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Bernoulli polynomials

Known as: Euler polynomials, Bernoulli polynomial, Euler polynomial 
In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz… 
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Related topics

Related topics

14 relations
Appell sequenceEuler–Maclaurin formulaFaulhaber's formulaHandbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2007
Highly Cited
2007
Symmetry p-adic invariant integral on ℤ p for Bernoulli and Euler polynomials
The main purpose of this paper is to investigate several further interesting properties of symmetry for the p-adic invariant… 
Highly Cited
2005
Highly Cited
2005
A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Part IV: from Bernoulli Shift to 1/F Spectrum
By exploiting the new concepts of CA characteristic functions and their associated attractor time-τ maps, a complete… 
2005
2005
Exploring the multiple Changhee q-Bernoulli polynomials
In this article, we will discuss the behaviour of the roots of the multiple Changhee q-Bernoulli polynomials for values of the… 
Highly Cited
1999
Highly Cited
1999
Log-domain filtering and the Bernoulli cell
In this paper, the dynamic behavior of a nonlinear circuit element termed a Bernoulli cell is described, which is composed of a… 
Highly Cited
1998
Highly Cited
1998
Ergodic properties of the Erdös measure, the entropy of the goldenshift, and related problems
AbstractWe define a two-sided analog of the Erdös measure on the space of two-sided expansions with respect to the powers of the… 
1996
1996
A Note on Bernoulli Numbers and Shintani Generalized Bernoulli Polynomials
Generalized Bernoulli polynomials were introduced by Shintani in 1976 in order to express the special values at non-positive… 
1996
1996
Intelligent video smoother for multimedia communications
Multimedia communications often require intra-media synchronization for video data to prevent potential playout discontinuity… 
Highly Cited
1986
Highly Cited
1986
Average Delay Approximation of M/G/1 Cyclic Service Queues with Bernoulli Schedules
  • L. Servi
  • IEEE J. Sel. Areas Commun.
  • 1986
  • Corpus ID: 35543723
The Laplace Transform (and the first two moments) of the busy period of the recently introduced M/G/1 vacation model with a… 
Highly Cited
1983
Highly Cited
1983
Maximum-Likelihood Seismic Deconvolution
The purpose of this paper is to describe a broad spectrum of seismic deconvolution problems and solutions which we refer to… 
Highly Cited
1973
Highly Cited
1973
Point processes of seasonal thunderstorm rainfall: 1. Distribution of rainfall events
The hot rainy season marked by local scattered thunderstorms from June to September is typical of most of the lower elevations of… 
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