Results 141 to 150 of about 1,776 (233)

Several identities for the generalized Apostol–Bernoulli polynomials

open access: yes, 2008
The purpose of this paper is to give several symmetric identities on the generalized Apostol–Bernoulli polynomials by applying the generating functions.
Yang, Hanqing, Zhang, Zhizheng
core   +1 more source

On the restricted partition function via determinants with Bernoulli polynomials

open access: yes, 2019
Let $r\geq 1$ be an integer, $\mathbf a=(a_1,\ldots,a_r)$ a vector of positive integers and let $D\geq 1$ be a common multiple of $a_1,\ldots,a_r$. We prove that, if a determinant $\Delta_{r,D}$, which depends only on $r$ and $D$, with entries consisting
Cimpoeas, Mircea
core   +2 more sources

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

q-Bernoulli numbers and q-Bernoulli polynomials revisited

open access: yesAdvances in Difference Equations, 2011
This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
doaj  

An Euler-Maclaurin-type formula involving conjugate Bernoulli polynomials and an application to #zeta#(2m+1)

open access: yes, 1995
The conjugate Bernoulli polynomials B_n"#propor to#(x) are defined by applying the Hilbert transform to the (periodic) Bernoulli polynomials, B_n"#propor to#(x):=H_1B_n(x), x element of [0, 1).
Hauss, M.   +1 more
core  

On Carlitz theorem for Bernoulli polynomials

open access: yes, 1998
The well-known Carlitz theorem for the Bernoulli numbers Bn, (see [3]) is extended to the case of values of the Bernoulli polynomials Bn(y) at rational points a/b, where (b,n ...
Bartz, Krystyna M.
core   +1 more source

Zeros of the Second Kind (h, q)-Bernoulli Polynomials

open access: yes, 2012
In this paper, we investigate the zeros of the second kind (h, q)-Bernoulli polynomials
C S Ryoo
core  

Bernoulli polynomials for a new subclass of Te-univalent functions. [PDF]

open access: yesHeliyon
Saravanan G   +6 more
europepmc   +1 more source

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