Form-factors of exponential fields in the sine-Gordon model [PDF]
, 1997 An integral representation for form-factors of exponential fields in the sine-Gordon model is proposed.Comment: 8 pages, harvmac.tex, added the formula (25) for two soliton form-factors at the reflectionless ...
Berg B. +3 more
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Convolutions involving the exponential function and the exponential integral [PDF]
Mathematica Moravica, 2015 The exponential integral ei(λx) and its associated functions ei+(λx) and ei-(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions.
Fisher Brian, Al-Sirehy Fatma
doaj
Statistical analysis of time-resolved emission from ensembles of semiconductor quantum dots: Interpretation of exponential decay models [PDF]
, 2006 We present a statistical analysis of time-resolved spontaneous emission decay curves from ensembles of emitters, such as semiconductor quantum dots, with the aim of interpreting ubiquitous non-single-exponential decay. Contrary to what is widely assumed,
Driel, A.F. van +5 more
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Mathematics, 2019 In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, JinRong Wang, Jialu Zhang
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Ural Mathematical Journal, 2022 With a possible connection to integrals used in General Relativity, we used our contour integral method to write a closed form solution for a quadruple integral involving exponential functions and logarithm of quotient radicals.
Robert Reynolds, Allan Stauffer
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Feynman--Kac formula for the heat equation driven by fractional noise with Hurst parameter $H<1/2$ [PDF]
, 2012 In this paper, a Feynman-Kac formula is established for stochastic partial differential equation driven by Gaussian noise which is, with respect to time, a fractional Brownian motion with Hurst parameter ...
Hu, Yaozhong, Lu, Fei, Nualart, David
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Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
Axioms, 2023 The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently ...
Asif Ali Shaikh +4 more
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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]
, 1996 We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
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Generalizations and applications of Young’s integral inequality by higher order derivatives
Journal of Inequalities and Applications, 2019 In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a
Jun-Qing Wang, Bai-Ni Guo, Feng Qi
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Exponential Convergence Bounds using Integral Quadratic Constraints
, 2015 The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements.
Boczar, Ross +2 more
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