Junesang
5 Lekuona, Alberto
4 Dixit, Atul
4 Moll, Victor Hugo
4 Vignat, Christophe
4 Zhang, Weiguo
3 Lettington, Matthew C.
3 Mazhouda, Kamel
3 Saad Eddin, Sumaia
3 Wang, Tongke
3 Xu, Ce
2 Alzer, Horst
2 Batir, Necdet
2 Castro Perelman, Carlos
2 Chen, Xiaojing
2 Chu, Wenchang
2 Csordas, George
2 Deiotte, Ron
2 Ernvall-Hytönen, Anne-Maria
2 Faulhuber, Markus
2 Feng, Zhaosheng
2 Jiu, Lin
2 Johansson, Fredrik
2 Kim, Dae San
2 Kim, Taekyun
2 Knessl, Charles
2 Lagarias, Jeffrey C.
2 Lin, Xiuli
2 Mező, István
2 Odžak, Almasa
2 Omar, Sami
2 Orr, Derek
2 Rezazadeh, Hadi
2 Sesma, Javier
2 Smajlović, Lejla
2 Srivastava, Hari Mohan
2 Swann, Howard
2 Voros, André
2 Wang, Weiping
2 Yin, Li
2 Zhang, Zhiyue
2 Zhao, Yan
1 Abdelkader, Mostafa A.
1 Ablinger, Jakob
1 Amdeberhan, Tewodros
1 An, Junying
1 Bailey, David Harold
1 Balakrishnan, Srinivasan
1 Balents, Leon
1 Bartosch, Lorenz
1 Bekir, Ahmet
1 Berg, Marcus
1 Berkane, Djamel
1 Blümlein, Johannes
1 Bordellès, Olivier
1 Borwein, David
1 Borwein, Jonathan Michael
1 Cai, Yulin
1 Castro, Carlos
1 Cayco, Maria
1 Chang, Qianshun
1 Chatterjee, Tapas
1 Chen, Yiren
1 Crepin, Kofane Timoleon
1 Cunden, Fabio Deelan
1 Cvijović, Djurdje
1 Dattoli, Giuseppe
1 Diehl, H. W.
1 Doka, Serge Yamigno
1 Dolgiĭ, Dmitriĭ Viktorovich
1 Dunlap, Richard A.
1 Eslami, Mostafa
1 Farmer, David W.
1 Farr, Ricky E.
1 Flajolet, Philippe
1 Foster, Leslie V.
1 Gang, Fu
1 Geldart, D. J. Wallace
1 Germano, Bruna
1 Glasser, M. Lawrence
1 Gonek, Steven M.
1 Greenstadt, John
1 Greynat, David
1 Gu, Yuesheng
1 Guan, Xiao
1 Gun, Sanoli
1 Haack, Michael
1 Hamidoglu, Ali
1 He, Yan
1 Hindmarsh, James L.
1 Hoffman, Michael E.
1 Hu, Su
1 Huang, Dingjiang
1 Huang, Liguo
1 Hubert, Malwe Boudoue
1 Inan, Ibrahim E.
...and 95 more Authors
all top 5

Cited in 75 Serials

16 Journal of Number Theory
11 Mathematics of Computation
10 Journal of Mathematical Analysis and Applications
9 The Ramanujan Journal
8 Journal of Computational and Applied Mathematics
6 Applied Mathematics and Computation
6 Analysis (München)
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Integral Transforms and Special Functions
4 Mathematical Physics, Analysis and Geometry
4 Quantum Information Processing
3 International Journal of Theoretical Physics
3 Chaos, Solitons and Fractals
3 Numerical Algorithms
3 International Journal of Number Theory
2 Proceedings of the Japan Academy. Series A
2 Acta Mathematicae Applicatae Sinica. English Series
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Discrete Dynamics in Nature and Society
2 International Journal of Geometric Methods in Modern Physics
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
1 International Journal of Modern Physics B
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Nuclear Physics. B
1 Journal of Geometry and Physics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 BIT
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Mathematika
1 Monatshefte für Mathematik
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Computational Mathematics and Mathematical Physics
1 Annals of Physics
1 Bulletin of the American Mathematical Society. New Series
1 New Zealand Journal of Mathematics
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Advances in Computational Mathematics
1 Differential Equations and Dynamical Systems
1 Open Systems & Information Dynamics
1 Journal of Integer Sequences
1 Communications of the Korean Mathematical Society
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of High Energy Physics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Integers
1 Journal of the Australian Mathematical Society
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Scientia. Series A: Mathematical Sciences. New Series
1 Discrete and Continuous Dynamical Systems. Series S
1 Tbilisi Mathematical Journal
1 Afrika Matematika
1 Numerical Algebra, Control and Optimization
1 Journal of Applied Analysis and Computation
1 Axioms
1 International Journal of Applied and Computational Mathematics
1 Research in Number Theory
all top 5

Cited in 36 Fields

104 Number theory (11-XX)
61 Special functions (33-XX)
24 Partial differential equations (35-XX)
19 Combinatorics (05-XX)
15 Numerical analysis (65-XX)
14 Quantum theory (81-XX)
10 Functions of a complex variable (30-XX)
10 Approximations and expansions (41-XX)
9 Real functions (26-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 Sequences, series, summability (40-XX)
6 Probability theory and stochastic processes (60-XX)
5 Ordinary differential equations (34-XX)
5 Computer science (68-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Integral transforms, operational calculus (44-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Difference and functional equations (39-XX)
2 Fluid mechanics (76-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year