Edit Profile (opens in new tab) Szabłowski, Paweł Jerzy Co-Author Distance Author ID: szablowski.pawel-jerzy Published as: Szabłowski, Paweł J.; Szabłowski, P. J.; Szablowski, Pawel J.; Szabłowski, Pawel J.; Szabłowski, Paweł Jerzy; Szablowski, Paweł J.; Szabłowski, Paweł more...less External Links: ORCID Documents Indexed: 66 Publications since 1975, including 11 Additional arXiv Preprints Co-Authors: 4 Co-Authors with 7 Joint Publications 155 Co-Co-Authors Co-Authors 59 single-authored 5 Matysiak, Wojciech 2 Bryc, Włodzimierz 1 Ahsanullah, Mohammad 1 Wesołowski, Jacek all top 5 Serials 7 Computers & Mathematics with Applications 4 Demonstratio Mathematica 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Statistics & Probability Letters 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 1 Archiwum Automatyki i Telemechaniki 1 Discrete Mathematics 1 Theory of Probability and its Applications 1 The Annals of Probability 1 Colloquium Mathematicum 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Stochastic Analysis and Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Positivity 1 Journal of Integer Sequences 1 Quantum Information Processing 1 Hacettepe Journal of Mathematics and Statistics 1 Advances in Difference Equations 1 Stochastics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Probability and Statistics 1 Mathematica Æterna all top 5 Fields 39 Probability theory and stochastic processes (60-XX) 20 Special functions (33-XX) 18 Statistics (62-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Combinatorics (05-XX) 7 Number theory (11-XX) 5 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Sequences, series, summability (40-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 218 times in 104 Documents Cited by ▼ Year ▼ Probabilistic aspects of Al-Salam–Chihara polynomials. Zbl 1074.33015 Bryc, Wlodzimierz; Matysiak, Wojciech; Szablowski, Paweł J. 24 2005 Discrete normal distribution and its relationship with Jacobi theta functions. Zbl 1081.60012 Szabłowski, Paweł J. 15 2001 Uniform distributions on spheres in finite dimensional \(L_\alpha\) and their generalizations. Zbl 0893.62044 Szabłowski, Pawel J. 15 1998 On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters. Zbl 1222.33016 Szabłowski, Paweł J. 14 2011 Expansions of one density via polynomials orthogonal with respect to the other. Zbl 1232.33019 Szabłowski, Paweł J. 14 2011 Multidimensional \(q\)-normal and related distributions – Markov case. Zbl 1222.62061 Szabłowski, Paweł Jerzy 10 2010 On the \(q\)-Hermite polynomials and their relationship with some other families of orthogonal polynomials. Zbl 1290.33024 Szabłowski, Paweł J. 9 2013 Moments of \(q\)-normal and conditional \(q\)-normal distributions. Zbl 1463.62020 Szabłowski, Paweł J. 7 2015 Expansions of \(E(X| Y+\epsilon X)\) and their applications to the analysis of elliptically contoured measures. Zbl 0697.60019 Szabłowski, P. J. 7 1990 Can the first two conditional moments identify a mean square differentiable process? Zbl 0681.60048 Szabłowski, P. J. 7 1989 Some inequalities for characteristic functions. Zbl 0996.60015 Matysiak, W.; Szabłowski, P. J. 6 2001 Befriending Askey-Wilson polynomials. Zbl 1301.33025 Szabłowski, Paweł J. 6 2014 A few remarks on quadratic harnesses. Zbl 1319.39005 Szabłowski, Paweł J. 5 2014 Around Poisson-Mehler summation formula. Zbl 1370.41015 Szabłowski, Paweł J. 5 2016 On distributive relations involving conditional moments and the probability distribution of the conditioning random variable. Zbl 0627.60020 Szabłowski, Pawel J. 5 1986 Q-Gaussian distributions: simplifications and simulations. Zbl 1205.60035 Szabłowski, Paweł J. 5 2009 \(q\)-Wiener and \((\alpha,q)\)-Ornstein-Uhlenbeck processes. A generalization