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Author ID: cohl.howard-s Recent zbMATH articles by "Cohl, Howard Saul"
Published as: Cohl, Howard S.; Cohl, H. S.
Homepage: http://www.nist.gov/itl/math/msg/howard-s-cohl.cfm
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 139 times in 92 Documents Cited by Year
Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function. Zbl 1200.35057
Conway, John T.; Cohl, Howard S.
11
2010
Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry. Zbl 1238.31006
Cohl, H. S.; Kalnins, E. G.
10
2012
Developments in determining the gravitational potential using toroidal functions. Zbl 0990.70012
Cohl, H. S.; Tohline, J. E.; Rau, A. R. P.; Srivastava, H. M.
9
2000
On a generalization of the generating function for Gegenbauer polynomials. Zbl 1280.35003
Cohl, Howard S.
9
2013
Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems. Zbl 1270.35009
Cohl, Howard S.
8
2013
Generalized Heine’s identity for complex Fourier series of binomials. Zbl 1219.33008
Cohl, Howard S.; Dominici, Diego E.
6
2011
Fundamental solution of Laplace’s equation in hyperspherical geometry. Zbl 1244.35002
Cohl, Howard S.
6
2011
Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature. Zbl 1406.35106
Cohl, Howard S.; Dang, Thinh H.; Dunster, T. M.
6
2018
Separation of variables in an asymmetric cyclidic coordinate system. Zbl 1286.35081
Cohl, H. S.; Volkmer, H.
6
2013
Growing the digital repository of mathematical formulae with generic LATEX sources. Zbl 1417.68204
Cohl, Howard S.; Schubotz, Moritz; McClain, Marjorie A.; Saunders, Bonita V.; Zou, Cherry Y.; Mohammed, Azeem S.; Danoff, Alex A.
5
2015
Eigenfunction expansions for a fundamental solution of Laplace’s equation on \(R^{3}\) in parabolic and elliptic cylinder coordinates. Zbl 1250.35071
Cohl, H. S.; Volkmer, H.
5
2012
Digital repository of mathematical formulae. Zbl 1304.68194
Cohl, Howard S.; McClain, Marjorie A.; Saunders, Bonita V.; Schubotz, Moritz; Williams, Janelle C.
4
2014
Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation. Zbl 1412.35008
Cohl, Howard S.
4
2013
Derivatives with respect to the degree and order of associated Legendre functions for \(|z|>1\) using modified Bessel functions. Zbl 1195.31006
Cohl, Howard S.
4
2010
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals. Zbl 1306.33016
Cohl, Howard S.; MacKenzie, Connor; Volkmer, Hans
4
2013
Expansions for a fundamental solution of Laplace’s equation on \(\mathbb{R}^{3}\) in 5-cyclidic harmonics. Zbl 1304.35211
Cohl, Howard S.; Volkmer, Hans
3
2014
Fourier and Gegenbauer expansions for a fundamental solution of Laplace’s equation in hyperspherical geometry. Zbl 1311.31005
Cohl, Howard S.; Palmer, Rebekah M.
3
2015
On a generalization of the Rogers generating function. Zbl 1461.33007
Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V.
3
2019
Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials. Zbl 1456.33013
Cohl, Howard S.; Costas-Santos, Roberto S.; Ge, Linus
3
2020
Multi-integral representations for associated Legendre and Ferrers functions. Zbl 1456.33009
Cohl, Howard S.; Costas-Santos, Roberto S.
3
2020
Expansion for a fundamental solution of Laplace’s equation in flat-ring cyclide coordinates. Zbl 1497.35099
Bi, Lijuan; Cohl, Howard S.; Volkmer, Hans
3
2022
On parameter differentiation for integral representations of associated Legendre functions. Zbl 1218.31008
Cohl, Howard S.
