Results 11 to 20 of about 2,557 (239)
Sums of finite products of Legendre and Laguerre polynomials [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim +2 more
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Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we can express those
Taekyun Kim +2 more
exaly +4 more sources
Sums of finite products of Bernoulli functions [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ravi P Agarwal +3 more
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Sums of finite products of Genocchi functions
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, Dae Kim, Dmitry V Dolgy
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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
exaly +2 more sources
Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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The Sum and Product of Finite Sequences of Complex Numbers [PDF]
Formalized Mathematics, 2010 The Sum and Product of Finite Sequences of Complex Numbers This article extends the [10]. We define the sum and the product of the sequence of complex numbers, and formalize these theorems. Our method refers to the [11].
Miyajima, Keiichi, Kato, Takahiro
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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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Bounds on Moments of Weighted Sums of Finite Riesz Products [PDF]
Journal of Fourier Analysis and Applications, 2020 Let $n_j$ be a lacunary sequence of integers, such that $n_{j+1}/n_j\geq r$. We are interested in linear combinations of the sequence of finite Riesz products $\prod_{j=1}^N(1+\cos(n_j t))$. We prove that, whenever the Riesz products are normalized in $L^p$ norm ($p\geq 1$) and when $r$ is large enough, the $L^p$ norm of such a linear combination is ...
Bonami, Aline +3 more
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