# zbMATH — the first resource for mathematics

## Franklin, Philip

Compute Distance To:
 Author ID: franklin.philip Published as: Franklin, P.; Franklin, Ph.; Franklin, Phil; Franklin, Philip External Links: MGP · Wikidata
 Documents Indexed: 135 Publications since 1919, including 13 Books

#### Co-Authors

 113 single-authored 15 Moore, Clarence Lemuel Elisha 3 Douglas, Jesse 2 Wiener, Norbert 1 Tong, Chris 1 Veblen, Oswald
all top 5

#### Serials

 54 Bulletin of the American Mathematical Society 32 Journal of Mathematics and Physics 6 American Mathematical Monthly 6 Transactions of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 Proceedings of the National Academy of Sciences of the United States of America 2 Mathematische Zeitschrift 2 Scripta Mathematica 1 Acta Mathematica 1 American Journal of Mathematics 1 Mathematische Annalen 1 The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, VI. Series

#### Fields

 1 Real functions (26-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 197 times in 182 Documents Cited by Year
The four color problem. JFM 48.0664.02
Franklin, Ph.
1922
A set of continuous orthogonal functions. JFM 54.0324.03
Franklin, Ph.
1928
A six color problem. Zbl 0010.27502
Franklin, Philip
1934
A six color problem. JFM 60.0501.04
Franklin, Ph.
1934
Analytic transformations of everywhere dense point sets. JFM 51.0166.01
Franklin, P.
1925
Methods of advanced Calculus. Zbl 0060.12308
Franklin, Philip
1944
A treatise on advanced calculus. Zbl 0024.30404
Franklin, Philip
1940
A new class of transcendental numbers. Zbl 0017.15205
Franklin, Philip
1937
Approximation theorems for generalized almost periodic functions. JFM 54.0293.03
Franklin, Ph.
1928
Functions of a complex variable with assigned derivatives at an infinite number of points, and an analogue of Mittag-Leffler’s theorem. JFM 52.0303.01
Franklin, P.
1926
On matrices whose elements are integers. JFM 48.0097.01
Veblen, O.; Franklin, Ph.
1921
A treatise on advanced calculus. JFM 66.0196.03
Franklin, P.
1940
Analytic approximations to topological transformations. JFM 52.0576.02
Franklin, P.; Wiener, N.
1926
Almost periodic recurrent motions. JFM 55.1094.01
Franklin, Ph.
1929
Regions of positive and negative curvature on closed surfaces. Zbl 0009.37302
Franklin, Philip
1934
Algebraic matric equations. Zbl 0004.05101
Franklin, Philip
1931
Algebraic matric equations. JFM 57.1341.01
Franklin, P.
1931
The electric currents in a network. JFM 51.0089.01
Franklin, Ph.
1925
Calculation of the complex zeroes of the function $$P(z)$$ complementary to the incomplete gamma function. JFM 47.0329.02
Franklin, Ph.
1919
A treatise on advanced calculus. Including those parts of the theory of functions of real and complex variables which form the logical basis of the infinitesimal analysis and its application to geometry and physics. Zbl 0151.04701
Franklin, P.
1964
Functions of complex variables. Zbl 0095.27702
Franklin, Philip
1958
Fourier methods. Zbl 0041.38601
Franklin, Philip
1949
Note on the four color problem. Zbl 0018.33302
Franklin, Philip
1938
Note on the four color problem. JFM 64.0598.01
Franklin, P.
1938
Derivatives of higher order as single limits. Zbl 0012.06103
Franklin, Philip
1935
A six-color problem. JFM 60.0535.06
Franklin, Ph.
1934
Geodesics of Pfaffians. Zbl 0002.41201
Franklin, P.; Moore, C. L. E.
1931
Equimomental systems. JFM 55.1093.02
Franklin, Ph.
1929
Classes of functions, orthogonal on an infinite interval, having the power of continuum. JFM 55.0758.01