2
2011
Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals. Zbl 1412.33017
Cohl, Howard S.; MacKenzie, Connor
2
2013
Connecting islands: bridging zbMATH and DLMF with Scholix, a blueprint for connecting expert knowledge systems. Zbl 1482.68272
Cohl, Howard S.; Teschke, Olaf; Schubotz, Moritz
2
2021
Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme. Zbl 1331.33012
Baeder, Michael A.; Cohl, Howard S.; Volkmer, Hans
2
2015
VMEXT: a visualization tool for mathematical expression trees. Zbl 1367.68310
Schubotz, Moritz; Meuschke, Norman; Hepp, Thomas; Cohl, Howard S.; Gipp, Bela
2
2017
Semantic preserving bijective mappings of mathematical formulae between document preparation systems and computer algebra systems. Zbl 1367.68333
Cohl, Howard S.; Schubotz, Moritz; Youssef, Abdou; Greiner-Petter, André; Gerhard, Jürgen; Saunders, Bonita V.; McClain, Marjorie A.; Bang, Joon; Chen, Kevin
2
2017
Gauss hypergeometric representations of the Ferrers function of the second kind. Zbl 1471.33004
Cohl, Howard S.; Park, Justin; Volkmer, Hans
2
2021
Automated symbolic and numerical testing of DLMF formulae using computer algebra systems. Zbl 1417.68272
Cohl, Howard S.; Greiner-Petter, André; Schubotz, Moritz
1
2018
MathTools: an open API for convenient MathML handling. Zbl 1417.68205
Greiner-Petter, André; Schubotz, Moritz; Cohl, Howard S.; Gipp, Bela
1
2018
Definite integrals using orthogonality and integral transforms. Zbl 1276.26024
Cohl, Howard S.; Volkmer, Hans
1
2012
Convergence of Magnus integral addition theorems for confluent hypergeometric functions. Zbl 1414.33008
Cohl, Howard S.; Hirtenstein, Jessica E.; Volkmer, Hans
1
2016
Report from the open problems session at OPSFA13. Zbl 1344.30003
Cohl, Howard S.
1
2016
Some generating functions for \(q\)-polynomials. Zbl 1425.33009
Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V.
1
2018
On the relation between Gegenbauer polynomials and the Ferrers function of the first kind. Zbl 1513.33010
Cohl, H. S.; Costas-Santos, R. S.
1
2022
The legacy of Dick Askey (1933–2019). Zbl 1493.01048
Cohl, Howard S.; Ismail, Mourad E. H.; Wu, Hung-Hsi
1
2022
Peanut harmonic expansion for a fundamental solution of Laplace’s equation in flat-ring coordinates. Zbl 1524.35024
Bi, L.; Cohl, H. S.; Volkmer, H.
1
2022
Utility of integral representations for basic hypergeometric functions and orthogonal polynomials. Zbl 07695122
Cohl, Howard S.; Costas-Santos, Roberto S.
1
2023
Utility of integral representations for basic hypergeometric functions and orthogonal polynomials. Zbl 07695122
Cohl, Howard S.; Costas-Santos, Roberto S.
1
2023
Expansion for a fundamental solution of Laplace’s equation in flat-ring cyclide coordinates. Zbl 1497.35099
Bi, Lijuan; Cohl, Howard S.; Volkmer, Hans
3
2022
On the relation between Gegenbauer polynomials and the Ferrers function of the first kind. Zbl 1513.33010
Cohl, H. S.; Costas-Santos, R. S.
1
2022
The legacy of Dick Askey (1933–2019). Zbl 1493.01048
Cohl, Howard S.; Ismail, Mourad E. H.; Wu, Hung-Hsi
1
2022
Peanut harmonic expansion for a fundamental solution of Laplace’s equation in flat-ring coordinates. Zbl 1524.35024
Bi, L.; Cohl, H. S.; Volkmer, H.
1
2022
Connecting islands: bridging zbMATH and DLMF with Scholix, a blueprint for connecting expert knowledge systems. Zbl 1482.68272
Cohl, Howard S.; Teschke, Olaf; Schubotz, Moritz
2
2021
Gauss hypergeometric representations of the Ferrers function of the second kind. Zbl 1471.33004
Cohl, Howard S.; Park, Justin; Volkmer, Hans
2
2021
Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials. Zbl 1456.33013
Cohl, Howard S.; Costas-Santos, Roberto S.; Ge, Linus
3
2020
Multi-integral representations for associated Legendre and Ferrers functions. Zbl 1456.33009
Cohl, Howard S.; Costas-Santos, Roberto S.
3
2020
On a generalization of the Rogers generating function. Zbl 1461.33007
Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V.
3
2019
Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature. Zbl 1406.35106
Cohl, Howard S.; Dang, Thinh H.; Dunster, T. M.
6
2018
Automated symbolic and numerical testing of DLMF formulae using computer algebra systems. Zbl 1417.68272
Cohl, Howard S.; Greiner-Petter, André; Schubotz, Moritz
1
2018
MathTools: an open API for convenient MathML handling. Zbl 1417.68205
Greiner-Petter, André; Schubotz, Moritz; Cohl, Howard S.; Gipp, Bela
1
2018
Some generating functions for \(q\)-polynomials. Zbl 1425.33009
Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V.
