Results 91 to 100 of about 27,298 (248)

Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function

, 2006
Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core  

Multivariate Bernoulli polynomials

, 2019
We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties: difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental ...
openaire   +2 more sources

Multiple Changepoint Detection for Non‐Gaussian Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT This article combines methods from existing techniques to identify multiple changepoints in non‐Gaussian autocorrelated time series. A transformation is used to convert a Gaussian series into a non‐Gaussian series, enabling penalized likelihood methods to handle non‐Gaussian scenarios.
Robert Lund, Thomas J. Fisher, Norou Diawara, Michael Wehner   +3 more
wiley   +1 more source

A new class of generalized polynomials associated with Hermite and Bernoulli polynomials

Le Matematiche, 2015
In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
doaj  

Continued fraction representation of the generating function of Bernoulli polynomials [PDF]

, 2022
M. M. Pahirya
openalex   +1 more source

Matiyasevich-type identities for hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials

Moscow Journal of Combinatorics and Number Theory, 2019
The author studies on the Matiyasevich-type identities involving hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials. By using binomial theorem, and also generating functions, the author gives some new formulas involving generalization of Matiyasevich's identity, Miki identity which relates two types of convolutions of Bernoulli numbers
openaire   +2 more sources

Reduced rank regression for mixed predictor and response variables

British Journal of Mathematical and Statistical Psychology, Volume 79, Issue 1, Page 173-206, February 2026.
Abstract In this paper, we propose the generalized mixed reduced rank regression method, GMR3 for short. GMR3 is a regression method for a mix of numeric, binary and ordinal response variables. The predictor variables can be a mix of binary, nominal, ordinal and numeric variables. For dealing with the categorical predictors we use optimal scaling.
Mark de Rooij, Lorenza Cotugno, Roberta Siciliano   +2 more
wiley   +1 more source

Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]

Int J Appl Comput Math, 2022
Pourdarvish A, Sayevand K, Masti I, Kumar S.   +3 more
europepmc   +1 more source

Asymptotic approximations for Generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials in terms of Hyperbolic Functions

, 2023
Cristina B. Corcino, Roberto B. Corcino
openalex   +2 more sources

Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

Kragujevac Journal of Mathematics, 2023
The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized Bernoulli polynomials and Gegenbauer polynomials.
openaire   +3 more sources