Results 81 to 90 of about 726,471 (254)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
Generalized mixed type Bernoulli-Gegenbauer polynomials [PDF]
, 2023 The generalized mixed type Bernoulli-Gegenbauer polynomials of order (infinite) > 1/2 are special polynomials obtained by use of the generating function method.
Quintana, Yamilet
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Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Mathematics, 2018 In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He +3 more
doaj +1 more source
, 2020 We derive an explicit formula for the Bernoulli polynomials in terms of the Stirling numbers of the second kind valid for all non-negative real arguments.
Sumit Kumar Jha
semanticscholar +1 more source
Determinantal Expressions for Bernoulli Polynomials
Integers, 2019 See the abstract in the attached pdf.
openaire +4 more sources
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
Addiction, Volume 120, Issue 4, Page 745-755, April 2025.Abstract Aims The aim of this study was to identify longitudinal trajectories of medication for opioid use disorder (MOUD) use throughout 1 year following MOUD initiation and to examine the association of trajectory membership with HIV testing among people who inject drugs in India.
Allison M. McFall +8 more
wiley +1 more source
Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications
Advances in Difference Equations, 2020 Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials,
Ugur Duran, Mehmet Acikgoz, Serkan Araci
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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q-Bernoulli numbers and polynomials
Duke Mathematical Journal, 1948 Verf. definiert die \(q\)-Bernoullischen Zahlen \(\beta_m\) durch \(\beta_0=1\), \(\beta_1=-1/(q+1)\) und die symboli\-sche Rekursionsformel \(q(q\beta+1)^m=0\) \((m>1)\), wobei \(\beta^i\) nach Entwicklung durch \(\beta_i\) zu ersetzen ist. Die Zahlen \(\beta_m\) stimmen für \(q=1\) mit den gewöhnlichen Bernoullischen Zahlen überein.
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