1
2018
VMEXT: a visualization tool for mathematical expression trees. Zbl 1367.68310
Schubotz, Moritz; Meuschke, Norman; Hepp, Thomas; Cohl, Howard S.; Gipp, Bela
2
2017
Semantic preserving bijective mappings of mathematical formulae between document preparation systems and computer algebra systems. Zbl 1367.68333
Cohl, Howard S.; Schubotz, Moritz; Youssef, Abdou; Greiner-Petter, André; Gerhard, Jürgen; Saunders, Bonita V.; McClain, Marjorie A.; Bang, Joon; Chen, Kevin
2
2017
Convergence of Magnus integral addition theorems for confluent hypergeometric functions. Zbl 1414.33008
Cohl, Howard S.; Hirtenstein, Jessica E.; Volkmer, Hans
1
2016
Report from the open problems session at OPSFA13. Zbl 1344.30003
Cohl, Howard S.
1
2016
Growing the digital repository of mathematical formulae with generic LATEX sources. Zbl 1417.68204
Cohl, Howard S.; Schubotz, Moritz; McClain, Marjorie A.; Saunders, Bonita V.; Zou, Cherry Y.; Mohammed, Azeem S.; Danoff, Alex A.
5
2015
Fourier and Gegenbauer expansions for a fundamental solution of Laplace’s equation in hyperspherical geometry. Zbl 1311.31005
Cohl, Howard S.; Palmer, Rebekah M.
3
2015
Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme. Zbl 1331.33012
Baeder, Michael A.; Cohl, Howard S.; Volkmer, Hans
2
2015
Digital repository of mathematical formulae. Zbl 1304.68194
Cohl, Howard S.; McClain, Marjorie A.; Saunders, Bonita V.; Schubotz, Moritz; Williams, Janelle C.
4
2014
Expansions for a fundamental solution of Laplace’s equation on \(\mathbb{R}^{3}\) in 5-cyclidic harmonics. Zbl 1304.35211
Cohl, Howard S.; Volkmer, Hans
3
2014
On a generalization of the generating function for Gegenbauer polynomials. Zbl 1280.35003
Cohl, Howard S.
9
2013
Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems. Zbl 1270.35009
Cohl, Howard S.
8
2013
Separation of variables in an asymmetric cyclidic coordinate system. Zbl 1286.35081
Cohl, H. S.; Volkmer, H.
6
2013
Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation. Zbl 1412.35008
Cohl, Howard S.
4
2013
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals. Zbl 1306.33016
Cohl, Howard S.; MacKenzie, Connor; Volkmer, Hans
4
2013
Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals. Zbl 1412.33017
Cohl, Howard S.; MacKenzie, Connor
2
2013
Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry. Zbl 1238.31006
Cohl, H. S.; Kalnins, E. G.
10
2012
Eigenfunction expansions for a fundamental solution of Laplace’s equation on \(R^{3}\) in parabolic and elliptic cylinder coordinates. Zbl 1250.35071
Cohl, H. S.; Volkmer, H.
5
2012
Definite integrals using orthogonality and integral transforms. Zbl 1276.26024
Cohl, Howard S.; Volkmer, Hans
1
2012
Generalized Heine’s identity for complex Fourier series of binomials. Zbl 1219.33008
Cohl, Howard S.; Dominici, Diego E.
6
2011
Fundamental solution of Laplace’s equation in hyperspherical geometry. Zbl 1244.35002
Cohl, Howard S.
6
2011
On parameter differentiation for integral representations of associated Legendre functions. Zbl 1218.31008
Cohl, Howard S.
2
2011
Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function. Zbl 1200.35057
Conway, John T.; Cohl, Howard S.
11
2010
Derivatives with respect to the degree and order of associated Legendre functions for \(|z|>1\) using modified Bessel functions. Zbl 1195.31006
Cohl, Howard S.
4
2010
Developments in determining the gravitational potential using toroidal functions. Zbl 0990.70012
Cohl, H. S.; Tohline, J. E.; Rau, A. R. P.; Srivastava, H. M.
