Results 21 to 30 of about 2,557 (239)
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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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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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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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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THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2009 AbstractWe consider in this paper the question of when the finite sum of products of two Toeplitz operators is a finite-rank perturbation of a single Toeplitz operator on the Hardy space over the unit disk. A necessary condition is found. As a consequence we obtain a necessary and sufficient condition for the product of three Toeplitz operators to be a
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On Some Formulas for the Lauricella Function
Mathematics, 2023 Lauricella, G. in 1893 defined four multidimensional hypergeometric functions FA, FB, FC and FD. These functions depended on three variables but were later generalized to many variables.
Ainur Ryskan, Tuhtasin Ergashev
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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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The large N limit of SU(N) integrals in lattice models
Nuclear Physics B, 2020 The standard U(N) and SU(N) integrals are calculated in the large N limit. Our main finding is that for an important class of integrals this limit is different for two groups. We describe the critical behaviour of SU(N) models and discuss implications of
O. Borisenko, V. Chelnokov, S. Voloshyn
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An improved sum-product estimate for general finite fields [PDF]
SIAM Journal on Discrete Mathematics, 2011 An improved sum-product estimate for subsets of a finite field whose order is not prime is provided. It is shown, under certain conditions, that max{|A+A|,|A·A|}≫|A|12/11(log2|A|)5/11. This new estimate matches, up to a logarithmic factor, the current best known bound obtained over prime fields by Rudnev.
Liangpan Li, Oliver Roche-Newton
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