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Burchnall, J. L.

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Author ID: burchnall.j-l Recent zbMATH articles by "Burchnall, J. L."
Published as: Burchnall, J. L.
External Links: MGP · Wikidata
Documents Indexed: 32 Publications since 1923

Co-Authors

14 single-authored
17 Chaundy, Theodore William
1 Lakin, A.

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 348 times in 258 Documents Cited by Year
Commutative ordinary differential operators. JFM 49.0311.03
Burchnall, J. L.; Chaundy, T. W.
94
1923
Commutative ordinary differential operators. JFM 54.0439.01
Burchnall, J. L.; Chaundy, T. W.
65
1928
Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001
Burchnall, J. L.; Chaundy, T. W.
41
1941
Expansions of Appell’s double hypergeometric functions. Zbl 0025.16301
Burchnall, J. L.; Chaundy, T. W.
30
1940
Commutative ordinary differential operators. II. The identity \(P^n=Q^m\). Zbl 0003.25701
Burchnall, J. L.; Chaundy, T. W.
23
1931
The Bessel polynomials. Zbl 0042.07703
Burchnall, J. L.
19
1951
A note on the polynomials of Hermite. Zbl 0027.05301
Burchnall, J. L.
18
1941
A set of differential equations which can be solved by polynomials. JFM 56.0384.03
Burchnall, J. L.; Chaundy, T. W.
11
1930
Expansions of Appell’s double hypergeometric functions. JFM 66.0326.01
Burchnall, J. L.; Chaundy, T. W.
8
1940
A note on the polynomials of Hermite. JFM 67.0236.03
Burchnall, J. L.
7
1941
Differential equations associated with hypergeometric functions. Zbl 0063.00660
Burchnall, J. L.
6
1942
Some determinants with hypergeometric elements. Zbl 0047.07102
Burchnall, J. L.
4
1952
The hypergeometric identities of Cayley, Orr, and Bailey. Zbl 0031.39102
Burchnall, J. L.; Chaundy, T. W.
4
1948
Expansions of Appell’s double hypergeometric functions. II. JFM 67.1017.01
Burchnall, J. L.; Chaundy, T. W.
4
1941
Commutative ordinary differential operators. II: The identity \(P^n = Q^m\). JFM 57.0478.01
Burchnall, J. L.; Chaundy, T. W.
4
1931
An algebraic property of the classical polynomials. Zbl 0043.07401
Burchnall, J. L.
3
1951
The theorems of Saalschütz und Dougall. Zbl 0040.03401
Burchnall, J. L.; Lakin, A.
3
1950
A type of “magic square” in Tarry’s problem. Zbl 0017.10201
Burchnall, J. L.; Chaundy, T. W.
2
1937
A method of evaluating certain determinants. Zbl 0057.05603
Burchnall, J. L.
1
1954
On the well-poised \(_3F_2\). Zbl 0039.07203
Burchnall, J. L.
1
1949
A method of evaluating certain determinants. Zbl 0057.05603
Burchnall, J. L.
1
1954
Some determinants with hypergeometric elements. Zbl 0047.07102
Burchnall, J. L.
4
1952
The Bessel polynomials. Zbl 0042.07703
Burchnall, J. L.
19
1951
An algebraic property of the classical polynomials. Zbl 0043.07401
Burchnall, J. L.
3
1951
The theorems of Saalschütz und Dougall. Zbl 0040.03401
Burchnall, J. L.; Lakin, A.
3
1950
On the well-poised \(_3F_2\). Zbl 0039.07203
Burchnall, J. L.
1
1949
The hypergeometric identities of Cayley, Orr, and Bailey. Zbl 0031.39102
Burchnall, J. L.; Chaundy, T. W.
4
1948
Differential equations associated with hypergeometric functions. Zbl 0063.00660
Burchnall, J. L.
6
1942
Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001
Burchnall, J. L.; Chaundy, T. W.
41
1941
A note on the polynomials of Hermite. Zbl 0027.05301
Burchnall, J. L.
18
1941
A note on the polynomials of Hermite. JFM 67.0236.03
Burchnall, J. L.
7
1941
Expansions of Appell’s double hypergeometric functions. II. JFM 67.1017.01
Burchnall, J. L.; Chaundy, T. W.
4
1941
Expansions of Appell’s double hypergeometric functions. Zbl 0025.16301
Burchnall, J. L.; Chaundy, T. W.
30
1940
Expansions of Appell’s double hypergeometric functions. JFM 66.0326.01
Burchnall, J. L.; Chaundy, T. W.
8
1940
A type of “magic square” in Tarry’s problem. Zbl 0017.10201
Burchnall, J. L.; Chaundy, T. W.
2
1937
Commutative ordinary differential operators. II. The identity \(P^n=Q^m\). Zbl 0003.25701
Burchnall, J. L.; Chaundy, T. W.
23
1931
Commutative ordinary differential operators. II: The identity \(P^n = Q^m\). JFM 57.0478.01
Burchnall, J. L.; Chaundy, T. W.
4
1931
A set of differential equations which can be solved by polynomials. JFM 56.0384.03
Burchnall, J. L.; Chaundy, T. W.
11
1930
Commutative ordinary differential operators. JFM 54.0439.01
Burchnall, J. L.; Chaundy, T. W.
65
1928
Commutative ordinary differential operators. JFM 49.0311.03
Burchnall, J. L.; Chaundy, T. W.
94
1923
all top 5