9
2000
all top 5

Cited by 151 Authors

23 Cohl, Howard Saul
7 Schubotz, Moritz
7 Volkmer, Hans W.
6 Costas-Santos, Roberto S.
5 Teschke, Olaf
3 O’Neil, Michael
3 Szmytkowski, Radosław
2 Bi, Lijuan
2 Demni, Nizar
2 Dunster, T. M.
2 Durand, Loyal III
2 Gipp, Bela
2 Greiner-Petter, André
2 Hulek, Klaus
2 Kim, Keun-Young
2 Kirchbach, Mariana
2 Mavlyaviev, Rinat Mizkhatovich
2 McClain, Marjorie A.
2 Ritter, Lisa
2 Salman, Yehonatan
2 Saunders, Bonita V.
2 Vafeas, Panayiotis
2 Vallejo, José Antonio
2 Youssef, Abdou S.
1 Ahn, Yongjun
1 Aizawa, Akiko N.
1 Albesiano, Roberto
1 Alici, Haydar
1 Alladi, Krishnaswami
1 Arista, Jonas
1 Ashtab, Z.
1 Baeder, Michael A.
1 Bakaleinikov, Leonid
1 Bang, Joon
1 Barnett, Alex H.
1 Beck, Marco
1 Beckenbach, Isabel
1 Bhatta, Atanu
1 Brychkov, Yury A.
1 Bubanja, Vladimir
1 Cagliero, Leandro
1 Calcagni, Gianluca
1 Campbell, John Maxwell
1 Cerfon, Antoine J.
1 Chaabi, Slah
1 Chapling, Richard
1 Conway, John Thomas
1 Cvitković, Mislav
1 Dang, Thinh H.
1 Danoff, Alex A.
1 D’Aurizio, Jacopo
1 Diacu, Florin Nicolae
1 Dick, Josef
1 Ding, Ping-Ping
1 Dritschel, David Gerard
1 Ehler, Martin
1 Ehsani, Dariush
1 Emery, Xavier
1 Epstein, Charles Lawrence
1 Fetecau, Razvan C.
1 Fontana, Luigi
1 Garritano, James
1 Garvan, Frank G.
1 Gerhard, Jürgen
1 Gräf, Manuel
1 Greengard, Leslie F.
1 Hartmann, Thomas
1 Helsing, Johan
1 Hepp, Thomas
1 Hirtenstein, Jessica E.
1 Hirtenstein, Jessie E.
1 Ibrahim, Slim
1 Ismail, Mourad El-Houssieny
1 Jahnke, Viktor
1 Jeong, Hyun-Sik
1 Johansson, Fredrik
1 Khuri, Suheil A.
1 Kluger, Yuval
1 Kobayashi, Toshiyuki
1 Koornwinder, Tom H.
1 Krattenthaler, Christian Friedrich
1 Lai, Jun
1 Lawrence, James
1 Lee, Kyung-Sun
1 Leontiev, Alex
1 Lesselier, Dominique
1 Li, Peijin
1 Lin, Junshan
1 Lind, Crystal
1 Liu, Tianye
1 Liu, Yuxiang
1 Lu, Wangtao
1 Luo, Minjie
1 Luo, Qinghong
1 Ma, Hongyan
1 MacKenzie, Connor
1 Malits, Pinchas
1 Mannheim, Philip D.
1 Masjed-Jamei, Mohammad
1 Meuschke, Norman
...and 51 more Authors
all top 5

Cited in 44 Serials

8 Journal of Mathematical Analysis and Applications
8 Integral Transforms and Special Functions
6 Journal of Computational Physics
5 Journal of High Energy Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Mathematical Physics
3 European Mathematical Society Newsletter
3 The Ramanujan Journal
3 Journal of Physics A: Mathematical and Theoretical
3 Analysis and Mathematical Physics
2 Analysis Mathematica
2 Constructive Approximation
2 Journal of Classical Analysis
2 European Mathematical Society Magazine
1 Communications in Mathematical Physics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theory of Probability and its Applications
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Advances in Applied Mathematics
1 Physica D
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 Tatra Mountains Mathematical Publications
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Journal of Mathematical Chemistry
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Multiscale Modeling & Simulation
1 Analysis and Applications (Singapore)
1 Advances in Difference Equations
1 Mathematical Biosciences and Engineering
1 Complex Variables and Elliptic Equations
1 Scientia. Series A: Mathematical Sciences. New Series
1 Applicable Analysis and Discrete Mathematics
1 Journal of Function Spaces
1 European Journal of Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year

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