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Barnes, Ernest William (b. 1874 d. 1953)

Author ID: barnes.e-w Recent zbMATH articles by "Barnes, Ernest William"
Published as: Barnes, E. W.; Barnes, Ernest William
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 36 Publications since 1897, including 1 Book
Biographic References: 1 Publication
Co-Authors: 8 Co-Authors with 1 Joint Publication
77 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 662 times in 473 Documents Cited by Year
On the theory of the multiple Gamma function. JFM 35.0462.01
Barnes, E. W.
138
1904
The theory of the \(G\)-function. JFM 30.0389.02
Barnes, E. W.
131
1900
The theory of the double gamma function. JFM 32.0442.02
Barnes, E. W.
128
1901
The genesis of the double gamma functions. JFM 30.0389.03
Barnes, E. W.
81
1899
A new development of the theory of the hypergeometric functions. JFM 39.0506.01
Barnes, E. W.
62
1908
The asymptotic expansion of integral functions defined by generalised hypergeometric series. JFM 38.0449.01
Barnes, E. W.
32
1907
A transformation of generalised hypergeometric series. JFM 41.0503.01
Barnes, E. W.
31
1910
The asymptotic expansion of integral functions definied by Taylor’s series. JFM 37.0427.01
Barnes, E. W.
11
1906
The theory of the double gamma Function. JFM 31.0441.01
Barnes, E. W.
8
1900
The theory of the Gamma Function. JFM 30.0389.01
Barnes, E. W.
8
1899
The Maclaurin sum-formula. JFM 36.0328.03
Barnes, E. W.
5
1905
The linear difference equation of the first order. JFM 36.0406.04
Barnes, E. W.
4
1905
On generalized Legendre functions. JFM 39.0528.02
Barnes, E. W.
3
1908
On functions defined by simple types of hypergeometric series. JFM 38.0473.02
Barnes, E. W.
3
1907
On the classification of integral functions. JFM 34.0439.03
Barnes, E. W.
3
1903
Contributions to a British Association discussion on the evolution of the universe. Zbl 0002.43705
Jeans, James; Lemaitre, G.; De Sitter, W.; Eddington, Arthur; Millikan, Robert A.; Milne, E. A.; Smuts, J. C.; Barnes, E. W.; Lodge, Oliver
3
1931
On the homogeneons linear difference equation of the second order with linear coefficients. JFM 35.0348.01
Barnes, E. W.
2
1904
Scientific theory and religion, the world described by science and its spiritual interpretation. JFM 59.0066.14
Barnes, Ernest William
1
1933
On certain functions defined by Taylor’s series of finite radius of convergence. JFM 37.0427.02
Barnes, E. W.
1
1906
The asymptotic expansion of integral functions of finite non-zero order. JFM 36.0477.03
Barnes, E. W.
1
1905
On functions generated by linear difference equations of the first order. JFM 35.0347.01
Barnes, E. W.
1
1904
On the asymptotic expansion of integral functions of multiple linear sequence. JFM 35.0440.02
Barnes, E. W.
1
1904
The generalisation of the Maclaurin sum formula, and the range of its applicability. JFM 34.0285.03
Barnes, E. W.
1
1903
On the expression of Euler’s constant as a definite integral. JFM 34.0334.02
Barnes, E. W.
1
1903
A memoir of integral functions. JFM 33.0413.01
Barnes, E. W.
1
1902
A new proof of Picard’s theorem. JFM 28.0291.01
Barnes, E. W.
1
1897
Scientific theory and religion, the world described by science and its spiritual interpretation. JFM 59.0066.14
Barnes, Ernest William
1
1933
Contributions to a British Association discussion on the evolution of the universe. Zbl 0002.43705
Jeans, James; Lemaitre, G.; De Sitter, W.; Eddington, Arthur; Millikan, Robert A.; Milne, E. A.; Smuts, J. C.; Barnes, E. W.; Lodge, Oliver
3
1931
A transformation of generalised hypergeometric series. JFM 41.0503.01
Barnes, E. W.
31
1910
A new development of the theory of the hypergeometric functions. JFM 39.0506.01
Barnes, E. W.
62
1908
On generalized Legendre functions. JFM 39.0528.02
Barnes, E. W.
3
1908
The asymptotic expansion of integral functions defined by generalised hypergeometric series. JFM 38.0449.01
Barnes, E. W.
32
1907
On functions defined by simple types of hypergeometric series. JFM 38.0473.02
Barnes, E. W.
3
1907
The asymptotic expansion of integral functions definied by Taylor’s series. JFM 37.0427.01
Barnes, E. W.
11
1906
On certain functions defined by Taylor’s series of finite radius of convergence. JFM 37.0427.02
Barnes, E. W.
1
1906
The Maclaurin sum-formula. JFM 36.0328.03
Barnes, E. W.
5
1905
The linear difference equation of the first order. JFM 36.0406.04
Barnes, E. W.
4
1905
The asymptotic expansion of integral functions of finite non-zero order. JFM 36.0477.03
Barnes, E. W.
1
1905
On the theory of the multiple Gamma function. JFM 35.0462.01
Barnes, E. W.
138
1904
On the homogeneons linear difference equation of the second order with linear coefficients. JFM 35.0348.01
Barnes, E. W.
2
1904
On functions generated by linear difference equations of the first order. JFM 35.0347.01
Barnes, E. W.
1
1904
On the asymptotic expansion of integral functions of multiple linear sequence. JFM 35.0440.02
Barnes, E. W.
1
1904
On the classification of integral functions. JFM 34.0439.03
Barnes, E. W.
3
1903
The generalisation of the Maclaurin sum formula, and the range of its applicability. JFM 34.0285.03
Barnes, E. W.
1
1903
On the expression of Euler’s constant as a definite integral. JFM 34.0334.02
Barnes, E. W.
1
1903
A memoir of integral functions. JFM 33.0413.01
Barnes, E. W.
1
1902
The theory of the double gamma function. JFM 32.0442.02
Barnes, E. W.
128
1901
The theory of the \(G\)-function. JFM 30.0389.02
Barnes, E. W.
131
1900
The theory of the double gamma Function. JFM 31.0441.01
Barnes, E. W.
8
1900
The genesis of the double gamma functions. JFM 30.0389.03
Barnes, E. W.
81
1899
The theory of the Gamma Function. JFM 30.0389.01
Barnes, E. W.
8
1899
A new proof of Picard’s theorem. JFM 28.0291.01
Barnes, E. W.
1
1897
all top 5