Cited by 301 Authors

18 Srivastava, Hari Mohan
9 Gesztesy, Fritz
8 Previato, Emma
7 Ismail, Mourad El-Houssieny
6 Chatterjea, Santi Kumar
6 Hasanov, Anvar H.
5 Oganesyan, Vardan S.
5 Shabat, Alekseĭ Borisovich
5 Veselov, Alexander Petrovich
5 Weikard, Rudi
4 Èrgashev, Tukhtasin Gulamzhanovich
4 Ernst, Thomas
4 Krichever, Igor’ Moiseevich
4 Wilson, George
4 Winternitz, Pavel
4 Zheglov, Alexander B.
3 Chen, Zhijie
3 Cherednik, Ivan V.
3 Ergashev, Tuhtasin Gulamjanovich
3 Grünbaum, Francisco Alberto
3 Kasman, Alex
3 Lin, Chang-Shou
3 Matsutani, Shigeki
3 O’Neil, Kevin Anthony
3 Plyushchay, Mikhail S.
3 Qureshi, Mohammad Idris
3 Rathie, Arjun Kumar
3 Rothstein, Mitchell J.
3 Silvestrov, Sergei D.
3 Turaev, Mamasali
3 Zurro, María-Angeles
2 Chalub, Fabio A. C. C.
2 Chalykh, Oleg A.
2 Dale, Pat
2 Davletshina, Valentina N.
2 Dickson, Ronnie
2 Elkanova, Z. S.
2 Gasaneo, Gustavo
2 Ghanmi, Allal
2 Iliev, Plamen
2 Khan, Mumtaz Ahmad
2 Kim, Yong Sup
2 Koelink, Erik
2 Komarov, Mikhaĭl Anatol’evich
2 Loutsenko, Igor M.
2 Mansour, Toufik
2 Mateos Guilarte, Juan
2 Mironov, Andreĭ Evgen’evich
2 Morales-Ruiz, Juan José
2 Qureshi, Muhammad Imran
2 Rakha, Medhat Ahmed
2 Richter, Johan
2 Román, Pablo Manuel
2 Rueda, Sonia L.
2 Saxena, Ram Kishore
2 Schimming, Rainer
2 Schork, Matthias
2 Sokolov, Vladimir Vyacheslavovich
2 Unterkofler, Karl
2 Vanhaecke, Pol
2 Vein, P. R.
2 Weiss, John
2 Zettl, Anton
2 Zubelli, Jorge P.
1 Abiodun, R. F. A.
1 Abouamal, Ismail
1 Abul-Dahab, Mohamed
1 Abul-ez, M. A.
1 Adamchik, Victor S.
1 Adler, Mark
1 Adler, Vsevolod Eduardovich
1 Agarwal, Praveen
1 Ahamad, Dilshad
1 Aharmim, Bouchra
1 Ahmad, Naeem
1 Ahmed, Shafique
1 Ali, Mahvish
1 Amal, El Hamyani
1 Ancarani, Lorenzo Ugo
1 Andrews, George Eyre
1 Awad, Mohammed M.
1 Aydi, Hassen
1 Bagderina, Yuliya Yur’evna
1 Bangerezako, Gaspard
1 Barman, Rupam
1 Barnabei, Marilena
1 Batic, Davide
1 Belger, Martin
1 Berdyshev, Abdumauvlen Suleymanovich
1 Berest, Yuri Yu.
1 Berkovich, Lev M.
1 Bhat, Aarif Hussain
1 Bhat, Bilal Ahmad
1 Bin-Saad, Maged Gumaan
1 Boutet de Monvel, Anne Marie
1 Brini, Andrea
1 Brychkov, Yury A.
1 Bukhshtaber, Viktor Matveevich
1 Burban, Igor
1 Burchnall, J. L.
...and 201 more Authors
all top 5