Franklin, Ph.
1929
A set of continuous orthogonal functions. JFM 54.0326.09
Franklin, Ph.
1928
A geometric characterization of equipotential and stream lines. JFM 53.0463.04
Franklin, Ph.
1927
The fundamental theorem of almost periodic functions of two variables. JFM 52.0264.02
Franklin, P.
1926
Osculating curves and surfaces. JFM 52.0227.01
Franklin, P.
1926
Multiple integrals in $$n$$-space. JFM 49.0172.01
Franklin, Ph.
1923
The meaning of rotation in the special theory of relativity. JFM 48.1324.01
Franklin, Ph.
1922
A treatise on advanced calculus. Including those parts of the theory of functions of real and complex variables which form the logical basis of the infinitesimal analysis and its application to geometry and physics. Zbl 0151.04701
Franklin, P.
1964
Functions of complex variables. Zbl 0095.27702
Franklin, Philip
1958
Fourier methods. Zbl 0041.38601
Franklin, Philip
1949
Methods of advanced Calculus. Zbl 0060.12308
Franklin, Philip
1944
A treatise on advanced calculus. Zbl 0024.30404
Franklin, Philip
1940
A treatise on advanced calculus. JFM 66.0196.03
Franklin, P.
1940
Note on the four color problem. Zbl 0018.33302
Franklin, Philip
1938
Note on the four color problem. JFM 64.0598.01
Franklin, P.
1938
A new class of transcendental numbers. Zbl 0017.15205
Franklin, Philip
1937
Derivatives of higher order as single limits. Zbl 0012.06103
Franklin, Philip
1935
A six color problem. Zbl 0010.27502
Franklin, Philip
1934
A six color problem. JFM 60.0501.04
Franklin, Ph.
1934
Regions of positive and negative curvature on closed surfaces. Zbl 0009.37302
Franklin, Philip
1934
A six-color problem. JFM 60.0535.06
Franklin, Ph.
1934
Algebraic matric equations. Zbl 0004.05101
Franklin, Philip
1931
Algebraic matric equations. JFM 57.1341.01
Franklin, P.
1931
Geodesics of Pfaffians. Zbl 0002.41201
Franklin, P.; Moore, C. L. E.
1931
Almost periodic recurrent motions. JFM 55.1094.01
Franklin, Ph.
1929
Equimomental systems. JFM 55.1093.02
Franklin, Ph.
1929
Classes of functions, orthogonal on an infinite interval, having the power of continuum. JFM 55.0758.01
Franklin, Ph.
1929
A set of continuous orthogonal functions. JFM 54.0324.03
Franklin, Ph.
1928
Approximation theorems for generalized almost periodic functions. JFM 54.0293.03
Franklin, Ph.
1928
A set of continuous orthogonal functions. JFM 54.0326.09
Franklin, Ph.
1928
A geometric characterization of equipotential and stream lines. JFM 53.0463.04
Franklin, Ph.
1927
Functions of a complex variable with assigned derivatives at an infinite number of points, and an analogue of Mittag-Leffler’s theorem. JFM 52.0303.01
Franklin, P.
1926
Analytic approximations to topological transformations. JFM 52.0576.02
Franklin, P.; Wiener, N.
1926
The fundamental theorem of almost periodic functions of two variables. JFM 52.0264.02
Franklin, P.
1926
Osculating curves and surfaces. JFM 52.0227.01
Franklin, P.
1926
Analytic transformations of everywhere dense point sets. JFM 51.0166.01
Franklin, P.
1925
The electric currents in a network. JFM 51.0089.01
Franklin, Ph.
1925
Multiple integrals in $$n$$-space. JFM 49.0172.01
Franklin, Ph.
1923
The four color problem. JFM 48.0664.02
Franklin, Ph.
1922
The meaning of rotation in the special theory of relativity. JFM 48.1324.01
Franklin, Ph.
1922
On matrices whose elements are integers. JFM 48.0097.01
Veblen, O.; Franklin, Ph.
1921
Calculation of the complex zeroes of the function $$P(z)$$ complementary to the incomplete gamma function. JFM 47.0329.02
Franklin, Ph.
1919
all top 5

