Results 21 to 30 of about 8,944,209 (378)
AbstractWe wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages. It appears that the corresponding measure is just Gaussian in times, which are all independent.
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Schwinger-Dyson approach to Liouville Field Theory [PDF]
We discuss Liouville field theory in the framework of Schwinger-Dyson approach and derive a functional equation for the three-point structure constant.
Dutta, Parikshit
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Approximation of involution in multi-Banach algebras: Fixed point technique
In this research work, we demonstrate the Hyers-Ulam stability for Cauchy-Jensen functional equation in multi-Banach algebras by the fixed point technique. In fact, we prove that for a function which is approximately Cauchy-Jensen in multi Banach algebra,
Ehsan Movahednia+2 more
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Riemann zeta fractional derivative—functional equation and link with primes
This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The functional equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces ...
E. Guariglia
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Axiomatic Characterizations of Information Measures
Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (
Imre Csiszár
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The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation.
Yang-Hi Lee
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Characterizations of generalized entropy functions by functional equations [PDF]
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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The Role of Riemann’s Zeta Function in Mathematics and Physics †,‡
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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Analytic Embedding of Geometries of Constant Curvature on a Pseudosphere [PDF]
In mathematical studies, the geometries of maximum mobility are important. Examples of such geometries are Euclidean, pseudo-Euclidean, Lobachevsky, symplectic and so on. There is no complete classification of such geometries.
Vladimir A. Kyrov
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On a Functional Equation [PDF]
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.
Nadhla A. Al-Salam, Waleed A. Al-Salam
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