Results 41 to 50 of about 140,035 (276)
Generating new classes of orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1996 Given a sequence of monic orthogonal polynomials (MOPS), {Pn}, with respect to a quasi-definite linear functional u, we find necessary and sufficient conditions on the parameters an and bn for the sequence Pn(x)+anPn−1(x)+bnPn−2(x), n≥1P0(x)=1,P−1(x ...
Amílcar Branquinho +1 more
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A new class of orthogonal polynomials for solving logarithmic singular integral equations
Ain Shams Engineering Journal, 2020 In this note, we propose a new class of orthogonal polynomials (named Bachok–Hasham polynomials H1nk(x)), which is an extension of the Chebyshev polynomials.
H. Alhawamda +3 more
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Multivariate Krawtchouk polynomials and composition birth and death processes
, 2016 This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review. The multivariate Krawtchouk polynomials are symmetric functions of orthogonal sets of functions defined ...
Griffiths, Robert
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Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Remarks on orthogonal polynomials with respect to varying measures and related problems
International Journal of Mathematics and Mathematical Sciences, 1993 We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
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Multiplex Modular Nanorobotic Systems with Catalytic Activity under Magnetic Navigation
Advanced Functional Materials, EarlyView.We present modular nanorobots composed of a magnetic propulsion module and different extension modules carrying functional activities, assembled via DNA base pairing. The system integrates propulsion, optical tracking, enzymatic catalysis, and cell docking in a programmable manner.
Voichita Mihali +7 more
wiley +1 more source
New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials
Mathematics, 2020 A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza +2 more
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Orthogonal Polynomials in Mathematical Physics
, 2017 This is a review of ($q$-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory.
Chan, Chuan-Tsung +3 more
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