of known processes. Zbl 1276.60045 Szabłowski, P. J. 5 2012 On stationary Markov processes with polynomial conditional moments. Zbl 1377.60050 Szabłowski, Paweł J. 4 2017 On Markov processes with polynomial conditional moments. Zbl 1334.60154 Szabłowski, Paweł J. 4 2015 On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures. Zbl 1290.33012 Szabłowski, Paweł J. 4 2013 Generalized laws of large numbers and auxiliary results concerning stochastic approximation with dependent disturbances. II. Zbl 0644.62084 Szabłowski, P. J. 4 1987 Towards a \(q\)-analogue of the Kibble-Slepian formula in 3 dimensions. Zbl 1236.33035 Szabłowski, Paweł J. 4 2012 A few remarks on orthogonal polynomials. Zbl 1338.42034 Szabłowski, Paweł J. 4 2015 On summable, positive Poisson-Mehler kernels built of Al-Salam-Chihara and related polynomials. Zbl 1266.33018 Szabłowski, Paweł J. 4 2012 On three dimensional multivariate version of \(q\)-normal distribution and probabilistic interpretations of Askey-Wilson, Al-Salam-Chihara and \(q\)-ultraspherical polynomials. Zbl 1478.60061 Szabłowski, Paweł J. 3 2019 Some remarks on two dimensional elliptically contoured measures with second moments. Zbl 0648.60015 Szabłowski, Paweł J. 3 1986 Some characteristic of normal distribution by conditional moments. Zbl 0754.62009 Bryc, Włodzimierz; Szabłowski, Paweł J. 3 1990 Askey-Wilson integral and its generalizations. Zbl 1347.33038 Szabłowski, Paweł J. 3 2014 On the properties of marginal densities and conditional moments of elliptically contoured measures. Zbl 0642.60007 Szabłowski, P. J. 2 1987 Stochastic approximation with dependent disturbances. I. Zbl 0644.62083 Szabłowski, P. J. 2 1987 Probabilistic implications of symmetries of \(q\)-Hermite and Al-Salam-Chihara polynomials. Zbl 1175.60050 Szabłowski, Paweł J. 2 2008 A few remarks on Bryc’s paper on random fields with linear regressions. Zbl 1022.60048 Matysiak, Wojciech; Szabłowski, Paweł J. 2 2002 On positivity of orthogonal series and its applications in probability. Zbl 1508.42033 Szabłowski, Paweł J. 2 2022 On the generalized Kesten-McKay distributions. Zbl 1447.60043 Szabłowski, Paweł J. 2 2020 Generalized stationary random fields with linear regressions - an operator approach. Zbl 1146.60030 Matysiak, Wojciech; Szabłowski, Paweł J. 2 2008 Markov processes, polynomial martingales and orthogonal polynomials. Zbl 1498.60313 Szabłowski, Paweł J. 2 2018 On probabilistic aspects of Chebyshev polynomials. Zbl 1412.62063 Szabłowski, Paweł J. 1 2019 On peculiar properties of generating functions of some orthogonal polynomials. Zbl 1262.33014 Szabłowski, Paweł J. 1 2012 Yet another way of calculating moments of the Kesten’s distribution and its consequences for Catalan numbers and Catalan triangles. Zbl 1491.60032 Szabłowski, Paweł J. 1 2022 On positivity of orthogonal series and its applications in probability. Zbl 1508.42033 Szabłowski, Paweł J. 2 2022 Yet another way of calculating moments of the Kesten’s distribution and its consequences for Catalan numbers and Catalan triangles. Zbl 1491.60032 Szabłowski, Paweł J. 1 2022 On the generalized Kesten-McKay distributions. Zbl 1447.60043 Szabłowski, Paweł J. 2 2020 On three dimensional multivariate version of \(q\)-normal distribution and probabilistic interpretations of Askey-Wilson, Al-Salam-Chihara and \(q\)-ultraspherical polynomials. Zbl 1478.60061 Szabłowski, Paweł J. 3 2019 On probabilistic aspects of Chebyshev polynomials. Zbl 1412.62063 Szabłowski, Paweł J. 1 2019 Markov processes, polynomial martingales and orthogonal polynomials. Zbl 1498.60313 Szabłowski, Paweł J. 2 2018 On stationary Markov processes with polynomial conditional moments. Zbl 1377.60050 Szabłowski, Paweł J. 4 2017 Around Poisson-Mehler summation