Results 21 to 30 of about 726,471 (254)
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core +6 more sources
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +2 more sources
Advances in Difference Equations, 2020 In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang +3 more
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Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials [PDF]
Fractal and Fractional, 2021 We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivative was considered in the Caputo sense, while the Riemann–Liouville integral
S. Nemati, P. Lima, Delfim F. M. Torres
semanticscholar +1 more source
DENOMINATORS OF BERNOULLI POLYNOMIALS [PDF]
Mathematika, 2018 For a positive integer $n$ let $\mathfrak{P}_n=\prod_{s_p(n)\ge p} p,$ where $p$ runs over all primes and $s_p(n)$ is the sum of the base $p$ digits of $n$. For all $n$ we prove that $\mathfrak{P}_n$ is divisible by all "small" primes with at most one exception.
Bordellès, O. +3 more
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An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2023 Recently, modeling problems in various field of sciences and engineering with the help of fractional calculus has been welcomed by researchers. One of these interesting models is a brain tumor model.
Iman Masti, K. Sayevand, Hossein Jafari
semanticscholar +1 more source
Values of Bernoulli polynomials [PDF]
Pacific Journal of Mathematics, 1996 The main objective of this paper is to derive a formula for the expression \(B_{p-1} (a/q)- B_{p- 1}\bmod p\). Here, \(p\) is an odd prime, \(q\) and \(a\) are relatively prime integers, \(1\leq a\leq q\), and \(p\) does not divide \(q\). \(B_n\) means the Bernoulli number and \(B_n (t)\) the \(n\)th Bernoulli polynomial.
Granville, Andrew, Sun, Zhi-Wei
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Electronic Research Archive, 2023 In the paper, the authors simply review recent results of inequalities, monotonicity, signs of determinants, determinantal formulas, closed-form expressions, and identities of the Bernoulli numbers and polynomials, establish an identity involving the ...
Jian Cao, J. López-Bonilla, Feng Qi
semanticscholar +1 more source
Axioms, 2022 In this paper, we introduce and investigate new subclasses of bi-univalent functions with respect to the symmetric points in U=z∈C ...
M. Buyankara +2 more
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Bell-Based Bernoulli Polynomials with Applications
Axioms, 2021 In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
U. Duran, S. Araci, M. Açıkgöz
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