Results 11 to 20 of about 137,192 (245)
Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials
Mathematics, 2020 In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim +3 more
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Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Representation by Chebyshev Polynomials for Sums of Finite Products of Chebyshev Polynomials [PDF]
Symmetry, 2018 In this paper, we consider sums of finite products of Chebyshev polynomials of the first, third, and fourth kinds, which are different from the previously-studied ones. We represent each of them as linear combinations of Chebyshev polynomials of all kinds whose coefficients involve some terminating hypergeometric functions 2 F 1 .
Taekyun Kim +3 more
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Finite rank sums of products of Toeplitz and Hankel operators
Journal of Mathematical Analysis and Applications, 2013 AbstractOn the Dirichlet space of the unit disk, we consider operators which are finite sums of Toeplitz products, Hankel products or products of Toeplitz and Hankel operators. We then give characterizations of when such operators have finite rank on the Dirichlet space.
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Finite sums of Toeplitz products on the Dirichlet space
Journal of Mathematical Analysis and Applications, 2009 The paper deals with a class of operators on the Dirichlet space of the unit disk which contain finite sums of products of two Toeplitz operators with harmonic symbols. The author presents characterizations for these operators to be zero and compact, and provides an answer to the ``zero-product'' problem for products of finitely many Toeplitz operators
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The Equivalence of the Charge Interaction Sum and the Ionic Strength
Chemical Thermodynamics and Thermal Analysis, 2022 The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, zizj, yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to ...
Leslie Glasser
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Axioms, 2023 In this paper, first derivatives of the Whittaker function Mκ,μx are calculated with respect to the parameters. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma ...
Alexander Apelblat +1 more
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New reciprocal sums involving finite products of second order recursions [PDF]
Miskolc Mathematical Notes, 2019 In this paper, we present new kinds of reciprocal sums of finite products of general second order linear recurrences. In order to evaluate explicitly them by $q$-calculus, first we convert them into their $q$-notation and then use the methods of partial fraction decomposition and creative telescoping.
Kilic, Emrah, Ersanli, Didem
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Mathematics, 2018 In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of
Taekyun Kim +3 more
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N-point and higher-genus osp(1|2) fusion [PDF]
, 2002 We study affine osp(1|2) fusion, the fusion in osp(1|2) conformal field theory, for example. Higher-point and higher-genus fusion is discussed. The fusion multiplicities are characterized as discretized volumes of certain convex polytopes, and are ...
Rasmussen, Jorgen
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