Edit Profile (opens in new tab) Arscott, F. M. Co-Author Distance Author ID: arscott.f-m Published as: Arscott, F. M. Documents Indexed: 37 Publications since 1955, including 2 Books 2 Contributions as Editor Co-Authors: 10 Co-Authors with 12 Joint Publications 120 Co-Co-Authors all top 5 Co-Authors 25 single-authored 3 Darai, A. 2 Sleeman, Brian David 1 Filippov, Alexey F. 1 Greguš, Michal 1 Kaneko, Akira 1 Khabaza, I. M. 1 Neuman, František 1 Reid, G. D. L. 1 Taylor, R. S. 1 Urwin, Kathleen M. 1 Wright, Gordon P. 1 Zahar, R. V. M. all top 5 Serials 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of the London Mathematical Society 3 The Quarterly Journal of Mathematics. Oxford Second Series 2 Journal of Engineering Mathematics 2 Archivum Mathematicum 2 Proceedings of the London Mathematical Society. Third Series 1 IMA Journal of Applied Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 The Mathematical Gazette 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Buletinul Institutului Politehnic din Iași. Secția I 1 Mathematics and Its Applications. Japanese Series 1 Mathematics and Its Applications. Soviet Series all top 5 Fields 14 Ordinary differential equations (34-XX) 7 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 278 times in 223 Documents Cited by ▼ Year ▼ Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. Zbl 0664.34001 Filippov, A. F. 1,794 1988 Periodic differential equations. An introduction to Mathieu, Lame, and allied functions. Zbl 0121.29903 Arscott, F. M. 138 1964 Introduction to hyperfunctions. Transl. from the Jap. by Y. Yamamoto, ed. by F.M. Arscott. Zbl 0687.46027 Kaneko, A. 80 1988 Three-point boundary value problems in differential equations. Zbl 0226.34010 Greguš, M.; Neuman, František; Arscott, F. M. 32 1971 Two-parameter eigenvalue problems in differential equations. Zbl 0121.31102 Arscott, F. M. 24 1964 Curvilinear coordinate systems in which the Helmholtz equation separates. Zbl 0471.35023 Arscott, F. M.; Darai, A. 13 1981 Tables of Lame polynomials. Zbl 0111.14002 Arscott, F. M.; Khabaza, I. M. 8 1962 Theory of the Whittaker-Hill equation. Zbl 0208.10902 Urwin, K. M.; Arscott, F. M. 8 1970 A Riccati-type transformation of linear difference equations. Zbl 0518.39001 Arscott, F. M. 6 1981 On the numerical construction of ellipsoidal wave functions. Zbl 0538.65007 Arscott, F. M.; Taylor, P. J.; Zahar, R. V. M. 5 1983 Latent roots of tri-diagonal matrices. Zbl 0102.25501 Arscott, F. M. 5 1961 A new treatment of the ellipsoidal wave equation. Zbl 0086.05901 Arscott, F. M. 4 1959 The Whittaker-Hill equation and the wave equation in paraboloidal co-ordinates. Zbl 0237.34042 Arscott, F. M. 4 1967 The land beyond Bessel: A survey of higher special functions. Zbl 0486.33001 Arscott, F. M. 3 1981 Integral equations and relations for Lame functions. Zbl 0173.14002 Arscott, F. M. 3 1964 Lamé’s equation and its use in elliptic cone problems. Zbl 0234.34016 Taylor, R. S.; Arscott, F. M. 3 1971 On Lame polynomials. Zbl 0077.07204 Arscott, F. M. 2 1957 Recurrence formulae for Lame polynomials. Zbl 0072.28801 Arscott, F. M. 2 1956 Relations between spherical and ellipsoidal harmonics and some applications. Zbl 0102.29002 Arscott, F. M. 2 1958 Paraboloidal co-ordinates and Laplace’s equation. Zbl 0132.34101 Arscott, F. M. 2 1964 Neumann-series solutions of the ellipsoidal wave equation. Zbl 0196.37203 Arscott, F. M. 2 1965 High-frequency approximations to ellipsoidal wave functions. Zbl 0197.33901 Arscott, F. M.; Sleeman, B. D. 2 1970 Floquet theory for doubly-periodic differential equations. Zbl 0235.34053 Arscott, F. M.; Wright, G. P. 2 1969 Transform theorems for two-parameter eigenvalue problems in Hilbert space. Zbl 0303.34018 Arscott, F. M. 1 1974 Studies in multiplicative solutions to linear differential equations. Zbl 0628.34050 Arscott, F. M. 1 1987 A potential problem arising from the strip-punch problem in elasticity. Zbl 0661.73077 Darai, A.; Arscott, F. M. 1 1988 Integral equations for ellipsoidal wave functions. Zbl 0079.09602 Arscott, F. M. 1 1957 Perturbation solutions of the ellipsoidal wave equation. Zbl 