Results 21 to 30 of about 46,179 (201)

Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]

open access: yes, 2002
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Luo, Qiu-Ming, Qi, Feng
core   +2 more sources

Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers

open access: yesAxioms, 2022
In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin   +2 more
doaj   +2 more sources

Generalized -Euler Numbers and Polynomials [PDF]

open access: yesISRN Applied Mathematics, 2012
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

A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials

open access: yesJournal of Mathematics, 2023
Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim   +3 more
doaj   +1 more source

On generalized Lucas polynomials and Euler numbers [PDF]

open access: yesMiskolc Mathematical Notes, 2010
In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
openaire   +2 more sources

Apostol type (p, q): Frobenius-Euler polynomials and numbers [PDF]

open access: yesKragujevac Journal of Mathematics, 2018
Summary: In the present paper, we introduce \((p,q)\)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on.
Duran, Ugur, Acikgoz, Mehmet
openaire   +5 more sources

Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable

open access: yesJournal of Function Spaces, 2021
In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of
Ghulam Muhiuddin   +2 more
doaj   +1 more source

Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions

open access: yesApplied Mathematics in Science and Engineering, 2023
Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Lingling Luo   +3 more
doaj   +1 more source

Note on q-extensions of Euler numbers and polynomials of higher order [PDF]

open access: yes, 2007
In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$.
Jang, Leechae   +2 more
core   +2 more sources

Bernoulli F-polynomials and Fibo–Bernoulli matrices

open access: yesAdvances in Difference Equations, 2019
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj   +1 more source

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