Functional differential equations for theq-Fourier transform ofq-Gaussians
نویسندگان
چکیده
منابع مشابه
Functional-differential equations for the q-Fourier transform of q-Gaussians
In the paper the question Is the q-Fourier transform of a qGaussian a q ′ -Gaussian (with some q ′ ) up to a constant factor? is studied for the whole range of q ∈ (−∞, 3). This question is connected with applicability of the q-Fourier transform in the study of limit processes in nonextensive statistical mechanics. We prove that the answer is affirmative if and only if q ≥ 1, excluding two part...
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In the paper the question is a q-Fourier transform of a q-Gaussian a q ′ -Gaussian (with some q ′ ) up to a constant factor is analyzed for the whole range of q ∈ (−∞, 3). This question is connected with applicability of Fq-transform in the study of limit processes in nonextensive statistical mechanics. We derive some functional-differential equations for the q-Fourier transform of q-Gaussians....
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2010
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/43/9/095202