Burchnall, J. L.

Compute Distance To:
 Author ID: burchnall.j-l Published as: Burchnall, J. L. External Links: MGP · Wikidata
 Documents Indexed: 32 Publications since 1923 Co-Authors: 2 Co-Authors with 18 Joint Publications 9 Co-Co-Authors

Co-Authors

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

 17 The Quarterly Journal of Mathematics. Oxford Series 5 Proceedings of the London Mathematical Society. Second Series 3 Proceedings of the Royal Society of London. Series A 2 The Quarterly Journal of Mathematics. Oxford Second Series 1 The Mathematical Gazette 1 Canadian Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the London Mathematical Society

Fields

 2 Special functions (33-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX)

Citations contained in zbMATH Open

20 Publications have been cited 378 times in 281 Documents Cited by Year
Commutative ordinary differential operators. JFM 49.0311.03
Burchnall, J. L.; Chaundy, T. W.
1923
Commutative ordinary differential operators. JFM 54.0439.01
Burchnall, J. L.; Chaundy, T. W.
1928
Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001
Burchnall, J. L.; Chaundy, T. W.
1941
Expansions of Appell’s double hypergeometric functions. Zbl 0025.16301
Burchnall, J. L.; Chaundy, T. W.
1940
Commutative ordinary differential operators. II. The identity $$P^n=Q^m$$. Zbl 0003.25701
Burchnall, J. L.; Chaundy, T. W.
1931
The Bessel polynomials. Zbl 0042.07703
Burchnall, J. L.
1951
A note on the polynomials of Hermite. Zbl 0027.05301
Burchnall, J. L.
1941
A set of differential equations which can be solved by polynomials. JFM 56.0384.03
Burchnall, J. L.; Chaundy, T. W.
1930
Expansions of Appell’s double hypergeometric functions. JFM 66.0326.01
Burchnall, J. L.; Chaundy, T. W.
1940
A note on the polynomials of Hermite. JFM 67.0236.03
Burchnall, J. L.
1941
Differential equations associated with hypergeometric functions. Zbl 0063.00660
Burchnall, J. L.
1942
Expansions of Appell’s double hypergeometric functions. II. JFM 67.1017.01
Burchnall, J. L.; Chaundy, T. W.
1941
Some determinants with hypergeometric elements. Zbl 0047.07102
Burchnall, J. L.
1952
The hypergeometric identities of Cayley, Orr, and Bailey. Zbl 0031.39102
Burchnall, J. L.; Chaundy, T. W.
1948
Commutative ordinary differential operators. II: The identity $$P^n = Q^m$$. JFM 57.0478.01
Burchnall, J. L.; Chaundy, T. W.
1931
The theorems of Saalschütz und Dougall. Zbl 0040.03401
Burchnall, J. L.; Lakin, A.
1950
An algebraic property of the classical polynomials. Zbl 0043.07401
Burchnall, J. L.
1951
A type of “magic square” in Tarry’s problem. Zbl 0017.10201
Burchnall, J. L.; Chaundy, T. W.
1937
On the well-poised $$_3F_2$$. Zbl 0039.07203
Burchnall, J. L.
1949
A method of evaluating certain determinants. Zbl 0057.05603
Burchnall, J. L.
1954
A method of evaluating certain determinants. Zbl 0057.05603
Burchnall, J. L.
1954
Some determinants with hypergeometric elements. Zbl 0047.07102
Burchnall, J. L.
1952
The Bessel polynomials. Zbl 0042.07703
Burchnall, J. L.
1951
An algebraic property of the classical polynomials. Zbl 0043.07401
Burchnall, J. L.
1951
The theorems of Saalschütz und Dougall. Zbl 0040.03401
Burchnall, J. L.; Lakin, A.
1950
On the well-poised $$_3F_2$$. Zbl 0039.07203
Burchnall, J. L.
1949
The hypergeometric identities of Cayley, Orr, and Bailey. Zbl 0031.39102
Burchnall, J. L.; Chaundy, T. W.
1948
Differential equations associated with hypergeometric functions. Zbl 0063.00660
Burchnall, J. L.
1942
Expansions of Appell’s double hypergeometric functions. 2. Zbl 0028.15001
Burchnall, J. L.; Chaundy, T. W.
1941
A note on the polynomials of Hermite. Zbl 0027.05301
Burchnall, J. L.
1941
A note on the polynomials of Hermite. JFM 67.0236.03
Burchnall, J. L.
1941
Expansions of Appell’s double hypergeometric functions. II. JFM 67.1017.01
Burchnall, J. L.; Chaundy, T. W.
1941
Expansions of Appell’s double hypergeometric functions. Zbl 0025.16301
Burchnall, J. L.; Chaundy, T. W.
1940
Expansions of Appell’s double hypergeometric functions. JFM 66.0326.01
Burchnall, J. L.; Chaundy, T. W.
1940
A type of “magic square” in Tarry’s problem. Zbl 0017.10201
Burchnall, J. L.; Chaundy, T. W.
1937
Commutative ordinary differential operators. II. The identity $$P^n=Q^m$$. Zbl 0003.25701
Burchnall, J. L.; Chaundy, T. W.
1931
Commutative ordinary differential operators. II: The identity $$P^n = Q^m$$. JFM 57.0478.01
Burchnall, J. L.; Chaundy, T. W.
1931
A set of differential equations which can be solved by polynomials. JFM 56.0384.03
Burchnall, J. L.; Chaundy, T. W.
1930
Commutative ordinary differential operators. JFM 54.0439.01
Burchnall, J. L.; Chaundy, T. W.
1928
Commutative ordinary differential operators. JFM 49.0311.03
Burchnall, J. L.; Chaundy, T. W.
1923
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all top 5

Cited in 119 Serials

 16 Journal of Mathematical Physics 14 Journal of Mathematical Analysis and Applications 9 Communications in Mathematical Physics 9 Theoretical and Mathematical Physics 9 Functional Analysis and its Applications 8 Applied Mathematics and Computation 8 Rendiconti del Seminario Matematico della Università di Padova 7 Integral Transforms and Special Functions 7 Journal of High Energy Physics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Advances in Applied Mathematics 5 Acta Applicandae Mathematicae 5 South East Asian Journal of Mathematics and Mathematical Sciences 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 3 Communications of the Korean Mathematical Society 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Journal of Fluid Mechanics 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 2 Journal of Physics A: Mathematical and Theoretical 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Research in the Mathematical Sciences 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 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 Tôhoku 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 Differential Equations ...and 19 more Serials
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Cited in 39 Fields

 97 Special functions (33-XX) 72 Partial differential equations (35-XX) 56 Dynamical systems and ergodic theory (37-XX) 41 Ordinary differential equations (34-XX) 40 Algebraic geometry (14-XX) 31 Operator theory (47-XX) 28 Quantum theory (81-XX) 14 Associative rings and algebras (16-XX) 13 Combinatorics (05-XX) 13 Commutative algebra (13-XX) 10 Number theory (11-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Field theory and polynomials (12-XX) 8 Fluid mechanics (76-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Integral transforms, operational calculus (44-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-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 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)

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