Edit Profile Chihara, Theodore Seio Compute Distance To: Compute Author ID: chihara.theodore-seio Published as: Chihara, T. S.; Chihara, Theodore S. External Links: MGP · Wikidata Documents Indexed: 38 Publications since 1957, including 1 Book Biographic References: 1 Publication Co-Authors 30 single-authored 4 Al-Salam, Waleed A. 2 Ismail, Mourad El-Houssieny 1 Chihara, Laura M. 1 Neval, P. G. all top 5 Serials 4 Journal of Mathematical Analysis and Applications 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 2 American Mathematical Monthly 2 Rocky Mountain Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Duke Mathematical Journal 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 1 Portugaliae Mathematica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Advances in Applied Mathematics 1 Constructive Approximation 1 SIAM Journal on Applied Mathematics 1 Bollettino della Unione Matematica Italiana. Series III all top 5 Fields 20 Special functions (33-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 3 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 2,056 times in 1,664 Documents Cited by ▼ Year ▼ An introduction to orthogonal polynomials. Zbl 0389.33008Chihara, T. S. 1,506 1978 On co-recursive orthogonal polynomials. Zbl 0080.27305Chihara, T. S. 52 1957 Another characterization of the classical orthogonal polynomials. Zbl 0238.33010Al-Salam, W. A.; Chihara, T. S. 50 1972 Convolutions of orthonormal polynomials. Zbl 0323.33007Al-Salam, W. A.; Chihara, T. S. 39 1976 Chain sequences and orthogonal polynomials. Zbl 0171.32804Chihara, T. S. 37 1962 Indeterminate symmetric moment problems. Zbl 0485.44004Chihara, T. S. 29 1982 On quasi-orthogonal polynomials. Zbl 0078.25604Chihara, T. S. 29 1957 Orthogonal polynomials and measures with end point masses. Zbl 0586.33007Chihara, T. S. 28 1985 On indeterminate Hamburger moment problems. Zbl 0167.41901Chihara, T. S. 23 1968 On kernel polynomials and related systems. Zbl 0125.31406Chihara, T. S. 23 1964 Orthogonal polynomials with Brenke type generating functions. Zbl 0174.10902Chihara, T. S. 21 1968 Orthogonal polynomials and measures with finitely many point masses. Zbl 0512.42024Chihara, T. S.; Neval, P. G. 19 1982 A characterization and a class of distribution functions for the Stieltjes-Wigert polynomials. Zbl 0205.07604Chihara, T. S. 17 1970 Spectral properties of orthogonal polynomials on unbounded sets. Zbl 0489.42024Chihara, T. S. 15 1982 Orthogonal polynomials whose zeros are dense in intervals. Zbl 0185.12602Chihara, T. S. 15 1968 On generalized Stieltjes-Wigert and related orthogonal polynomials. Zbl 0425.33010Chihara, T. S. 14 1979 Extremal measures for a system of orthogonal polynomials. Zbl 0783.33007Chihara, Theodore S.; Ismail, Mourad E. H. 12 1993 Orthogonal polynomials whose distribution functions have finite point spectra. Zbl 0442.42015Chihara, T. S. 12 1980 A class of nonsymmetric orthogonal polynomials. Zbl 0622.33008Chihara, Laura M.; Chihara, T. S. 10 1987 Hamburger moment problems and orthogonal polynomials. Zbl 0686.42019Chihara, T. S. 9 1989 Orthogonal polynomials suggested by a queueing model. Zbl 0504.60094Chihara, Theodore S.; Ismail, Mourad E. H. 9 1982 Orthogonality relations for a class of Brenke polynomials. Zbl 0219.33005Chihara, T. S. 9 1971 The one-quarter class of orthogonal polynomials. Zbl 0735.42013Chihara, T. S. 8 1991 On the spectra of certain birth and death processes. Zbl 0625.60103Chihara, T. S. 8 1987 The derived set of the spectrum of a distribution function. Zbl 0206.42601Chihara, T. S. 8 1971 A characterization and a class of distribution functions for the Stieltjes-Wigert polynomials. Zbl 0202.34302Chihara, T. S. 8 1970 Orthogonal polynomials with discrete spectra of the real line. Zbl 0561.33008Chihara, T. S. 7 1984 Convergent sequences of orthogonal