Results 1 to 10 of about 2,569 (239)
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 +3 more
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Sums of finite products of Legendre and Laguerre polynomials [PDF]
Advances in Difference Equations, 2018 In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them.
Taekyun Kim +3 more
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Sums of finite products of Bernoulli functions [PDF]
Advances in Difference Equations, 2017 In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.
Ravi P Agarwal +3 more
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Sums of finite products of Genocchi functions
Advances in Difference Equations, 2017 In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim +3 more
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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 .
Lee-Chae Jang, Taekyun Kim, D S Kim
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Sums of finite products of Chebyshev polynomials of the third and fourth kinds
Advances in Difference Equations, 2018 In this paper, we study sums of finite products of Chebyshev polynomials of the third and fourth kinds and obtain Fourier series expansions of functions associated with them. Then from these Fourier series expansions we will be able to express those sums
Taekyun Kim +3 more
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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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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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