Results 31 to 40 of about 2,037 (242)
Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
doaj +1 more source
On the zero attractor of the Euler polynomials
34 pages, 6 ...
Robert P. Boyer, William M. Y. Goh
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Ordinary and degenerate Euler numbers and polynomials
In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
doaj +1 more source
Euler polynomials for the matrix exponential approximation
Acknowledgements This work has been partially supported by Spanish Ministerio de Ciencia e Innovaci?n (Project PID2020-113656RB-C22) supported by MCIN/AEI/10.13039/501100011033 and by the Vicerrectorado de Investigaci?n de la Universitat Polit?cnica de Val?ncia (PAID-11-21).
José M. Alonso +3 more
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Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Navas, L.M. [0000-0002-5742-8679] +5 more
core +1 more source
On the type 2 poly-Bernoulli polynomials associated with umbral calculus
Type 2 poly-Bernoulli polynomials were introduced recently with the help of modified polyexponential functions. In this paper, we investigate several properties and identities associated with those polynomials arising from umbral calculus techniques.
Kim Taekyun +3 more
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Umbral calculus and Euler polynomials
In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related to special polynomials (see[6]).
Dae San Kim +3 more
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Truncated-exponential-based Frobenius–Euler polynomials [PDF]
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wani, Shahid Ahmad +5 more
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Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
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
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Generalized -Euler Numbers and Polynomials [PDF]
We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.
Lee, Hui Young +2 more
openaire +2 more sources

