P. Szabłowski

发表

Stationary, Markov, stochastic processes with polynomial conditional moments and continuous paths

P. Szabłowski, 2022, 2206.11798.

On positivity of orthogonal series and its applications in probability

P. Szabłowski, 2022, Positivity.

Towards a q-analogue of the Kibble–Slepian formula in 3 dimensions

P. Szabłowski, 2010, 1011.4929.

$q$-Wiener and $(\alpha, q)$-Ornstein - Uhlenbeck processes. A generalization of known processes@@@$q$-Wiener and $(\alpha, q)$-Ornstein - Uhlenbeck processes. A generalization of known processes

P. Szabłowski, 2011 .

-Gaussian Distributions: Simplifications and Simulations

P. Szabłowski, 2009 .

$q-$Wiener ($\alpha,q)-$ Ornstein-Uhlenbeck processes. A generalization of known processes

P. Szabłowski, 2005, math/0507303.

Moment sequences and difference equations

P. Szabłowski, 2022, 2204.04706.

A few remarks on values of Hurwitz Zeta function at natural and rational arguments

P. Szabłowski, 2014, 1405.6270.

Generalized stationary random fields with linear regressions - an operator approach

W. Matysiak, P. Szabłowski, 2005, math/0507332.

Uniform Distributions on Spheres in Finite DimensionalL α and Their Generalizations

P. Szabłowski, 1998 .

Extracting information from random data. Applications of laws of large numbers in technical sciences and statistics

P. Szablowski, P. Szabłowski, 2016, 1611.03395.

On the q-Hermite polynomials and their relationship with some other families of orthogonal polynomials

P. Szabłowski, 2011, 1101.2875.

Discrete Normal distribution and its relationship with Jacobi Theta functions

Paweł J. Szabłowski, P. Szablowski, P. Szabłowski, 2001 .

On positivity of orthogonal series and its applications in probability

P. Szabłowski, 2020, Positivity.

On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications

P. Szabłowski, 2020, Infinite Dimensional Analysis, Quantum Probability and Related Topics.

On the families of polynomials forming a part of the so-called Askey--Wilson scheme and their probabilistic applications

P. Szabłowski, 2020 .

On probabilistic aspects of Chebyshev polynomials

P. Szabłowski, 2015, Statistics & Probability Letters.

On Markov processes with polynomial conditional moments

P. Szabłowski, 2015 .

On stationary Markov processes with polynomial conditional moments

P. Szabłowski, 2013, 1312.4887.

On Markov processes with polynomials conditional moments

P. Szabłowski, 2012, 1210.6055.

Understanding mathematics of Grover’s algorithm

Pawel J. Szablowski, P. Szabłowski, 2021, Quantum Information Processing.

On three dimensional multivariate version of q-Normal distribution and probabilistic interpretations of Askey–Wilson, Al-Salam–Chihara and q-ultraspherical polynomials

P. Szabłowski, 2017, Journal of Mathematical Analysis and Applications.

On the generalized Kesten–McKay distributions

P. Szabłowski, 2015, ESAIM: Probability and Statistics.

Moments of q-Normal and conditional q-Normal distributions

P. Szabłowski, 2015, 1506.07970.

A few remarks on orthogonal polynomials

Paweł J. Szabłowski, P. Szabłowski, 2013, Appl. Math. Comput..

A few remarks on quadratic harnesses

P. Szabłowski, 2012, 1207.1172.

On peculiar properties of generating functions of some orthogonal polynomials

P. Szabłowski, 2012, 1204.0972.

Befriending Askey-Wilson polynomials

P. Szabłowski, 2011, 1111.0601.

Around Poisson--Mehler summation formula

P. Szablowski, P. Szabłowski, 2011, 1108.3024.

ON SUMMABLE, POSITIVE POISSON–MEHLER KERNELS BUILT OF AL-SALAM–CHIHARA AND RELATED POLYNOMIALS

P. Szablowski, P. Szabłowski, 2010, 1011.1848.

On the structure and probabilistic interpretation of Askey–Wilson densities and polynomials with complex parameters

P. Szablowski, P. Szabłowski, 2010, 1011.1541.

Expansions of one density via polynomials orthogonal with respect to the other

P. Szabłowski, 2010, 1011.1492.

Multidimensional q-Normal and Related Distributions - Markov Case

P. Szabłowski, 2009, 0911.0109.

Probabilistic aspects of Al-Salam–Chihara polynomials

W. Bryc, P. Szablowski, W. Matysiak, 2003, math/0304155.

Some Inequalities for Characteristic Functions

W. Matysiak, P. Szabłowski, 2001 .

Bryc's random fields: the existence and distributions analysis

P. Szablowski, W. Matysiak, P. Szabłowski, 2005, math/0507296.

Moment sequences of Beta distribution

P. Szabłowski, 2021, 2112.13420.

Yet another way of calculating moments of the Kesten's distribution and its consequences for Catalan numbers and Catalan triangles

P. Szabłowski, 2021, Discret. Math..

On a class of bivariate distributions built of q-ultraspherical polynomials

P. Szabłowski, 2023, 2309.13652.

Stationary, Markov, stochastic processes with polynomial conditional moments and continuous paths

P. Szabłowski, 2022, Stochastics.

Polynomial identities that involve binomial coefficients, double and rising factorials and their probabilistic interpretations and proofs

P. Szabłowski, 2022, 2206.02201.

On summable form of Poisson-Mehler kernel for big q-Hermite and Al-Salam-Chihara polynomials

P. Szablowski, P. Szabłowski, 2010 .