Results 51 to 60 of about 956 (98)

On the decomposability of linear combinations of Euler polynomials

, 2017
Considering the effect of addition to the polynomial decomposition, we present some results on the decomposability of linear combinations of Euler polynomials.
Á. Pintér, Csaba Rakaczki
semanticscholar   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

New identities involving Bernoulli, Euler and Genocchi numbers

, 2013
Using p-adic integral, many new convolution identities involving Bernoulli, Euler and Genocchi numbers are given.MSC:11B68, 11S80.
Su Hu, Dae-Jung Kim, Min-Soo Kim
semanticscholar   +1 more source

Computing a family of probabilistic numbers in terms of probabilistic Stirling numbers of the second kind

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums

, 2013
In recent years, symmetry properties of the Bernoulli polynomials and the Euler polynomials have been studied by a large group of mathematicians (He and Wang in Discrete Dyn. Nat. Soc. 2012:927953, 2012, Kim et al. in J. Differ. Equ. Appl.
V. Kurt
semanticscholar   +1 more source

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +1 more source

Some identities of Genocchi polynomials arising from Genocchi basis

, 2013
In this paper, we give some interesting identities which are derived from the basis of Genocchi. From our methods which are treated in this paper, we can derive some new identities associated with Bernoulli and Euler polynomials.MSC:11B68, 11S80.
Taekyun Kim, S. Rim, D. V. Dolgy, Sang-Hun Lee   +3 more
semanticscholar   +1 more source

A note on the Analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on Zp

, 2013
We give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on Zp. In a special case, when the weight qx is 1, we can derive the same result as Kim et al. (Abstr. Appl. Anal. 2011:637634, 2011).
H. Pak, S. Rim, Joohee Jeong
semanticscholar   +1 more source

q-Bernoulli numbers and q-Bernoulli polynomials revisited

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  

A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties

, 2018
In this paper, we define a (p, v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81106].
G. Rahman, K. Nisar, S. Mubeen
semanticscholar   +1 more source