Results 21 to 30 of about 66,689 (211)
Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances 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
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Identities involving Laguerre polynomials derived from umbral calculus [PDF]
, 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
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Roots of the Euler polynomials [PDF]
Pacific Journal of Mathematics, 1976 In this paper we prove some new theorems about the real and complex roots of the Euler polynomials. For each n we show how the real roots of En(x) are distributed in the closed interval [1, 3]. We also show how the real roots of En(x) are distributed in the arbitrary interval [m, m + 1] for n sufficiently large.
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Microreversibility, nonequilibrium response, and Euler’s polynomials [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 10 ...
M Barbier, P Gaspard
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Representation by degenerate Frobenius–Euler polynomials
Georgian Mathematical Journal, 2022 Abstract The aim of this paper is to represent any polynomial in terms of degenerate Frobenius–Euler polynomials and, more generally, of higher-order degenerate Frobenius–Euler polynomials. Explicit formulas with the help of umbral calculus are derived and the obtained results are illustrated by some examples.
Kim, Taekyun, Kim, Dae San
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Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]
, 2013 In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet +2 more
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On the type 2 poly-Bernoulli polynomials associated with umbral calculus
Open 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
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Explicit Formulas involving q-Euler Numbers and Polynomials [PDF]
, 2012 In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator.
Acikgoz, Mehmet +2 more
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Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang +2 more
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Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences [PDF]
The Electronic Journal of Combinatorics, 1999 Let $P_n$ and $Q_n$ be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomials we develop relations among their values, which are then applied to various numerical sequences which occur as values of the $P_n$ and $Q_n$.
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