Results 11 to 20 of about 1,776,451 (338)
Functional Tetrahedron Equation [PDF]
Theoretical and Mathematical Physics, 1998 We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest the symmetries of a model in local form.
I. G. Korepanov +7 more
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On a Functional Equation [PDF]
Canadian Mathematical Bulletin, 1979 Let P stand for a polynomial set (p.s.), i.e., a sequence {P0(x), P1(x), P2(x),...} such that for each n P0(x) is a polynomial in x of exact degree n and P0(x)≠0. We refer to Pn(x) as the nth component of P.
Al-Salam, Nadhla A., Al-Salam, Waleed A.
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ON A FUNCTIONAL EQUATION [PDF]
The Quarterly Journal of Mathematics, 1958 We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2).The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies the ...
Chaundy, T. W., McLeod, J. B.
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A Functional Equation with Biadditive Functions
Annales Mathematicae Silesianae, 2022 Abstract Let S, H, X be groups. For two given biadditive functions A : S 2 → X, B : H 2 → X and for two unknown mappings T : S → H, g : S → S we will study the functional equation B(T (x), T (y)) = A(x, g(y)), x, y ∈ S, which is a ...
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Characterizations of generalized entropy functions by functional equations [PDF]
, 2010 We shall show that a two-parameter extended entropy function is characterized by a functional equation. As a corollary of this result, we obtain that the Tsallis entropy function is characterized by a functional equation, which is a different form used ...
Furuichi, Shigeru
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On a “square” functional equation [PDF]
Pacific Journal of Mathematics, 1974 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analytic embedding of pseudo-Helmholtz geometry [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]
, 2014 The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
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On Cauchy’s functional equation [PDF]
Proceedings of the American Mathematical Society, 1965 for real-valued functions of a real variable. P. Erdos [2] asked, after learning about a preliminary result of S. Hartman [3], whether one obtains all functions satisfying (C) for almost all pairs (x, y) by simply redefining the functions satisfying (C) for all (x, y) in an arbitrary manner on sets of measure zero.
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The Role of Riemann’s Zeta Function in Mathematics and Physics †,‡
Universe, 2019 In particular, Riemann’s impact on mathematics and physics alike is demonstrated using methods originating from the theory of numbers and from quantum electrodynamics, i.e., from the behavior of an electron in a prescribed external electromagnetic ...
Walter Dittrich
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