Results 61 to 70 of about 1,563 (216)
Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
Advances in Difference Equations, 2020 Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim +4 more
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Известия Иркутского государственного университета: Серия "Математика", 2016 The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
, 2022 The aim of this paper is to give generating functions for parametrically generalized polynomials that are related to the combinatorial numbers, the Bernoulli polynomials and numbers, the Euler polynomials and numbers, the cosine-Bernoulli polynomials ...
Abdelmejid Bayad +3 more
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Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers [PDF]
The American Mathematical Monthly, 2014 13 pages, 2 diagrams, expository paper to appear in American Mathematical Monthly, mathematical improvements in section on symmetric numerical semigroups, LLL-diagram material added, many minor ...
openaire +2 more sources
Convolution theorems for hypergeometric Bernoulli numbers and polynomials [PDF]
, 2019 In this paper, we study hypergeometric Bernoulli numbers and polynomials and use recurrence relations to generate higher order convolution identities involving the sums of these Bernoulli numbers. We consider cases where the Bernoulli number ...
Ernst, Christopher R, Hassen, Abdul
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Polynomial‐shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, EarlyView.A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
wiley +1 more source
A note on Carlitz q-Bernoulli numbers and polynomials [PDF]
Advances in Difference Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Daeyeoul, Kim, Min-Soo
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New results on the q-generalized Bernoulli polynomials of level m [PDF]
, 2019 This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials B[m−1]n(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well ...
Vega, Samuel +3 more
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Journal of Animal Ecology, EarlyView.Using 18 years of data on eastern grey kangaroos, we show that drivers of individual reproductive success often do not scale up to population recruitment. Birth asynchrony could buffer population recruitment against environmental variability, such that variables affecting individual reproduction have little impact at the population level.
Rachel Bergeron +4 more
wiley +1 more source
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
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