Found 38 Documents (Results 1–38)
Corrigendum to the papers on exceptional orthogonal polynomials: “Exceptional Charlier and Hermite orthogonal polynomials”, “Exceptional Meixner and Laguerre orthogonal polynomials”, “Exceptional Hahn and Jacobi orthogonal polynomials”. (English) Zbl 1443.42016
Model order reduction for discrete-time linear systems with the discrete-time polynomials. (English) Zbl 1425.93063
On derivatives of hypergeometric functions and classical polynomials with respect to parameters. (English) Zbl 1400.33013
Poisson approximations for sum of Bernoulli random variables and its application to Ewens sampling formula. (English) Zbl 1395.62030
Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients. (English) Zbl 1302.39006
The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states. (English) Zbl 1296.33025
Reviewer: József Sándor (Cluj-Napoca)
Exceptional Charlier and Hermite orthogonal polynomials. (English) Zbl 1298.33016
J. Approx. Theory 182, 29-58 (2014); corrigendum ibid. 253, Article ID 105349, 5 p. (2020).
Reviewer: Renato Alvarez-Nodarse (Sevilla)
Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians. (English) Zbl 1283.33010
Reviewer: Peter Massopust (München)
On the higher-order Sheffer orthogonal polynomial sequences. (English) Zbl 1262.33011
SpringerBriefs in Mathematics. Berlin: Springer (ISBN 978-1-4614-5968-2/pbk; 978-1-4614-5969-9/ebook). xii, 106 p. (2013).
Reviewer: Nele De Schepper (Gent)
Polynomial multiplication over binary fields using Charlier polynomial representation with low space complexity. (English) Zbl 1253.94040
Gong, Guang (ed.) et al., Progress in cryptology – INDOCRYPT 2010. 11th international conference on cryptology in India, Hyderabad, India, December 12–15, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-17400-1/pbk). Lecture Notes in Computer Science 6498, 227-237 (2010).
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. (English) Zbl 1192.42015
Bounds and asymptotics for the rate of convergence of birth-death processes. (English. Russian original) Zbl 1204.60083
Theory Probab. Appl. 54, No. 1, 97-113 (2010); translation from Teor. Veroyatn. Primen. 54, No. 1, 18-38 (2009).
Reviewer: Valentin Topchii (Omsk)
Spectral approximation of solutions to the chemical master equation. (English) Zbl 1168.65006
Reviewer: Grigori N. Milstein (Ekaterinburg)
Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials. (English. Russian original) Zbl 1155.81339
Theor. Math. Phys. 155, No. 1, 536-543 (2008); translation from Teor. Mat. Fiz. 155, No. 1, 39-46 (2008).
Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions. (English) Zbl 1157.62005
Applications of the classical umbral calculus. (English) Zbl 1092.05005
Reviewer: Ivan Chajda (Olomouc)
Some discrete multiple orthogonal polynomials. (English) Zbl 1021.33006
Reviewer: Marcel G.de Bruin (Delft)
Discrete orthogonal polynomial ensembles and the Plancherel measure. (English) Zbl 0984.15020
Reviewer: Yueh-er Kuo (Knoxville)
On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. (English) Zbl 0934.33026
Reviewer: Ch.Krattenthaler (Wien)
Some properties of polynomial-normal distributions associated with Hermite polynomials. (English) Zbl 0932.60014
MSC:
60E05
Distribution theory and inference for polynomial-normal densities. (English) Zbl 0825.62130
MSC:
62-XX
Non-linear multi-degree-of-freedom system random vibration by equivalent statistical quadratization. (English) Zbl 0765.70019
MSC:
70L05
A moment solution for the characteristics of composite distribution of some initial errors in engineering. (Chinese. English summary) Zbl 0705.62024
MSC:
62E17
Linear birth and death models and associated Laguerre and Meixner polynomials. (English) Zbl 0656.60092
Reviewer: A.M.Mathai
On generalized four-parameter Charlier distribution. (English) Zbl 0601.60012
Reviewer: J.Panaretos
MSC:
60E05
Another hypergeometric representation and special properties of a class of polynomials. (English) Zbl 0585.33003
Reviewer: N.K.Thakare
Some generating functions involving the Hermite polynomials. (English) Zbl 0546.33010
Reviewer: J.P.Singhal
MSC:
33C45
A novel extension of Lee’s trilateral generating relation involving Tchebychev and Charlier polynomials. (English) Zbl 0524.33010
On approximating the non-central Wishart distribution by central Wishart distribution. A Monte Carlo study. (English) Zbl 0496.62022
Combinatorial aspects of continued fractions. (English) Zbl 0445.05014
Reviewer: R. C. Read
On approximating multivariate distributions. (English) Zbl 0443.62037
Multivariate statistical analysis, Proc. Res. Semin., Halifax/Can. 1979, 237-249 (1980).
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