polynomials. Zbl 0202.05301Chihara, T. S. 7 1972 q-Pollaczek polynomials and a conjecture of Andrews and Askey. Zbl 0611.33014Al-Salam, W. A.; Chihara, T. S. 6 1987 On recursively defined orthogonal polynomials. Zbl 0171.32901Chihara, T. S. 6 1965 The three term recurrence relation and spectral properties of orthogonal polynomials. Zbl 0705.42019Chihara, T. S. 5 1990 The parameters of a chain sequence. Zbl 0685.40004Chihara, T. S. 5 1990 On Reimer recurrences. Zbl 0468.33008Al-Salam, W. A.; Chihara, T. S. 3 1979 Nonlinear recurrence relations for classical orthogonal polynomials. Zbl 0081.06501Chihara, T. S. 3 1958 On the true interval of orthogonality. Zbl 0252.42010Chihara, T. S. 2 1971 45 years of orthogonal polynomials: A view from the wings. Zbl 0993.33001Chihara, T. S. 1 2001 Note on a theorem of Stone on Jacobi matrices. Zbl 0171.32902Chihara, T. S. 1 1965 45 years of orthogonal polynomials: A view from the wings. Zbl 0993.33001Chihara, T. S. 1 2001 Extremal measures for a system of orthogonal polynomials. Zbl 0783.33007Chihara, Theodore S.; Ismail, Mourad E. H. 12 1993 The one-quarter class of orthogonal polynomials. Zbl 0735.42013Chihara, T. S. 8 1991 The three term recurrence relation and spectral properties of orthogonal polynomials. Zbl 0705.42019Chihara, T. S. 5 1990 The parameters of a chain sequence. Zbl 0685.40004Chihara, T. S. 5 1990 Hamburger moment problems and orthogonal polynomials. Zbl 0686.42019Chihara, T. S. 9 1989 A class of nonsymmetric orthogonal polynomials. Zbl 0622.33008Chihara, Laura M.; Chihara, T. S. 10 1987 On the spectra of certain birth and death processes. Zbl 0625.60103Chihara, T. S. 8 1987 q-Pollaczek polynomials and a conjecture of Andrews and Askey. Zbl 0611.33014Al-Salam, W. A.; Chihara, T. S. 6 1987 Orthogonal polynomials and measures with end point masses. Zbl 0586.33007Chihara, T. S. 28 1985 Orthogonal polynomials with discrete spectra of the real line. Zbl 0561.33008Chihara, T. S. 7 1984 Indeterminate symmetric moment problems. Zbl 0485.44004Chihara, T. S. 29 1982 Orthogonal polynomials and measures with finitely many point masses. Zbl 0512.42024Chihara, T. S.; Neval, P. G. 19 1982 Spectral properties of orthogonal polynomials on unbounded sets. Zbl 0489.42024Chihara, T. S. 15 1982 Orthogonal polynomials suggested by a queueing model. Zbl 0504.60094Chihara, Theodore S.; Ismail, Mourad E. H. 9 1982 Orthogonal polynomials whose distribution functions have finite point spectra. Zbl 0442.42015Chihara, T. S. 12 1980 On generalized Stieltjes-Wigert and related orthogonal polynomials. Zbl 0425.33010Chihara, T. S. 14 1979 On Reimer recurrences. Zbl 0468.33008Al-Salam, W. A.; Chihara, T. S. 3 1979 An introduction to orthogonal polynomials. Zbl 0389.33008Chihara, T. S. 1,506 1978 Convolutions of orthonormal polynomials. Zbl 0323.33007Al-Salam, W. A.; Chihara, T. S. 39 1976 Another characterization of the classical orthogonal polynomials. Zbl 0238.33010Al-Salam, W. A.; Chihara, T. S. 50 1972 Convergent sequences of orthogonal polynomials. Zbl 0202.05301Chihara, T. S. 7 1972 Orthogonality relations for a class of Brenke polynomials. Zbl 0219.33005Chihara, T. S. 9 1971 The derived set of the spectrum of a distribution function. Zbl 0206.42601Chihara, T. S. 8 1971 On the true interval of orthogonality. Zbl 0252.42010Chihara, T. S. 2 1971 A characterization and a class of distribution functions for the Stieltjes-Wigert polynomials. Zbl 0205.07604Chihara, T. S. 17 1970 A characterization and a class of distribution functions for the Stieltjes-Wigert polynomials. Zbl 0202.34302Chihara, T. S. 8 1970 On indeterminate Hamburger moment problems. Zbl 0167.41901Chihara, T. S. 23 1968 Orthogonal polynomials with Brenke type generating functions. Zbl 0174.10902Chihara, T. S. 21 1968 Orthogonal polynomials whose zeros are dense in intervals. Zbl 