#### Cited by 191 Authors

 37 Borodin, Oleg Veniaminovich 36 Ivanova, Anna Olegovna 17 Gevorkyan, Gegham G. 6 Jendrol’, Stanislav 6 Keryan, Karen A. 4 Kostochka, Aleksandr Vasil’evich 4 Maceková, Mária 4 Nikiforov, Dmitrii Vladislavovich 3 Mikayelyan, Vazgen Gagik 3 Škrekovski, Riste 3 Soták, Roman 3 Stiebitz, Michael 2 Aksenov, Valerii A. 2 Alexander, Howard Wright 2 Altshuler, Amos 2 Batueva, Tsyndyma Chemit-Dorzhievna 2 Besicovitch, Abram S. 2 Bohr, Harald 2 Burke, Maxim R. 2 Cannon, John Rozier 2 Cauer, Wilhelm Adolf Eduard 2 Grigoryan, Martin Gevorgovich 2 Harant, Jochen 2 Hutchinson, Joan P. 2 Jensen, Tommy René 2 Kazak, Olesya N. 2 Marques, Diego 2 Mohar, Bojan 2 Moreira, Carlos Gustavo Tamm de Araujo 2 Navasardyan, Karen Arshaluĭsovich 2 Pittnauer, Franz 2 Ringel, Gerhard 2 Sox, J. L. jun. 2 Vasil’eva, Ekaterina I. 2 West, Douglas Brent 2 Wüstholz, Gisbert 1 Albertson, Michael O. 1 Allaire, Frank 1 Alon, Noga M. 1 Alshits, Vladimir I. 1 Bahar, Leon Y. 1 Bajaj, Chandrajit L. 1 Baker, George Allen jun. 1 Banchoff, Thomas F. 1 Benth, Fred Espen 1 Bijlsma, Alex 1 Bochkarev, Sergei Viktorovich 1 Böhme, Thomas 1 Bonar, Daniel D. 1 Borowitz, Sidney 1 Brehm, Ulrich 1 Bykov, Mikhail A. 1 Carroll, Frank J. 1 Čekanová, K. 1 Cervone, Davide P. 1 Chabert, Jean-Luc 1 Chen, Wenyi 1 Chen, Ye 1 Chi, Minyou 1 Cijsouw, Pieter Leendert 1 Clark, Clifton Bob 1 Colombeau, Jean-François 1 Cook, Roger J. 1 Cranston, Daniel W. 1 Csavinszky, P. 1 Darinskii, A. N. 1 Davies, James 1 Deng, Weihua 1 Detering, Nils 1 Dobrowolski, Tadeusz 1 Drazin, Michael P. 1 DuChateau, Paul C. 1 Duffin, Richard James 1 Dvořák, Zdeněk 1 Ehrenborg, Richard 1 Ellingham, Mark Norman 1 Embrechts, Paul 1 Errera, Alfred 1 Eubank, Randall L. 1 Fabrici, Igor 1 Fan, Suohai 1 Filmer, D. L. 1 Forman, Robin 1 Frid, Hermano 1 Furedi, Zoltan 1 Gammel, John L. 1 Gauthier, Paul M. 1 Gershkovich, V. Ya. 1 Goryachev, A. P. 1 Grannell, Michael John 1 Griggs, Terry S. 1 Grünbaum, Branko 1 Harrington, Walter J. 1 Hayman, Walter Kurt 1 Herzberg, Agnes Margaret 1 Hetyei, Gábor 1 Hoffmann, Christoph M. 1 Hoischen, Lothar 1 Hopcroft, John Edward H. 1 Hrušák, Michael ...and 91 more Authors
all top 5

#### Cited in 69 Serials

 24 Discrete Mathematics 14 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 9 Siberian Mathematical Journal 9 Transactions of the American Mathematical Society 7 Journal of Combinatorial Theory. Series B 7 Sibirskie Èlektronnye Matematicheskie Izvestiya 6 Mathematical Notes 6 Mathematische Annalen 5 Journal of Graph Theory 5 Mathematische Zeitschrift 5 Discussiones Mathematicae. Graph Theory 4 Bulletin of the American Mathematical Society 4 Physical Review, II. Series 3 Discrete Applied Mathematics 3 Israel Journal of Mathematics 3 Acta Mathematica 3 Graphs and Combinatorics 2 Journal of Mathematical Analysis and Applications 2 Periodica Mathematica Hungarica 2 Compositio Mathematica 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Topology and its Applications 2 European Journal of Combinatorics 2 Discrete & Computational Geometry 2 Linear Algebra and its Applications 2 Sbornik: Mathematics 2 Rendiconti del Circolo Matematico di Palermo 1 Acta Mechanica 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Scandinavian Journal of Statistics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Geometriae Dedicata 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Results in Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Computer Aided Geometric Design 1 Computational Statistics 1 Communications in Partial Differential Equations 1 Historia Mathematica 1 Pattern Recognition 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Finance and Stochastics 1 Nonlinear Dynamics 1 Foundations of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Geosciences 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Nonlinear Analysis. Theory, Methods & Applications 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 38 Fields

 73 Combinatorics (05-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 15 Convex and discrete geometry (52-XX) 10 Number theory (11-XX) 10 Functions of a complex variable (30-XX) 8 Manifolds and cell complexes (57-XX) 7 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 4 Partial differential equations (35-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Wikidata Timeline

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