Results 91 to 100 of about 18,359 (203)
Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials
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
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
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
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
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
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
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
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
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
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Identities associated with Milne–Thomson type polynomials and special numbers
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

