## Barnes, Ernest William

Compute Distance To:
 Author ID: barnes.e-w 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
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### Co-Authors

 35 single-authored 1 de Sitter, Willem 1 Eddington, Arthur Stanley 1 Jeans, James Hopwood 1 Lemaître, Georges 1 Lodge, Oliver Joseph 1 Millikan, Robert Andrews 1 Milne, Edward Arthur 1 Smuts, J. C.
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### Serials

 8 The Quarterly Journal of Pure and Applied Mathematics 7 Proceedings of the London Mathematical Society. Second Series 3 Philosophical Transactions of the Royal Society of London, Series A 2 Nature, London 2 Proceedings of the Royal Society of London 1 Proceedings of the London Mathematical Society

### Fields

 3 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 440 times in 335 Documents Cited by Year
The theory of the $$G$$-function. JFM 30.0389.02
Barnes, E. W.
1900
The theory of the double gamma function. JFM 32.0442.02
Barnes, E. W.
1901
The genesis of the double gamma functions. JFM 30.0389.03
Barnes, E. W.
1899
A new development of the theory of the hypergeometric functions. JFM 39.0506.01
Barnes, E. W.
1908
On the theory of the multiple Gamma function. JFM 35.0462.01
Barnes, E. W.
1904
The asymptotic expansion of integral functions defined by generalised hypergeometric series. JFM 38.0449.01
Barnes, E. W.
1907
A transformation of generalised hypergeometric series. JFM 41.0503.01
Barnes, E. W.
1910
The asymptotic expansion of integral functions definied by Taylor’s series. JFM 37.0427.01
Barnes, E. W.
1906
The Maclaurin sum-formula. JFM 36.0328.03
Barnes, E. W.
1905
The theory of the double gamma Function. JFM 31.0441.01
Barnes, E. W.
1900
The linear difference equation of the first order. JFM 36.0406.04
Barnes, E. W.
1905
On generalized Legendre functions. JFM 39.0528.02
Barnes, E. W.
1908
On the classification of integral functions. JFM 34.0439.03
Barnes, E. W.
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
1931
The asymptotic expansion of integral functions of finite non-zero order. JFM 36.0477.03
Barnes, E. W.
1905
On functions generated by linear difference equations of the first order. JFM 35.0347.01
Barnes, E. W.
1904
The generalisation of the Maclaurin sum formula, and the range of its applicability. JFM 34.0285.03
Barnes, E. W.
1903
A memoir of integral functions. JFM 33.0413.01
Barnes, E. W.
1902
Scientific theory and religion, the world described by science and its spiritual interpretation. JFM 59.0066.14
Barnes, Ernest William
1933
The theory of the Gamma Function. JFM 30.0389.01
Barnes, E. W.
1899
A new proof of Picard’s theorem. JFM 28.0291.01
Barnes, E. W.
1897
Scientific theory and religion, the world described by science and its spiritual interpretation. JFM 59.0066.14
Barnes, Ernest William
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
1931
A transformation of generalised hypergeometric series. JFM 41.0503.01
Barnes, E. W.
1910
A new development of the theory of the hypergeometric functions. JFM 39.0506.01
Barnes, E. W.
1908
On generalized Legendre functions. JFM 39.0528.02
Barnes, E. W.
1908
The asymptotic expansion of integral functions defined by generalised hypergeometric series. JFM 38.0449.01
Barnes, E. W.
1907
The asymptotic expansion of integral functions definied by Taylor’s series. JFM 37.0427.01
Barnes, E. W.
1906
The Maclaurin sum-formula. JFM 36.0328.03
Barnes, E. W.
1905
The linear difference equation of the first order. JFM 36.0406.04
Barnes, E. W.
1905
The asymptotic expansion of integral functions of finite non-zero order. JFM 36.0477.03
Barnes, E. W.
1905
On the theory of the multiple Gamma function. JFM 35.0462.01
Barnes, E. W.
1904
On functions generated by linear difference equations of the first order. JFM 35.0347.01
Barnes, E. W.
1904
On the classification of integral functions. JFM 34.0439.03
Barnes, E. W.
1903
The generalisation of the Maclaurin sum formula, and the range of its applicability. JFM 34.0285.03
Barnes, E. W.
1903
A memoir of integral functions. JFM 33.0413.01
Barnes, E. W.
1902
The theory of the double gamma function. JFM 32.0442.02
Barnes, E. W.
1901
The theory of the $$G$$-function. JFM 30.0389.02
Barnes, E. W.
1900
The theory of the double gamma Function. JFM 31.0441.01
Barnes, E. W.
1900
The genesis of the double gamma functions. JFM 30.0389.03
Barnes, E. W.
1899
The theory of the Gamma Function. JFM 30.0389.01
Barnes, E. W.
1899
A new proof of Picard’s theorem. JFM 28.0291.01
Barnes, E. W.
1897
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### Cited by 389 Authors

