نتایج جستجو برای: kravchuk and charlier polynomials
تعداد نتایج: 16837124 فیلتر نتایج به سال:
The main goal of the present paper is to construct some families of the Carlitz's $q$-Bernoulli polynomials and numbers. We firstly introduce the modified Carlitz's $q$-Bernoulli polynomials and numbers with weight ($_{p}$. We then define the modified degenerate Carlitz's $q$-Bernoulli polynomials and numbers with weight ($alpha ,beta $) and obtain some recurrence relations and other identities...
In this paper we answer two recent questions from Charlier et al. (2014) and Harju (2013) about self-shuffling words. An infinite word w is called self-shuffling, if w = ∏∞ i=0 UiVi = ∏∞ i=0 Ui = ∏∞ i=0 Vi for some finite words Ui, Vi. Harju recently asked whether square-free self-shuffling words exist. We answer this question affirmatively. Besides that, we build an infinite word such that no ...
in this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. the method was based on orthogonal polynomial approximation. this method consists of reducing the optimal control problem to a system of algebraic equations by expanding the state and control vector as chebyshev or legendre polynomials with undetermined...
in this paper we demonstrate the existence of a set of polynomials pi , 1 i n , which arepositive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in thelagrange interpolation process. in other words, if a a1 an b is a given finite sequence of realnumbers, then pi (a j ) ij (ij is the kronecker delta symbol ) ; moreover, the sum of ...
Volodymyr P. Kravchuk,1,2,* Denis D. Sheka,3,† Ulrich K. Rößler,2,‡ Jeroen van den Brink,2,4,§ and Yuri Gaididei1,‖ 1Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine 2Leibniz-Institut für Festkörperund Werkstoffforschung, IFW Dresden, 01171 Dresden, Germany 3Department of Mathematics and Theoretical Radio Physics, Faculty of Radio Physic...
Volodymyr P. Kravchuk,1,* Denis D. Sheka,2 Robert Streubel,3,4 Denys Makarov,3 Oliver G. Schmidt,3,4 and Yuri Gaididei1 1Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine 2Taras Shevchenko National University of Kiev, 01601 Kiev, Ukraine 3Institute for Integrative Nanosciences, IFW Dresden, 01069 Dresden, Germany 4Material Systems for Nanoelectronics, Chemnitz University of Tech...
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