0185.12602Chihara, T. S. 15 1968 On recursively defined orthogonal polynomials. Zbl 0171.32901Chihara, T. S. 6 1965 Note on a theorem of Stone on Jacobi matrices. Zbl 0171.32902Chihara, T. S. 1 1965 On kernel polynomials and related systems. Zbl 0125.31406Chihara, T. S. 23 1964 Chain sequences and orthogonal polynomials. Zbl 0171.32804Chihara, T. S. 37 1962 Nonlinear recurrence relations for classical orthogonal polynomials. Zbl 0081.06501Chihara, T. S. 3 1958 On co-recursive orthogonal polynomials. Zbl 0080.27305Chihara, T. S. 52 1957 On quasi-orthogonal polynomials. Zbl 0078.25604Chihara, T. S. 29 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,331 Authors 119 Marcellán Español, Francisco 44 Ronveaux, André 41 Van Assche, Walter 40 Area, Iván 37 Godoy, Eduardo Paciência 37 Ismail, Mourad El-Houssieny 36 Zhedanov, Alexei S. 33 Maroni, Pascal 30 Ranga, A. Sri 27 Vinet, Luc 24 van Doorn, Erik A. 23 Masjed-Jamei, Mohammad 22 Álvarez-Nodarse, Renato 21 Kwon, Kil Hyun 20 Littlejohn, Lance L. 20 Petronilho, José C. 20 Zarzo, Alejandro 19 Dette, Holger 18 Pérez, Teresa E. 18 Piñar, Miguel A. 17 Dimitrov, Dimitar K. 17 Duran, Antonio J. 16 Ben Cheikh, Youssèf 16 Chihara, Theodore Seio 15 Bracciali, Cleonice F. 15 Foupouagnigni, Mama 15 Milovanović, Gradimir V. 13 Branquinho, Amílcar José Pinto Lopes 13 Castillo, Kenier 13 Jordaan, Kerstin 13 Sghaier, Mabrouk 13 Szwarc, Ryszard 12 Berg, Christian 12 Garza, Luis E. 12 Iserles, Arieh 12 Njåstad, Olav 11 López-Blázquez, Fernando 11 Nevai, Paul G. 11 Xu, Yuan 10 Alhaidari, Abdulaziz D. 10 Cachafeiro, Alicia 10 da Fonseca, Carlos Martins 10 Dehghan Takht Fooladi, Mehdi 10 Draux, André 10 González-Vera, Pablo 10 Huertas Cejudo, Edmundo José 10 Koepf, Wolfram A. 10 Lasser, Rupert 10 Loureiro, Ana Filipa 10 Rezola, María Luisa 10 Wong, Roderick Sue-Chuen 9 Alfaro García, Manuel 9 Barry, Paul 9 Bouras, Belgacem 9 Chen, Yang 9 Driver, Kathy A. 9 Dueñas, Herbert 9 Stanton, Dennis W. 9 Valent, Galliano 9 Zeng, Jiang 8 Aptekarev, Alexander Ivanovich 8 Asai, Nobuhiro 8 Cantero, María José 8 Dehesa, Jesús S. 8 Filipuk, Galina V. 8 Geronimo, Jeffrey S. 8 Koelink, Erik 8 Mejri, Manoubi 8 Moreno-Balcázar, Juan José 8 Obermaier, Josef 8 Štampach, František 8 Tsujimoto, Satoshi 8 Voit, Michael 7 Arvesú, Jorge 7 Berriochoa, Elías 7 Bryc, Włodzimierz 7 Christiansen, Jacob Stordal 7 Costas-Santos, Roberto S. 7 Cvetković, Aleksandar S. 7 da Rocha, Zélia 7 de Andrade, Eliana X. L. 7 Derevyagin, Maxim S. 7 Dominici, Diego Ernesto 7 García-Ardila, Juan Carlos 7 Gautschi, Walter 7 Ihsen Tounsi, M. 7 Jones, William Branham 7 Kheriji, Lotfi 7 Lytvynov, Eugene W. 7 Magnus, Alphonse Ph. 7 Parthasarathy, Panamalai Ramarao 7 Peña, Ana 7 Rafaeli, Fernando Rodrigo 7 Rahman, Mizan 7 Rebocho, M. N. 7 Sfaxi, Ridha 7 Simon, Barry 7 Suslov, Sergei K. 7 Veronese, Daniel O. 7 Zaatra, Mohamed ...and 1,231 more Authors all top 5 Cited in 241 Serials 253 Journal of Computational and Applied Mathematics 132 Journal of Approximation Theory 113 Journal of Mathematical Analysis and Applications 81 Integral Transforms and Special Functions 61 Applied Mathematics and Computation 48 Proceedings of the American Mathematical Society 45 Journal of Difference Equations and Applications 36 Journal of Mathematical Physics 35 Linear Algebra and its Applications 31 Constructive Approximation 31 Numerical Algorithms 30 Transactions of the American Mathematical Society 27 Applied Numerical Mathematics 24 Computers & Mathematics with Applications 24 Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 Mathematics of Computation 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18 Indagationes Mathematicae. New Series 17 Rocky Mountain Journal of Mathematics 17 The Ramanujan Journal 15 Mediterranean Journal of Mathematics 12 Acta Applicandae Mathematicae 11 Journal of