 20 Choi, Junesang 15 Srivastava, Hari Mohan 10 Kurokawa, Nobushige 6 Stade, Eric 5 Chen, Chaoping 5 Das, Sourav 4 Basor, Estelle L. 4 Dimofte, Tudor Dan 4 Kim, Hyun Kyu 4 Lu, Dawei 4 Meijer, Cornelis Simon 4 Mishev, Ilia D. 4 Pedersen, Henrik Laurberg 4 Ponsot, Bénédicte 4 Quine, John R. 4 Wakayama, Masato 3 Adamchik, Victor S. 3 Chen, Yang 3 Forrester, Peter J. 3 Green, Richard M. 3 Kels, Andrew P. 3 Kozlowski, Karol Kajetan 3 Kuznetsov, Alexey 3 McDonald, James B. 3 Mironov, Andrei D. 3 Mkrtchyan, Ruben L. 3 Morozov, Alexei Yurievich 3 Mortici, Cristinel 3 Nishizawa, Michitomo 3 Ragab, Fouad M. 3 Sarria, Alejandro 3 Spiridonov, Vyacheslav Pavlovich 3 Tierz, Miguel 3 Vartanov, Grigory S. 3 Zhang, Changgui 2 Awonusika, Richard Olu 2 Barquero-Sanchez, Adrian 2 Bayad, Abdelmejid 2 Bogolyubov, Nikolaĭ Mikhaĭlovich 2 Bridgeland, Tom 2 Chernyshev, Vsevolod L. 2 Deift, Percy A. 2 Dubrovin, Boris Anatol’evich 2 Ehrhardt, Torsten 2 Ferreira, Chelo 2 Fields, Jerry Leon 2 Gaiotto, Davide 2 González, Iván 2 Gukov, Sergei 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 Kirsten, Klaus 2 Kondrashuk, Igor 2 Kostov, Ivan K. 2 Koumandos, Stamatis 2 Krasovsky, Igor V. 2 Liu, Songhao 2 López, José Luis 2 Maeda, Shunsuke 2 Masri, Riad 2 Mimachi, Katsuhisa 2 Notte-Cuello, Eduardo Alfonso 2 Ostrovskii, Dmitrii M. 2 Ota, Kaori 2 Parikh, Sarthak 2 Paris, Richard Bruce 2 Parmar, Rakesh Kumar 2 Parra-Ferrada, Ivan 2 Patie, Pierre 2 Perry, Peter A. 2 Pogány, Tibor K. 2 Rouault, Alain 2 Ruijsenaars, Simon N. M. 2 Santachiara, Raoul 2 Saxena, Ram Kishore 2 Saxton, Ralph A. 2 Sergeev, Sergeĭ Mikhaĭlovich 2 Shintani, Takuro 2 Simon, Thomas 2 Snaith, Nina Claire 2 Spreafico, Mauro 2 Tanaka, Hidekazu 2 Tangedal, Brett A. 2 Teo, Lee-Peng 2 Teschner, Jörg 2 Tolchennikov, Anton A. 2 Tsuzuki, Masao 2 Viti, Jacopo 2 Wang, Weiping 2 Widom, Harold 2 Yamamoto, Shuji 2 Yang, Di 2 You, Xu 1 Abi-Khuzam, Faruk Fuad ...and 289 more Authors
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### Cited in 129 Serials

 20 Journal of Mathematical Analysis and Applications 18 Communications in Mathematical Physics 18 Journal of High Energy Physics 17 Journal of Number Theory 11 Journal of Mathematical Physics 11 Nuclear Physics. B 10 Applied Mathematics and Computation 10 The Ramanujan Journal 8 Letters in Mathematical Physics 8 Proceedings of the Japan Academy. Series A 7 Journal of Statistical Physics 6 Advances in Mathematics 5 Journal of Computational and Applied Mathematics 5 Mathematische Zeitschrift 5 Results in Mathematics 5 Transactions of the American Mathematical Society 5 Integral Transforms and Special Functions 4 International Journal of Modern Physics A 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Monatshefte für Mathematik 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 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 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 The Annals of Probability 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Acta Applicandae Mathematicae 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Expositiones Mathematicae 2 Abstract and Applied Analysis 2 Annales Henri Poincaré 2 Advances in Difference Equations 2 International Journal of Number Theory 2 Proceedings of the Japan Academy 2 Applicable Analysis and Discrete Mathematics 2 Analysis and Mathematical Physics 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 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Prikladnaya Matematika i Mekhanika 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 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 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 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 Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters 1 American Journal of Mathematical and Management Sciences 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Aequationes Mathematicae 1 Annals of Physics 1 Journal of Statistical Computation and Simulation 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics ...and 29 more Serials
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### Cited in 45 Fields

 116 Special functions (33-XX) 103 Number theory (11-XX) 62 Quantum theory (81-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Approximations and expansions (41-XX) 20 Functions of a complex variable (30-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Probability theory and stochastic processes (60-XX) 16 Real functions (26-XX) 15 Operator theory (47-XX) 13 Algebraic geometry (14-XX) 13 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 11 Combinatorics (05-XX) 11 Relativity and gravitational theory (83-XX) 10 Difference and functional equations (39-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Topological groups, Lie groups (22-XX) 8 Manifolds and cell complexes (57-XX) 8 Statistics (62-XX) 8 Numerical analysis (65-XX) 7 Nonassociative rings and algebras (17-XX) 7 Integral transforms, operational calculus (44-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Sequences, series, summability (40-XX) 5 Differential geometry (53-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral equations (45-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)

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