Results 71 to 80 of about 33,296 (252)
Context-Free Grammars for Several Triangular Arrays
Axioms, 2022 In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
doaj +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song +4 more
wiley +1 more source
Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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On 2-variable q-Hermite polynomials
AIMS Mathematics, 2021 The quantum calculus has emerged as a connection between mathematics and physics. It has wide applications, particularly in quantum mechanics, analytic number theory, combinatorial analysis, operation theory etc.
Nusrat Raza +3 more
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Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type
AIMS MathematicsIn this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by $ \mathcal{W}^{(\alpha)}_{n, \lambda}(\delta, \zeta; \rho; \mu) $.
Ugur Duran +3 more
doaj +1 more source
Finite sums and generalized forms of Bernoulli polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1999 We introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation
G. Dattoli, S. Lorenzutta, C. Cesarano
doaj
Evaluation of post‐tensioned reinforced and fiber reinforced concrete beams by using DOFS
Structural Concrete, EarlyView.Abstract Prestressed concrete provides several advantages over traditional reinforced concrete; however, some markets remain skeptical about the use of post‐tensioned structures. A crucial factor in these structures is assessing and quantifying the final force introduced into the element.
Ignasi Fernandez +3 more
wiley +1 more source
Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
core +1 more source
On a class of Humbert-Hermite polynomials
Novi Sad Journal of Mathematics, 2019 A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević , Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called ’named’ polynomials ...
Pathan, M. A., Khan, Waseem
openaire +3 more sources