Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj +1 more source
The Zeros of the Bergman Kernel for Some Reinhardt Domains
Journal of Function Spaces, 2016 We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ ...
Jong-Do Park
doaj +1 more source
Congruences concerning Bernoulli numbers and Bernoulli polynomials
Discrete Applied Mathematics, 2000 Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
openaire +1 more source
New integrals involving a function associated with Euler-Maclaurin summation formula [PDF]
Contributions to Mathematics, 2022 Robert Frontczak +2 more
doaj +1 more source
GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS
, 2014 We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
openaire +2 more sources
Application of the DTM to the Elastic Curve Equation in Euler–Bernoulli Beam Theory
MathematicsThis study demonstrates the effectiveness of the differential transform method (DTM) in solving complex solid mechanics problems, focusing on static analysis of beams under various loads and boundary conditions.
Adrian Ioan Botean
doaj +1 more source
Binomial sums about Bernoulli, Euler and Hermite polynomials [PDF]
Discrete Mathematics Letters, 2020 Xiaoyuan Wang, Wenchang Chu
doaj +1 more source
Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams
Shock and Vibration, 2011 Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements.
Ahmad Shahba +2 more
doaj +1 more source
An Explicit Formula for Restricted Partition Function through Bernoulli Polynomials
, 2004 Explicit expressions for restricted partition function $W(s,{\bf d}^m)$ and its quasiperiodic components $W_j(s,{\bf d}^m)$ (called Sylvester waves) for a set of positive integers ${\bf d}^m = \{d_1, d_2, ..., d_m\}$ are derived.
Rubinstein, Boris Y.
core
Improved Asymptotic Capacity Lower Bound for OFDM System with Compressed Sensing Channel Estimation for Bernoulli Gaussian Channel [PDF]
Radioengineering, 2016 We propose an improved capacity lower bound for OFDM system with compressed sensing channel estimation for Bernoulli-Gaussian channel. We improve the known capacity lower bound which is based on Lasso compressed sensing channel estimation, by replacing ...
S. Pejoski, V. Kafedziski
doaj