Results 11 to 20 of about 166,064,113 (263)
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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A Few Finite Trigonometric Sums
Mathematics, 2017 Finite trigonometric sums occur in various branches of physics, mathematics, and their applications. These sums may contain various powers of one or more trigonometric functions. Sums with one trigonometric function are known; however, sums with products
Chandan Datta, Pankaj Agrawal
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A Note on Sums of Powers [PDF]
, 2007 We improve a result of Bennett concerning certain sequences involving sums of powers of positive ...
Gao, Peng
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Sums of Powers and Majorization [PDF]
, 2007 We study certain sequences involving sums of powers of positive integers and in connection with this, we give examples to show that power majorization does not imply ...
Gao, Peng
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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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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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Theory and Applications of Categories, 2001 Summary: In this paper we describe a deductive system for categories with finite products and coproducts, prove decidability of equality of morphisms via cut elimination, and prove a ``Whitman theorem'' for the free such categories over arbitrary base categories.
Cockett, J. R. B., Seely, R. A. G.
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Primitive free cubics with specified norm and trace [PDF]
, 2003 The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitrary specified values of a (≠0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby
Sophie Huczynska +5 more
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Julius Kruopis – the pioneer of applied statistics in Lithuania
Lithuanian Journal of Statistics, 2023 Julius Kruopis was born on 21.02.1941 in Utena district. In 1963 he graduated from Vilnius University, Faculty of Physics and Mathematics. In 1964–1966 he worked as a trainee lecturer at the Department of Probability Theory and Number Theory of the ...
Vilijandas Bagdonavičius +3 more
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Demonstratio Mathematica, 2022 In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
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