0072.30602 Arscott, F. M. 1 1956 Multiplicative solutions of linear differential equations. Zbl 0155.12503 Arscott, F. M.; Sleeman, B. D. 1 1968 Polynomial solutions of differential equations with bi-orthogonal properties. Zbl 0253.34001 Arscott, F. M. 1 1972 A three-term recursion and the computation of Mathieu functions. Zbl 0419.65054 Arscott, F. M. 1 1979 Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. Zbl 0664.34001 Filippov, A. F. 1,794 1988 Introduction to hyperfunctions. Transl. from the Jap. by Y. Yamamoto, ed. by F.M. Arscott. Zbl 0687.46027 Kaneko, A. 80 1988 A potential problem arising from the strip-punch problem in elasticity. Zbl 0661.73077 Darai, A.; Arscott, F. M. 1 1988 Studies in multiplicative solutions to linear differential equations. Zbl 0628.34050 Arscott, F. M. 1 1987 On the numerical construction of ellipsoidal wave functions. Zbl 0538.65007 Arscott, F. M.; Taylor, P. J.; Zahar, R. V. M. 5 1983 Curvilinear coordinate systems in which the Helmholtz equation separates. Zbl 0471.35023 Arscott, F. M.; Darai, A. 13 1981 A Riccati-type transformation of linear difference equations. Zbl 0518.39001 Arscott, F. M. 6 1981 The land beyond Bessel: A survey of higher special functions. Zbl 0486.33001 Arscott, F. M. 3 1981 A three-term recursion and the computation of Mathieu functions. Zbl 0419.65054 Arscott, F. M. 1 1979 Transform theorems for two-parameter eigenvalue problems in Hilbert space. Zbl 0303.34018 Arscott, F. M. 1 1974 Polynomial solutions of differential equations with bi-orthogonal properties. Zbl 0253.34001 Arscott, F. M. 1 1972 Three-point boundary value problems in differential equations. Zbl 0226.34010 Greguš, M.; Neuman, František; Arscott, F. M. 32 1971 Lamé’s equation and its use in elliptic cone problems. Zbl 0234.34016 Taylor, R. S.; Arscott, F. M. 3 1971 Theory of the Whittaker-Hill equation. Zbl 0208.10902 Urwin, K. M.; Arscott, F. M. 8 1970 High-frequency approximations to ellipsoidal wave functions. Zbl 0197.33901 Arscott, F. M.; Sleeman, B. D. 2 1970 Floquet theory for doubly-periodic differential equations. Zbl 0235.34053 Arscott, F. M.; Wright, G. P. 2 1969 Multiplicative solutions of linear differential equations. Zbl 0155.12503 Arscott, F. M.; Sleeman, B. D. 1 1968 The Whittaker-Hill equation and the wave equation in paraboloidal co-ordinates. Zbl 0237.34042 Arscott, F. M. 4 1967 Neumann-series solutions of the ellipsoidal wave equation. Zbl 0196.37203 Arscott, F. M. 2 1965 Periodic differential equations. An introduction to Mathieu, Lame, and allied functions. Zbl 0121.29903 Arscott, F. M. 138 1964 Two-parameter eigenvalue problems in differential equations. Zbl 0121.31102 Arscott, F. M. 24 1964 Integral equations and relations for Lame functions. Zbl 0173.14002 Arscott, F. M. 3 1964 Paraboloidal co-ordinates and Laplace’s equation. Zbl 0132.34101 Arscott, F. M. 2 1964 Tables of Lame polynomials. Zbl 0111.14002 Arscott, F. M.; Khabaza, I. M. 8 1962 Latent roots of tri-diagonal matrices. Zbl 0102.25501 Arscott, F. M. 5 1961 A new treatment of the ellipsoidal wave equation. Zbl 0086.05901 Arscott, F. M. 4 1959 Relations between spherical and ellipsoidal harmonics and some applications. Zbl 0102.29002 Arscott, F. M. 2 1958 On Lame polynomials. Zbl 0077.07204 Arscott, F. M. 2 1957 Integral equations for ellipsoidal wave functions. Zbl 0079.09602 Arscott, F. M. 1 1957 Recurrence formulae for Lame polynomials. Zbl 0072.28801 Arscott, F. M. 2 1956 Perturbation solutions of the ellipsoidal wave equation. Zbl 0072.30602 Arscott, F. M. 1 1956 all cited Publications top 5 cited Publications all top 5 Cited by 314 Authors 10 Staněk, Svatoslav 8 Binding, Paul Anthony 6 Ahmad, Bashir 5 Al-saedi, Ahmed Eid Salem 5 Figueiredo, Bartolomeu D. B. 5 Volkmer, Hans W. 4 Agarwal, Ravi P. 4 Browne, Patrick J. 4 El-Jaick, Léa Jaccoud 4 Gesztesy, Fritz 4 Ji, Xingzhi 4 Ntouyas, Sotiris K. 4 Turyn, Lawrence 4 Weikard, Rudi 3 Almalki, Amal 3 Arscott, F. M. 3 Boucherif, Abdelkader 3 Fernández C., David J. 3 Hall, Richard L. 3 Saad, Nasser 3 Sleeman, Brian David 2 Bermúdez, David 2 Darai, A. 2 Dawson, Sean R. 2 Djakov, Plamen B. 