Cited by 551 Authors

22 Choi, Junesang
19 Srivastava, Hari Mohan
17 Kurokawa, Nobushige
11 Blümlein, Johannes
9 Schneider, Carsten
7 Chen, Chaoping
7 Chen, Yang
7 Pedersen, Henrik Laurberg
6 Ablinger, Jakob
6 Das, Sourav
6 De Freitas, Abilio
6 Kim, Hyun Kyu
6 Spiridonov, Vyacheslav Pavlovich
6 Stade, Eric
6 Teschner, Jörg
5 Kirsten, Klaus
5 Min, Chao
5 Mkrtchyan, Ruben L.
5 Ponsot, Bénédicte
5 Tanaka, Hidekazu
5 Wakayama, Masato
5 Young, Paul Thomas
4 Basor, Estelle L.
4 Bogolyubov, Nikolaĭ Mikhaĭlovich
4 Dimofte, Tudor Dan
4 Forrester, Peter J.
4 Hajli, Mounir
4 Kels, Andrew P.
4 Lu, Dawei
4 Meijer, Cornelis Simon
4 Mishev, Ilia D.
4 Mortici, Cristinel
4 Quine, John R.
4 Schönwald, Kay
4 Tangedal, Brett A.
4 Yang, Di
3 Adamchik, Victor S.
3 Alim, Murad
3 Bayad, Abdelmejid
3 Chernyshev, Vsevolod L.
3 Cimpoeaş, Mircea
3 Fucci, Guglielmo
3 Green, Richard M.
3 Kondrashuk, Igor
3 Koumandos, Stamatis
3 Koyama, Shin-ya
3 Kozlowski, Karol Kajetan
3 Kuznetsov, Alexey
3 Lagarias, Jeffrey C.
3 McDonald, James B.
3 Mironov, Andrei D.
3 Morozov, Alexei Yurievich
3 Nishizawa, Michitomo
3 Ragab, Fouad M.
3 Sarkissian, Gor
3 Sarria, Alejandro
3 Swaminathan, Anbhu
3 Tierz, Miguel
3 Tolchennikov, Anton A.
3 Vartanov, Grigory S.
3 Zhang, Changgui
2 Álvarez, Gabriel
2 Awonusika, Richard Olu
2 Barquero-Sanchez, Adrian
2 Bridgeland, Tom
2 Deift, Percy A.
2 Drukker, Nadav
2 Dubrovin, Boris Anatol’evich
2 Ehrhardt, Torsten
2 Espinoza, Milton
2 Ferreira, Chelo
2 Fields, Jerry Leon
2 Gaiotto, Davide
2 Goedicke, A.
2 Gomis, Jaume
2 González, Iván
2 Gukov, Sergei
2 Han, Xuefeng
2 Hasselhuhn, Alexander
2 Hellerman, Simeon
2 Hovhannisyan, Emma
2 Ishii, Taku
2 Its, Alexander Rudolfovich
2 Joshi, Mohan Chandra
2 Kabluchko, Zakhar A.
2 Kashaev, Rinat M.
2 Keating, Jonathan Peter
2 Kniehl, Bernd A.
2 Kostov, Ivan K.
2 Krasovsky, Igor V.
2 Liu, Songhao
2 López, José Luis
2 Maeda, Shunsuke
2 Martínez Alonso, Luis
2 Masri, Riad
2 Matsumoto, Kohji
2 Medina, Elena
2 Mehrez, Khaled
2 Mimachi, Katsuhisa
2 Nakamura, Takashi
...and 451 more Authors
all top 5