Cited in 107 Serials

16 Journal of Mathematical Physics
14 Journal of Mathematical Analysis and Applications
9 Communications in Mathematical Physics
9 Theoretical and Mathematical Physics
8 Applied Mathematics and Computation
8 Functional Analysis and its Applications
8 Rendiconti del Seminario Matematico della Università di Padova
6 Integral Transforms and Special Functions
6 Journal of High Energy Physics
5 Advances in Applied Mathematics
5 Acta Applicandae Mathematicae
5 South East Asian Journal of Mathematics and Mathematical Sciences
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Computers & Mathematics with Applications
4 Mathematical Notes
4 Acta Mathematica
4 Journal of Computational and Applied Mathematics
4 Mathematische Zeitschrift
4 Transactions of the American Mathematical Society
4 Physica D
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Reviews in Mathematical Physics
3 Journal of Algebra
3 Journal of Soviet Mathematics
3 Siberian Mathematical Journal
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Mathematische Nachrichten
2 Proceedings of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Studies in Applied Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 The Ramanujan Journal
2 Mathematical Physics, Analysis and Geometry
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Regular and Chaotic Dynamics
2 Lobachevskii Journal of Mathematics
2 Journal of Nonlinear Mathematical Physics
2 Complex Variables and Elliptic Equations
1 International Journal of Modern Physics A
1 Archive for Rational Mechanics and Analysis
1 Astrophysics and Space Science
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Ukrainian Mathematical Journal
1 Publications Mathématiques
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 Mathematika
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Tohoku Mathematical Journal. Second Series
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 European Journal of Combinatorics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics Letters
1 International Journal of Mathematics
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 St. Petersburg Mathematical Journal
1 Journal of the Egyptian Mathematical Society
1 Selecta Mathematica. New Series
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Differential Equations
1 Advances in Difference Equations
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Bulletin of the American Mathematical Society
1 Mathematics in Computer Science
1 Complex Analysis and Operator Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Modelling of Natural Phenomena
1 International Journal of Combinatorics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
...and 7 more Serials
all top 5

Cited in 40 Fields

89 Special functions (33-XX)
66 Partial differential equations (35-XX)
54 Dynamical systems and ergodic theory (37-XX)
40 Ordinary differential equations (34-XX)
39 Algebraic geometry (14-XX)
30 Operator theory (47-XX)
23 Quantum theory (81-XX)
13 Commutative algebra (13-XX)
12 Combinatorics (05-XX)
12 Associative rings and algebras (16-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Number theory (11-XX)
7 Field theory and polynomials (12-XX)
6 Mechanics of particles and systems (70-XX)
6 Fluid mechanics (76-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral transforms, operational calculus (44-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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