Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj
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DOI: 10.1002/mma.10217
Abstract: Recently, the authors constructed operators acting on a space of functions defined on [0,∞)$$ \left[0,\infty \right) $$ and preserving 1 and xj$$ {x}^j $$ for a given j∈ℕ$$ j\in \mathrm{\mathbb{N}} $$ . To this end,… read more here.
Keywords: gamma post; variants gamma; post widder; expansions variants ... See more keywords
Three-loop contributions to b → sγ associated with the current-current operators
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DOI: 10.1007/jhep11(2024)058
Abstract: In a recent work, we calculated all three-loop diagrams contributing to the decay amplitude for b → sγ where none of the gluons touch the b-leg. In the present paper, we complete the calculation by… read more here.
Keywords: current current; current operators; associated current; three loop ... See more keywords
Asymptotic expansions of the prime counting function
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DOI: 10.1016/j.jnt.2021.07.032
Abstract: We provide several asymptotic expansions of the prime counting function $\pi(x)$ and related functions. We define an {\it asymptotic continued fraction expansion} of a complex-valued function of a real or complex variable to be a… read more here.
Keywords: asymptotic expansions; continued fraction; prime counting; expansions prime ... See more keywords
Asymptotic expansions and scaling of turbulent boundary layers in adverse pressure gradients
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DOI: 10.1063/5.0210872
Abstract: This paper presents an outer velocity scale and an inner scaling law of Reynolds shear stresses that are valid for the entire adverse pressure gradient (APG) region before separation, based on asymptotic expansions in turbulent… read more here.
Keywords: velocity scale; asymptotic expansions; adverse pressure; region ... See more keywords
Asymptotic expansions of density of normalized extremes from logarithmic general error distribution
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DOI: 10.1080/03610926.2015.1062109
Abstract: ABSTRACT Logarithmic general error distribution is an extension of the log-normal distribution. In this paper, the asymptotic expansions of densities of normalized maximum from logarithmic general error distribution are derived under two different kinds of… read more here.
Keywords: asymptotic expansions; logarithmic general; general error; error distribution ... See more keywords
Asymptotic expansions for field moments of bound states
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd310
Abstract: Asymptotic expansions are presented for the moments of bound states in one-dimensional anharmonic potentials. The results are derived by using the stable aggregate of flexible element (SAFE) method and include only the first non-zero wave-related… read more here.
Keywords: bound states; field moments; moments bound; asymptotic expansions ... See more keywords
Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I
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DOI: 10.1090/tran/7740
Abstract: In this paper we engage in a general study of the asymptotic expansion of the Witten–Reshetikhin–Turaev invariants of mapping tori of surface mapping class group elements. We use the geometric construction of the Witten–Reshetikhin–Turaev topological… read more here.
Keywords: reshetikhin turaev; asymptotic expansions; mapping tori; turaev invariants ... See more keywords
On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings
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DOI: 10.1142/s0129167x17500963
Abstract: We give presentations of the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. As the volume conjecture states, the leading terms of the expansions present the hyperbolic volume and the Chern–Simons… read more here.
Keywords: expansions kashaev; invariant hyperbolic; asymptotic expansions; kashaev invariant ... See more keywords