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## Roman, Steven M.

Compute Distance To:
 Author ID: roman.steven-m Published as: Roman, Steven; Roman, Steven M.; Roman, S. M.
 Documents Indexed: 37 Publications since 1975, including 17 Books

#### Co-Authors

 33 single-authored 2 De Land, Paul N. 2 Shiflett, Ray C. 2 Shultz, Harris S. 1 Brown, James Ward 1 Rota, Gian-Carlo
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#### Serials

 6 Journal of Mathematical Analysis and Applications 6 Graduate Texts in Mathematics 3 Advances in Mathematics 3 Undergraduate Texts in Mathematics 2 American Mathematical Monthly 2 Discrete Mathematics 2 Journal of Combinatorics, Information & System Sciences 2 Journal of Combinatorial Theory. Series A 2 Compact Textbooks in Mathematics 1 Linear and Multilinear Algebra 1 Journal of Approximation Theory 1 SIAM Journal on Mathematical Analysis
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#### Fields

 22 Combinatorics (05-XX) 5 Functional analysis (46-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 1,055 times in 841 Documents Cited by Year
The umbral calculus. Zbl 0536.33001
Roman, Steven
1984
The umbral calculus. Zbl 0375.05007
Roman, Steven M.; Rota, Gian-Carlo
1978
Coding and information theory. Zbl 0752.94001
Roman, Steven
1992
The formula of Faa di Bruno. Zbl 0513.05009
Roman, Steven
1980
Advanced linear algebra. 3rd ed. Zbl 1132.15002
Roman, Steven
2008
Lattices and ordered sets. Zbl 1154.06001
Roman, Steven
2008
More on the umbral calculus, with emphasis on the $$q$$-umbral calculus. Zbl 0654.05004
Roman, Steven
1985
The theory of the umbral calculus. I. Zbl 0499.05009
Roman, Steven
1982
The algebra of formal series III: Several variables. Zbl 0458.05009
Roman, Steven
1979
Advanced linear algebra. 2nd ed. Zbl 1085.15001
Roman, Steven
2005
The algebra of formal series. Zbl 0403.05003
Roman, Steven
1979
The algebra for formal series. II: Sheffer sequences. Zbl 0458.05008
Roman, Steven
1980
The theory of the umbral calculus. III. Zbl 0526.05008
Roman, Steven
1983
Roman, Steven
1992
The maximum number of q-cliques in a graph with no p-clique. Zbl 0319.05126
Roman, Steven
1976
Polynomials, power series and interpolation. Zbl 0488.33009
Roman, Steven
1981
The theory of the umbral calculus. II. Zbl 0526.05007
Roman, Steven
1982
An introduction to Catalan numbers. Zbl 1342.05002
Roman, Steven
2015
Field theory. 2nd ed. Zbl 1172.12001
Roman, Steven
2006
A problem of Zarankiewicz. Zbl 0296.05014
Roman, Steven
1975
Fundamentals of group theory. An advanced approach. Zbl 1244.20001
Roman, Steven
2012
The harmonic logarithms and the binomial formula. Zbl 0774.05004
Roman, Steven
1993
Erratum. Zbl 0429.05005
Roman, Steven
1980
Inverse relations for certain Sheffer sequences. Zbl 0455.33008
Brown, J. W.; Roman, S. M.
1981
Field theory. Zbl 0816.12001
Roman, Steven
1995
Introduction to the mathematics of finance. From risk management to options pricing. Zbl 1068.91038
Roman, Steven
2004
The logarithmic binomial formula. Zbl 0766.05006
Roman, Steven
1992
Introduction to coding and information theory. Zbl 0948.94500
Roman, Steven
1996
Inverse relations and the umbral calculus. Zbl 0632.05009
Roman, Steven; De Land, Paul N.; Shiflett, Ray C.; Shultz, Harris S.
1983
Introduction to the mathematics of finance. Arbitrage and option pricing. 2nd ed. Zbl 1251.91003
Roman, Steven
2012
An introduction to Catalan numbers. Zbl 1342.05002
Roman, Steven
2015
Fundamentals of group theory. An advanced approach. Zbl 1244.20001
Roman, Steven
2012
Introduction to the mathematics of finance. Arbitrage and option pricing. 2nd ed. Zbl 1251.91003
Roman, Steven
2012
Advanced linear algebra. 3rd ed. Zbl 1132.15002
Roman, Steven
2008
Lattices and ordered sets. Zbl 1154.06001
Roman, Steven
2008
Field theory. 2nd ed. Zbl 1172.12001
Roman, Steven
2006
Advanced linear algebra. 2nd ed. Zbl 1085.15001
Roman, Steven
2005
Introduction to the mathematics of finance. From risk management to options pricing. Zbl 1068.91038
Roman, Steven
2004
Introduction to coding and information theory. Zbl 0948.94500
Roman, Steven
1996
Field theory. Zbl 0816.12001
Roman, Steven
1995
The harmonic logarithms and the binomial formula. Zbl 0774.05004
Roman, Steven
1993
Coding and information theory. Zbl 0752.94001
Roman, Steven
1992
Roman, Steven
1992
The logarithmic binomial formula. Zbl 0766.05006
Roman, Steven
1992
More on the umbral calculus, with emphasis on the $$q$$-umbral calculus. Zbl 0654.05004
Roman, Steven
1985
The umbral calculus. Zbl 0536.33001
Roman, Steven
1984
The theory of the umbral calculus. III. Zbl 0526.05008
Roman, Steven
1983
Inverse relations and the umbral calculus. Zbl 0632.05009
Roman, Steven; De Land, Paul N.; Shiflett, Ray C.; Shultz, Harris S.
1983
The theory of the umbral calculus. I. Zbl 0499.05009
Roman, Steven
1982
The theory of the umbral calculus. II. Zbl 0526.05007
Roman, Steven
1982
Polynomials, power series and interpolation. Zbl 0488.33009
Roman, Steven
1981
Inverse relations for certain Sheffer sequences. Zbl 0455.33008
Brown, J. W.; Roman, S. M.
1981
The formula of Faa di Bruno. Zbl 0513.05009
Roman, Steven
1980
The algebra for formal series. II: Sheffer sequences. Zbl 0458.05008
Roman, Steven
1980
Erratum. Zbl 0429.05005
Roman, Steven
1980
The algebra of formal series III: Several variables. Zbl 0458.05009
Roman, Steven
1979
The algebra of formal series. Zbl 0403.05003
Roman, Steven
1979
The umbral calculus. Zbl 0375.05007
Roman, Steven M.; Rota, Gian-Carlo
1978
The maximum number of q-cliques in a graph with no p-clique. Zbl 0319.05126
Roman, Steven
1976
A problem of Zarankiewicz. Zbl 0296.05014
Roman, Steven
1975
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#### Cited by 997 Authors

