Results 31 to 40 of about 66,689 (211)

New Approach to q-Euler Numbers and Polynomials

open access: yesAdvances in Difference Equations, 2010
We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim   +3 more
doaj   +1 more source

Identities on Changhee Polynomials Arising from λ-Sheffer Sequences

open access: yesComplexity, 2022
In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim   +3 more
doaj   +1 more source

New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m

open access: yesМатематичні Студії, 2021
We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya   +3 more
doaj   +1 more source

Degenerate Euler zeta function

open access: yes, 2015
Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler ...
Kim, Taekyun
core   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

open access: yesApplied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan   +3 more
doaj   +1 more source

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

open access: yesAdvances in Difference Equations, 2019
Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials, which are type 2
Taekyun Kim   +3 more
doaj   +1 more source

Euler Pseudoprime Polynomials and Strong Pseudoprime Polynomials

open access: yesFinite Fields and Their Applications, 2000
The subject of primality testing has become very important over the past few decades with a number of important results and concepts being developed. In this very interesting paper, the author uses a particular rank one Drinfeld module defined by M. van der Put to establish an analog of some of these results for \(\mathbb{F}_q[t]\).
openaire   +1 more source

f-polynomials, h-polynomials and l2-Euler characteristics

open access: yesPublicacions Matemàtiques, 2010
We introduce a many-variable version of the f-polynomial and h-polynomial associated to a finite simplicial complex. In this context the h-polynomial is actually a rational function. We establish connections with the l2-Euler characteristic of right-angled buildings.
openaire   +7 more sources

Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
H. Y. Lee   +3 more
doaj   +1 more source

New Characterization of Appell polynomials

open access: yes, 2016
We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples.
Bayad, Abdelmejid, Komatsu, Takao
core   +1 more source

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