formula. Zbl 1370.41015 Szabłowski, Paweł J. 5 2016 Moments of \(q\)-normal and conditional \(q\)-normal distributions. Zbl 1463.62020 Szabłowski, Paweł J. 7 2015 On Markov processes with polynomial conditional moments. Zbl 1334.60154 Szabłowski, Paweł J. 4 2015 A few remarks on orthogonal polynomials. Zbl 1338.42034 Szabłowski, Paweł J. 4 2015 Befriending Askey-Wilson polynomials. Zbl 1301.33025 Szabłowski, Paweł J. 6 2014 A few remarks on quadratic harnesses. Zbl 1319.39005 Szabłowski, Paweł J. 5 2014 Askey-Wilson integral and its generalizations. Zbl 1347.33038 Szabłowski, Paweł J. 3 2014 On the \(q\)-Hermite polynomials and their relationship with some other families of orthogonal polynomials. Zbl 1290.33024 Szabłowski, Paweł J. 9 2013 On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures. Zbl 1290.33012 Szabłowski, Paweł J. 4 2013 \(q\)-Wiener and \((\alpha,q)\)-Ornstein-Uhlenbeck processes. A generalization of known processes. Zbl 1276.60045 Szabłowski, P. J. 5 2012 Towards a \(q\)-analogue of the Kibble-Slepian formula in 3 dimensions. Zbl 1236.33035 Szabłowski, Paweł J. 4 2012 On summable, positive Poisson-Mehler kernels built of Al-Salam-Chihara and related polynomials. Zbl 1266.33018 Szabłowski, Paweł J. 4 2012 On peculiar properties of generating functions of some orthogonal polynomials. Zbl 1262.33014 Szabłowski, Paweł J. 1 2012 On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters. Zbl 1222.33016 Szabłowski, Paweł J. 14 2011 Expansions of one density via polynomials orthogonal with respect to the other. Zbl 1232.33019 Szabłowski, Paweł J. 14 2011 Multidimensional \(q\)-normal and related distributions – Markov case. Zbl 1222.62061 Szabłowski, Paweł Jerzy 10 2010 Q-Gaussian distributions: simplifications and simulations. Zbl 1205.60035 Szabłowski, Paweł J. 5 2009 Probabilistic implications of symmetries of \(q\)-Hermite and Al-Salam-Chihara polynomials. Zbl 1175.60050 Szabłowski, Paweł J. 2 2008 Generalized stationary random fields with linear regressions - an operator approach. Zbl 1146.60030 Matysiak, Wojciech; Szabłowski, Paweł J. 2 2008 Probabilistic aspects of Al-Salam–Chihara polynomials. Zbl 1074.33015 Bryc, Wlodzimierz; Matysiak, Wojciech; Szablowski, Paweł J. 24 2005 A few remarks on Bryc’s paper on random fields with linear regressions. Zbl 1022.60048 Matysiak, Wojciech; Szabłowski, Paweł J. 2 2002 Discrete normal distribution and its relationship with Jacobi theta functions. Zbl 1081.60012 Szabłowski, Paweł J. 15 2001 Some inequalities for characteristic functions. Zbl 0996.60015 Matysiak, W.; Szabłowski, P. J. 6 2001 Uniform distributions on spheres in finite dimensional \(L_\alpha\) and their generalizations. Zbl 0893.62044 Szabłowski, Pawel J. 15 1998 Expansions of \(E(X| Y+\epsilon X)\) and their applications to the analysis of elliptically contoured measures. Zbl 0697.60019 Szabłowski, P. J. 7 1990 Some characteristic of normal distribution by conditional moments. Zbl 0754.62009 Bryc, Włodzimierz; Szabłowski, Paweł J. 3 1990 Can the first two conditional moments identify a mean square differentiable process? Zbl 0681.60048 Szabłowski, P. J. 7 1989 Generalized laws of large numbers and auxiliary results concerning stochastic approximation with dependent disturbances. II. Zbl 0644.62084 Szabłowski, P. J. 4 1987 On the properties of marginal densities and conditional moments of elliptically contoured measures. Zbl 0642.60007 Szabłowski, P. J. 2 1987 Stochastic approximation with dependent disturbances. I. Zbl 0644.62083 Szabłowski, P. J. 2 1987 On distributive relations involving conditional moments and the probability distribution of the conditioning random variable. Zbl 0627.60020 Szabłowski, Pawel J. 5 1986 Some remarks on two dimensional elliptically contoured measures with second moments. Zbl 0648.60015 Szabłowski, Paweł J. