Results 91 to 100 of about 18,359 (203)

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

open access: yesMathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci   +2 more
doaj   +1 more source

On the Modified q-Bernoulli Numbers of Higher Order with Weight

open access: yesAbstract and Applied Analysis, 2012
The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic p-adic q-integral on ℤp, we derive new identities of q-Bernoulli numbers and ...
T. Kim, J. Choi, Y.-H. Kim, S.-H. Rim
doaj   +1 more source

Identities on the k-ary Lyndon words related to a family of zeta functions

open access: yes, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core  

Multiple Changepoint Detection for Non‐Gaussian Time Series

open access: yesJournal of Time Series Analysis, Volume 47, Issue 3, Page 465-484, May 2026.
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   +3 more
wiley   +1 more source

A New Approach to -Bernoulli Numbers and -Bernoulli Polynomials Related to -Bernstein Polynomials

open access: yesAdvances in Difference Equations, 2010
We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet   +2 more
doaj  

A new family of q-Bernstein polynomials: probabilistic viewpoint

open access: yesArab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc   +2 more
doaj   +1 more source

Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

open access: yesAdvances in Difference Equations, 2010
We investigate some interesting properties of Bernstein polynomials associated with boson p-adic integrals on Zp.
Kim T., Kim M.-S., Lee B., Ryoo C.-S.
openaire   +5 more sources

Fractional clique decompositions of dense hypergraphs

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract In 2014, Keevash famously proved the existence of (n,q,r)$(n,q,r)$‐Steiner systems as part of settling the Existence Conjecture of Combinatorial Designs (dating from the mid‐1800s). In 2020, Glock, Kühn, and Osthus conjectured a minimum degree generalization: specifically that minimum (r−1)$(r-1)$‐degree at least (1−Cqr−1)n$(1-\frac{C}{q^{r-1}}
Michelle Delcourt   +2 more
wiley   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas   +2 more
doaj   +1 more source

Identities associated with Milne–Thomson type polynomials and special numbers

open access: yesJournal of Inequalities and Applications, 2018
The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
doaj   +1 more source

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