Functional Analysis 9 Communications in Mathematical Physics 9 Advances in Mathematics 9 Advances in Applied Mathematics 9 Annals of Physics 8 Journal of Statistical Planning and Inference 8 Monatshefte für Mathematik 8 Communications in Statistics. Theory and Methods 8 Expositiones Mathematicae 7 Discrete Mathematics 7 Letters in Mathematical Physics 7 Nuclear Physics. B 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Numerische Mathematik 7 European Journal of Combinatorics 7 Statistics & Probability Letters 7 International Journal of Computer Mathematics 6 Applicable Analysis 6 Reports on Mathematical Physics 6 Theoretical and Mathematical Physics 6 The Annals of Probability 6 BIT 6 Journal of Combinatorial Theory. Series A 6 Mathematische Zeitschrift 6 Results in Mathematics 6 Studies in Applied Mathematics 6 Applied Mathematics Letters 6 Stochastic Processes and their Applications 6 Random Matrices: Theory and Applications 5 Journal of Computational Physics 5 Journal of Statistical Physics 5 Metrika 5 Periodica Mathematica Hungarica 5 Calcolo 5 Journal of Multivariate Analysis 5 Quaestiones Mathematicae 5 Graphs and Combinatorics 5 Journal of Theoretical Probability 5 Advances in Computational Mathematics 5 Abstract and Applied Analysis 5 Computational Methods and Function Theory 5 Complex Analysis and Operator Theory 4 Linear and Multilinear Algebra 4 Archiv der Mathematik 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Applied Probability 4 Acta Mathematica Hungarica 4 Journal of Symbolic Computation 4 Bulletin des Sciences Mathématiques 4 Journal of Mathematical Chemistry 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Stochastics 4 Analysis and Mathematical Physics 3 Modern Physics Letters A 3 Advances in Applied Probability 3 Indian Journal of Pure & Applied Mathematics 3 Physics Letters. A 3 Ukrainian Mathematical Journal 3 Reviews in Mathematical Physics 3 The Annals of Statistics 3 Duke Mathematical Journal 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Numerical Functional Analysis and Optimization 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Stochastic Analysis and Applications 3 SIAM Journal on Scientific Computing 3 Computational and Applied Mathematics 3 Journal of Integer Sequences 3 The ANZIAM Journal 3 Quantum Information Processing 3 Analysis and Applications (Singapore) 3 JSIAM Letters 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences ...and 141 more Serials all top 5 Cited in 52 Fields 978 Special functions (33-XX) 656 Harmonic analysis on Euclidean spaces (42-XX) 177 Numerical analysis (65-XX) 172 Probability theory and stochastic processes (60-XX) 152 Approximations and expansions (41-XX) 113 Functions of a complex variable (30-XX) 112 Combinatorics (05-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 97 Ordinary differential equations (34-XX) 97 Operator theory (47-XX) 91 Quantum theory (81-XX) 84 Difference and functional equations (39-XX) 72 Number theory (11-XX) 66 Integral transforms, operational calculus (44-XX) 54 Statistics (62-XX) 48 Functional analysis (46-XX) 47 Real functions (26-XX) 43 Statistical mechanics, structure of matter (82-XX) 37 Partial differential equations (35-XX) 24 Computer science (68-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Nonassociative rings and algebras (17-XX) 20 Sequences, series, summability (40-XX) 16 Abstract harmonic analysis (43-XX) 14 Field theory and polynomials (12-XX) 11 Information and communication theory, circuits (94-XX) 10 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 8 History and biography (01-XX) 8 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Associative rings and algebras (16-XX) 6 Integral equations (45-XX) 5 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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