Results 21 to 30 of about 137,192 (245)
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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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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Sum and Shifted-Product Subsets of Product-Sets over Finite Rings [PDF]
The Electronic Journal of Combinatorics, 2012 For sufficiently large subsets $\mathcal{A}, \mathcal{B}, \mathcal{C}, \mathcal{D}$ of $\mathbb{F}_q$, Gyarmati and Sárközy (2008) showed the solvability of the equations $a + b= c d$ and $a b + 1 = c d$ with $a \in \mathcal{A}$, $b \in\mathcal{B}$, $c \in \mathcal{C}$, $d \in \mathcal{D}$.
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Analytic Continuation of Mellin Transforms up to two-loop Order [PDF]
, 2000 The analytic continuation of the Mellin transforms to complex values of N for the basic functions $g_i(x)$ of the momentum fraction x emerging in the quantities of massless QED and QCD up to two-loop order, as the unpolarized and polarized splitting ...
Abramowitz +32 more
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Sums of finite products of Pell polynomials in terms of hypergeometric functions [PDF]
Journal of the Egyptian Mathematical Society, 2022 AbstractIn this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.
Asim Patra, Gopal Krishna Panda
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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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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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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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Mathematics, 2018 In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds.
Taekyun Kim +3 more
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