 61 Kim, Taekyun 56 Kim, Dae San 29 Khan, Subuhi 17 Ricci, Paolo Emilio 12 Natalini, Pierpaolo 12 Simsek, Yilmaz 11 Mansour, Toufik 11 Riyasat, Mumtaz 11 Roman, Steven M. 10 Dattoli, Giuseppe 10 Niederhausen, Heinrich 9 Barnabei, Marilena 9 Rim, Seog-Hoon 8 Di Nardo, Elvira 8 Mihoubi, Miloud 8 Munarini, Emanuele 8 Senato, Domenico 7 Ai, Mingyao 7 Ali, Mahvish 7 Ćirić, Miroslav D. 7 Costabile, Francesco Aldo 7 Dolgiĭ, Dmitriĭ Viktorovich 7 Wang, Weiping 7 Yasmin, Ghazala 6 Brini, Andrea 6 Chen, William Yong-Chuan 6 Ignjatović, Jelena 6 Kwon, Hyuck In 6 Lee, Sang Hun 6 Loeb, Daniel E. 6 Ray, Nigel 6 Rota, Gian-Carlo 6 Srivastava, Hari Mohan 5 Allaway, William R. 5 Araci, Serkan 5 Joni, S. A. 5 Komatsu, Takao 5 Luzón, Ana 5 Maroni, Pascal 5 Moron, Manuel Alonso 5 Penson, Karol A. 5 Raza, Nusrat 5 Verde-Star, Luis 5 Wang, Tianming 5 Zhang, Runchu 4 Acikgoz, Mehmet 4 D’Antona, Ottavio M. 4 Di Bucchianico, Alessandro 4 Górska, Katarzyna 4 Horzela, Andrzej 4 Hsu, Leetsch Charles 4 Konstantinidis, Stavros 4 Longo, Elisabetta 4 Nicoletti, Giorgio 4 Petrullo, Pasquale 4 Sprugnoli, Renzo 4 Tempesta, Piergiulio 4 Winkel, Rudolf 4 Zorzi, Margherita 3 Adell, José Antonio 3 Ahmad, Naeem 3 Belbachir, Hacene 3 Blasiak, Pawel 3 Bouc, Serge 3 Burlachenko, Evgeniĭ V. 3 Damljanović, Nada 3 Di Pierro, Alessandra 3 Duchamp, Gerard Henry Edmond 3 Faustino, Nelson José Rodrigues 3 Gualtieri, Maria Italia 3 Gzyl, Henryk 3 He, Tianxiao 3 Ismail, Mourad El-Houssieny 3 Jabee, Saima 3 Jang, Gwan-Woo 3 Kholodov, Alexander Nickolaevich 3 Kim, Dojin 3 Lekuona, Alberto 3 Levi, Decio 3 Licciardi, Silvia 3 Liu, Taishun 3 Loureiro, Ana Filipa 3 Man, Chi-Sing 3 Marcellán Español, Francisco 3 Merlini, Donatella 3 Nahid, Tabinda 3 Napoli, Anna 3 Olive, Gloria 3 Picavet-L’Hermitte, Martine 3 Picavet, Gabriel 3 Qi, Feng 3 Ramírez, José Luis 3 Razpet, Marko 3 Shadab, Mohd 3 Shiu, Elias S. W. 3 Shiue, Peter Jau-Shyong 3 Sodaïgui, Bouchaïb 3 Terwilliger, Paul M. 3 Valero, Oscar 3 Wang, Mingjin ...and 897 more Authors
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#### Cited in 281 Serials

