Results 81 to 90 of about 26,055 (202)

Two types of hypergeometric degenerate Cauchy numbers

Open Mathematics, 2020
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
doaj   +1 more source

Degenerate Poly-Lah-Bell Polynomials and Numbers

Journal of Mathematics, 2022
Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj   +1 more source

On the apostol-bernoulli polynomials

Open Mathematics, 2004
Abstract In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
openaire   +2 more sources

A Conversation With David Bellhouse

International Statistical Review, EarlyView.
Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
wiley   +1 more source

Some Formulae for the Product of Two Bernoulli and Euler Polynomials

Abstract and Applied Analysis, 2012
We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.
D. S. Kim, D. V. Dolgy, T. Kim, S.-H. Rim   +3 more
doaj   +1 more source

General congruences for Bernoulli polynomials

Discrete Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Markov Determinantal Point Process for Dynamic Random Sets

Journal of Time Series Analysis, EarlyView.
ABSTRACT The Law of Determinantal Point Process (LDPP) is a flexible parametric family of distributions over random sets defined on a finite state space, or equivalently over multivariate binary variables. The aim of this paper is to introduce Markov processes of random sets within the LDPP framework. We show that, when the pairwise distribution of two
Christian Gouriéroux, Yang Lu
wiley   +1 more source

A new operational matrix based on Bernoulli polynomials [PDF]

, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S., Parand, K., Rad, J. A., Shaban, M.   +3 more
core  

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

Some identities of Lah–Bell polynomials

Advances in Difference Equations, 2020
Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma, Dae San Kim, Taekyun Kim, Hanyoung Kim, Hyunseok Lee   +4 more
doaj   +1 more source