نتایج جستجو برای: kravchuk and charlier polynomials

تعداد نتایج: 16837124  

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...

Journal: :Journal of Physics A: Mathematical and General 2000

Journal: :The Annals of Mathematical Statistics 1943

Journal: :Electr. J. Comb. 2015
Mike Müller Svetlana Puzynina Michaël Rao

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 ...

Journal: :international journal of advanced design and manufacturing technology 0
sedigheh shahmirzaee jeshvaghany department of mechanical and aerospace engineering, science and research branch, islamic azad university, tehran, iran farshad pazooki department of mechanical and aerospace engineering, science and research branch, islamic azad university, tehran, iran. alireza basohbat novinzaddeh department of aerospace engineering, k.n.toosi university of technology, tehran, iran

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...

Journal: :iranian journal of science and technology (sciences) 2008
s. m. m. zekavat

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 ...

Journal: :Computer Science and Application 2017

2018
Volodymyr P. Kravchuk Denis D. Sheka Ulrich K. Rößler Jeroen van den Brink Yuri Gaididei Taras Shevchenko

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...

2012
Volodymyr P. Kravchuk Denis D. Sheka Robert Streubel Denys Makarov Oliver G. Schmidt Yuri Gaididei

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...

Journal: :Proceedings of the American Mathematical Society 1969

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