Results 1 to 10 of about 7,519 (91)

A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications

open access: yesMathematics, 2022
In this paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using different ...
Noor Alam   +2 more
doaj   +1 more source

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

Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials

open access: yesAdvances in Difference Equations, 2020
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles   +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

On the type 2 poly-Bernoulli polynomials associated with umbral calculus

open access: yesOpen Mathematics, 2021
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
doaj   +1 more source

Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials [PDF]

open access: yes, 2013
In this paper, we consider higher-order Frobenius-Euler polynomi- als associated with poly-Bernoulli polynomials which are derived from polylogarithmic function.
Kim, Dae San, kim, Taekyun
core   +2 more sources

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

Matrix approach to Frobenius-Euler polynomials [PDF]

open access: yes, 2014
In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials.
Malonek, Helmuth Robert, Tomaz, Graça
core   +1 more source

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

open access: yesMathematics, 2023
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed   +2 more
doaj   +1 more source

Identities involving Laguerre polynomials derived from umbral calculus [PDF]

open access: yes, 2013
In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.Comment: 12 ...
Kim, Taekyun
core   +1 more source

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