2 Dobner, Hans-Jürgen 2 Dullin, Holger R. 2 Fan, Jashen 2 Figueiredo, B. D. Bonorino 2 Fragoyiannis, George 2 Guha, Partha 2 Gulden, Tobias 2 Gutiérrez-Vega, Julio C. 2 He, Wei 2 Kalnins, Ernest G. 2 Košir, Tomaž 2 Kreshchuk, Michael 2 Kress, Jonathan M. 2 Leach, Peter Gavin Lawrence 2 Miller, Willard jun. 2 Mityagin, Boris Samuilovich 2 Müller-Kirsten, Harald J. W. 2 Ndimubandi, Jean 2 Nguyen, Diana M. H. 2 Park, Dae Kil 2 Pham Ngoc Dinh, Alain 2 Ritter, Stefan Matthias 2 Ruffo, Stefano 2 Samsonov, Boris F. 2 Sen, K. D. 2 Shapiro, Boris Zalmanovich 2 Singh, Mandeep 2 Vafeas, Panayiotis 2 Verma, Amit Kumar 2 Villain-Guillot, Simon 2 Wang, Yuanming 2 Wong, Yau Shu 1 Abad, Julio 1 Almalki, Nada 1 Almog, Yaniv 1 Alonso, Miguel Angel 1 Alsulami, Mona 1 Amodio, Pierluigi 1 Andres, Jan 1 Andriopoulos, Kostis 1 Arede, Teresa 1 Asai, Nobuyoshi 1 Atkinson, Frederick Valentine 1 Baginski, Frank E. 1 Bagrov, Vladislav G. 1 Bailey, Paul B. 1 Barakat, Richard 1 Barnwal, Amit K. 1 Bartuccelli, Michele V. 1 Bassey, Unanowo Nyong 1 Bauch, Chris T. 1 Belbas, Stavros A. 1 Belward, John Alan 1 Bernardi, Enrico 1 Bhattacharyya, Samit 1 Bin, Liu 1 Biondini, Gino 1 Blum, Edward Kenneth 1 Bobisud, Larry E. 1 Borcea, Julius 1 Borůvka, Otakar 1 Boyd, John Philip 1 Brandão, P. A. 1 Brihaye, Yves 1 Bronski, Jared C. 1 Bryenton, Kyle R. 1 Cacciatori, Sergio Luigi 1 Canfora, Fabrizio 1 Carrion, Karim 1 Cembranos, Jose A. R. 1 Chanane, Bilal 1 Cheung, Tsz Yung 1 Churchill, Richard C. 1 Connett, William C. 1 Craster, Richard V. ...and 214 more Authors all top 5 Cited in 109 Serials 13 Journal of Mathematical Analysis and Applications 13 Applied Mathematics and Computation 10 Journal of Mathematical Physics 7 Physics Letters. A 6 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 5 Journal of Computational Physics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Engineering Mathematics 4 Nuclear Physics. B 4 Journal of Approximation Theory 4 Journal of Computational and Applied Mathematics 4 Journal of Differential Equations 4 Communications in Nonlinear Science and Numerical Simulation 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Modern Physics Letters A 3 Mathematical Methods in the Applied Sciences 3 Archiv der Mathematik 3 Applied Mathematics and Mechanics. (English Edition) 3 Annals of Physics 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 Journal of Applied Mathematics and Computing 3 Journal of Physics A: Mathematical and Theoretical 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Journal of the Franklin Institute 2 Reports on Mathematical Physics 2 Wave Motion 2 Acta Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Physica D 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Integral Transforms and Special Functions 2 Regular and Chaotic Dynamics 2 Journal of High Energy Physics 2 Communications in Theoretical Physics 2 Analysis and Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Mechanica 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Ingenieur-Archiv 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Physica A 1 Physics Reports 1 Stochastics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 The Annals of Statistics 1 Computing 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 SIAM Journal on Matrix Analysis and Applications 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 New Journal of Physics 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Applied Mathematics E-Notes 1 Journal of Cosmology and Astroparticle Physics 1 Advances in Difference Equations ...and 9 more Serials all top 5 Cited in 44 Fields 106 Ordinary differential equations (34-XX) 34 Special functions (33-XX) 34 Partial differential equations (35-XX) 34 Quantum theory (81-XX) 28 Numerical analysis (65-XX) 26 Operator theory (47-XX) 17 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 9 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Relativity and gravitational theory (83-XX) 6 Algebraic geometry (14-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral equations (45-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) Citations by Year