Advances 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
Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. [PDF]
Res Number Theory, 2023 Mukherjee G.
europepmc +1 more source
Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]
Fract Calc Appl Anal, 2022 Nieto JJ.
europepmc +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 +3 more
europepmc +1 more source
A Generalization of the Eulerian Numbers
, 2017 In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some ...
Rzadkowski, Grzegorz +1 more
core
Plasma osteopontin versus intima media thickness of the common carotid arteries in well-characterised patients with systemic lupus erythematosus. [PDF]
Lupus, 2021 Wirestam L +6 more
europepmc +1 more source
Fourier series of higher-order Daehee and Changhee functions and their applications. [PDF]
J Inequal Appl, 2017 Lim D.
europepmc +1 more source
Fourier series of higher-order Bernoulli functions and their applications. [PDF]
J Inequal Appl, 2017 Kim T, Kim DS, Rim SH, Dolgy DV.
europepmc +1 more source
Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. [PDF]
J Inequal Appl, 2018 Simsek Y, Kim D.
europepmc +1 more source