 60 Journal of Mathematical Analysis and Applications 36 Linear Algebra and its Applications 29 Discrete Mathematics 25 Advances in Difference Equations 21 Applied Mathematics and Computation 16 Advances in Mathematics 15 Journal of Combinatorial Theory. Series A 14 Computers & Mathematics with Applications 14 Advances in Applied Mathematics 14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Journal of Inequalities and Applications 10 Journal of Number Theory 10 Russian Journal of Mathematical Physics 9 Journal of Computational and Applied Mathematics 9 Studies in Applied Mathematics 9 European Journal of Combinatorics 9 The Ramanujan Journal 8 Journal of Mathematical Physics 8 Journal of Pure and Applied Algebra 8 Theoretical Computer Science 7 Communications in Algebra 7 Algebra Universalis 7 Aequationes Mathematicae 7 Integral Transforms and Special Functions 7 Journal of Integer Sequences 7 Tbilisi Mathematical Journal 6 Discrete Applied Mathematics 6 Journal of Algebra 6 Journal of Approximation Theory 6 Journal of Statistical Planning and Inference 6 Transactions of the American Mathematical Society 6 Designs, Codes and Cryptography 6 International Journal of Computer Mathematics 6 Integers 6 Mediterranean Journal of Mathematics 6 Open Mathematics 5 Fuzzy Sets and Systems 5 Advances in Applied Clifford Algebras 5 Finite Fields and their Applications 5 Symmetry 5 Axioms 4 Journal of Applied Probability 4 Journal of Differential Equations 4 Semigroup Forum 4 Acta Applicandae Mathematicae 4 Graphs and Combinatorics 4 Numerical Algorithms 4 Journal of Mathematical Sciences (New York) 4 Georgian Mathematical Journal 4 Abstract and Applied Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Nonlinear Science and Applications 3 Archiv der Mathematik 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 3 Computer Aided Geometric Design 3 Journal of Elasticity 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Difference Equations and Applications 3 Central European Journal of Mathematics 3 International Journal of Quantum Information 3 Proceedings of the Steklov Institute of Mathematics 3 Science China. Mathematics 3 Journal of Classical Analysis 2 Acta Informatica 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Periodica Mathematica Hungarica 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Beiträge zur Algebra und Geometrie 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 The Annals of Statistics 2 BIT 2 International Journal of Mathematics and Mathematical Sciences 2 Integral Equations and Operator Theory 2 Journal of Combinatorial Theory. Series B 2 Journal of the Korean Mathematical Society 2 Journal of Multivariate Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Population Biology 2 Zeitschrift für Analysis und ihre Anwendungen 2 Insurance Mathematics & Economics 2 Statistics & Probability Letters 2 Journal of Symbolic Computation 2 Journal of Complexity 2 Information and Computation 2 Applied Mathematics Letters 2 SIAM Journal on Discrete Mathematics ...and 181 more Serials
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#### Cited in 58 Fields

 363 Combinatorics (05-XX) 249 Number theory (11-XX) 166 Special functions (33-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 50 Numerical analysis (65-XX) 49 Computer science (68-XX) 43 Approximations and expansions (41-XX) 42 Information and communication theory, circuits (94-XX) 36 Probability theory and stochastic processes (60-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 32 Quantum theory (81-XX) 30 Associative rings and algebras (16-XX) 30 Group theory and generalizations (20-XX) 30 Difference and functional equations (39-XX) 30 Statistics (62-XX) 24 Commutative algebra (13-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Functions of a complex variable (30-XX) 22 Operator theory (47-XX) 19 Functional analysis (46-XX) 18 Real functions (26-XX) 16 Ordinary differential equations (34-XX) 15 Mathematical logic and foundations (03-XX) 14 Field theory and polynomials (12-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Partial differential equations (35-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Integral transforms, operational calculus (44-XX) 11 Algebraic geometry (14-XX) 10 Manifolds and cell complexes (57-XX) 9 General topology (54-XX) 9 Operations research, mathematical programming (90-XX) 8 Algebraic topology (55-XX) 8 Biology and other natural sciences (92-XX) 7 Category theory; homological algebra (18-XX) 7 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 5 Sequences, series, summability (40-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General algebraic systems (08-XX) 4 Abstract harmonic analysis (43-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 2 Optics, electromagnetic theory (78-XX) 1 $$K$$-theory (19-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)