Cited in 160 Serials

35 Journal of High Energy Physics
32 Journal of Number Theory
24 Journal of Mathematical Analysis and Applications
21 Nuclear Physics. B
20 Communications in Mathematical Physics
14 Applied Mathematics and Computation
13 Journal of Mathematical Physics
12 The Ramanujan Journal
11 Advances in Mathematics
9 Letters in Mathematical Physics
9 Proceedings of the Japan Academy. Series A
8 Journal of Statistical Physics
7 Journal of Computational and Applied Mathematics
6 Journal of Geometry and Physics
6 Mathematische Zeitschrift
6 Integral Transforms and Special Functions
6 Journal of Physics A: Mathematical and Theoretical
5 Results in Mathematics
5 Transactions of the American Mathematical Society
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 International Journal of Modern Physics A
4 Annales de l’Institut Fourier
4 Duke Mathematical Journal
4 Mathematische Annalen
4 Monatshefte für Mathematik
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Rocky Mountain Journal of Mathematics
3 Compositio Mathematica
3 Inventiones Mathematicae
3 Journal of Approximation Theory
3 Proceedings of the American Mathematical Society
3 Tokyo Journal of Mathematics
3 Advances in Applied Mathematics
3 Russian Journal of Mathematical Physics
3 Annales Henri Poincaré
3 Journal of Statistical Mechanics: Theory and Experiment
3 International Journal of Number Theory
3 Applicable Analysis and Discrete Mathematics
3 Analysis and Mathematical Physics
2 Lithuanian Mathematical Journal
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Theoretical and Mathematical Physics
2 The Annals of Probability
2 Journal of Combinatorial Theory. Series A
2 Journal of Functional Analysis
2 Kyungpook Mathematical Journal
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Acta Applicandae Mathematicae
2 Aequationes Mathematicae
2 Annals of Physics
2 Journal of Statistical Computation and Simulation
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Expositiones Mathematicae
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Computational Methods and Function Theory
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 Proceedings of the Japan Academy
2 Algebra & Number Theory
2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Research in the Mathematical Sciences
2 Research in Number Theory
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 Information Processing Letters
1 Israel Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Fluid Mechanics
1 Physica A
1 Physics Letters. B
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Prikladnaya Matematika i Mekhanika
1 Acta Arithmetica
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Applied Probability
1 Journal of Differential Geometry
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Kodai Mathematical Journal
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico della Università di Padova
...and 60 more Serials
all top 5

Cited in 49 Fields

161 Number theory (11-XX)
153 Special functions (33-XX)
108 Quantum theory (81-XX)
36 Statistical mechanics, structure of matter (82-XX)
29 Approximations and expansions (41-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
27 Functions of a complex variable (30-XX)
24 Algebraic geometry (14-XX)
23 Probability theory and stochastic processes (60-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Real functions (26-XX)
19 Partial differential equations (35-XX)
19 Operator theory (47-XX)
19 Relativity and gravitational theory (83-XX)
17 Combinatorics (05-XX)
15 Ordinary differential equations (34-XX)
13 Difference and functional equations (39-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Differential geometry (53-XX)
12 Statistics (62-XX)
12 Numerical analysis (65-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Integral transforms, operational calculus (44-XX)
9 Manifolds and cell complexes (57-XX)
8 Nonassociative rings and algebras (17-XX)
8 Topological groups, Lie groups (22-XX)
7 Associative rings and algebras (16-XX)
7 Group theory and generalizations (20-XX)
6 Sequences, series, summability (40-XX)
5 Mathematical logic and foundations (03-XX)
5 Convex and discrete geometry (52-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral equations (45-XX)
4 Fluid mechanics (76-XX)
3 History and biography (01-XX)
2 General and overarching topics; collections (00-XX)
2 Measure and integration (28-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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