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 28 Szabłowski, Paweł Jerzy 13 Bryc, Włodzimierz 9 Wesołowski, Jacek 6 Hashorva, Enkelejd 6 Richter, Wolf-Dieter 3 Hu, Chinyuan 3 Kota, V. K. B. 3 Lin, Gwo Dong 3 Matysiak, Wojciech 3 Smoleński, Włodzimierz Henryk 3 Vyas, Manan 2 Area, Iván 2 Chavda, N. D. 2 Chesneau, Christophe 2 Inusah, Seidu 2 Kachour, Maher 2 Karlis, Dimitris 2 Kozubowski, Tomasz J. 2 Rao, Priyanka 2 Wang, Yizao 1 Agostini, Daniele 1 Ahn, Andrew C. 1 Ahsanullah, Mohammad 1 Améndola, Carlos 1 Andersson, Jonas 1 Antic, Dragan S. 1 Aspelmeier, Timo 1 Berkooz, Micha 1 Bidram, Hamid 1 Cambanis, Stamatis 1 Cao, Jian 1 Cébron, Guillaume 1 Chakraborty, Subrata 1 Chiang, Yik-Man 1 Danković, Bratislav M. 1 Deng, Zhiliang 1 Diaz, Rafael E. 1 Einmahl, John H. J. 1 Feng, Shaoji 1 Fotopoulos, Stergios B. 1 Foupouagnigni, Mama 1 Ftorek, Branislav 1 Gantner, Maria 1 Gerhold, Stefan 1 Godoy, Eduardo Paciência 1 Guemo Tefo, Y. 1 Hasegawa, Takehiro 1 He, Lijian 1 Ho, Ching Wei 1 Isachenkov, Mikhail 1 Ismail, Mourad El-Houssieny 1 Jovanović, Zoran 1 Kotz, Samuel 1 Krajina, Andrea 1 Letac, Gérard G. 1 Leung, Ping-kei 1 Liechty, Karl 1 Losada, Jorge 1 Lyu, Jiahang 1 Manintchap, Ariane 1 Mardia, Kanti V. 1 Millet, Annie 1 Milojković, Marko T. 1 Munk, Axel 1 Nadarajah, Saralees 1 Najarzadeh, Dariush 1 Narovlansky, Vladimir 1 Nekoukhou, Vahid 1 Nikolić, Saša S. 1 Oršanský, Pavol 1 Pang, Wankai 1 Pariguan, Eddy 1 Russkikh, Marianna 1 Saito, Seiken 1 Šamajová, Helena 1 Schicker, Kay 1 Schmidt-Hieber, Johannes 1 Schneider, Laura Fee 1 Shevtsova, I. G. 1 Shevtsova, Irina 1 Sriram, Karthik 1 Staudt, Thomas 1 Tojo, Koichi 1 Torrents, Genís 1 Ushakov, Nikolaĭ Georgievich 1 Ushakov, Vadim Gennad’evich 1 Valdez, Emiliano A. 1 van Peski, Roger 1 Wang, Dong 1 Xiao, Yugu 1 Yang, Xiaomei 1 Yang, Zhenhai 1 Yoshino, Taro 1 Zeiner, Martin 1 Zięba, Agnieszka all top 5 Cited in 58 Serials 9 Journal of Mathematical Analysis and Applications 6 Journal of Multivariate Analysis 6 Statistics & Probability Letters 5 Computers & Mathematics with Applications 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 The Annals of Probability 3 Journal of Statistical Planning and Inference 3 Proceedings of the American Mathematical Society 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Statistical Distributions and Applications 2 Discrete Mathematics 2 Colloquium Mathematicum 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 Communications in Statistics. Theory and Methods 2 Stochastic Processes and their Applications 2 Extremes 2 Journal of Probability and Statistics 2 Sankhyā. Series A 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Physics Letters. A 1 Studia Mathematica 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of the Indian Institute of Science 1 Moscow University Computational Mathematics and Cybernetics 1 Insurance Mathematics & Economics 1 Statistics 1 Annals of Physics 1 Statistische Hefte 1 Test 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Journal of Integer Sequences 1 Journal of High Energy Physics 1 Quantitative Finance 1 Statistical Modelling 1 Advances in Difference Equations 1 Stochastics 1 Statistical Methodology 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 SIAM Journal on Applied Algebra and Geometry 1 Information Geometry 1 Results in Applied Mathematics all top 5 Cited in 29 Fields 61 Probability theory and stochastic processes (60-XX) 43 Statistics (62-XX) 20 Special functions (33-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Combinatorics (05-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Numerical analysis (65-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year