Multiple zeta values and iterated log-sine integrals [PDF]
We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-sine integrals. We also give a new method for obtaining relations among multiple zeta values, which uses iterated log-sine integrals, and give alternative proofs of several ...
arxiv
The bead process for beta ensembles. [PDF]
Najnudel J, Virág B.
europepmc +1 more source
‘ON THE POSITIVITY OF RIEMANN–STIELTJES INTEGRALS’ [PDF]
Jani Lukkarinen, Mikko S. Pakkanen
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A Henstock-Kurzweil type integral on 1 dimensional integral currents [PDF]
We define a non-absolutely convergent integration on integral currents of dimension 1 in Euclidean space. This integral is closely related to the Henstock-Kurzweil and Pfeffer Integrals. Using it, we prove a generalized Fundamental Theorem of Calculus on these currents.
arxiv
Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals [PDF]
Haidong Liu, Cui‐Qin Ma
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Oscillation Criteria of Even Order Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals [PDF]
Haidong Liu, Cui‐Qin Ma
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A duality theorem by means of Riemann Stieltjes integral
Duality between the space of continuous functions and the space of bounded variations functions can be easily characterized by means of Riemann-Stieltjes integrals when we consider real valued functions defined, e.g., on [0,1]; here we give a self ...
Ottavio Caligaris, Pietro Oliva
doaj
New Inversion Formulae for the Widder–Lambert and Stieltjes–Poisson Transforms
This paper establishes explicit inversion formulae for the Widder–Lambert transform and the Stieltjes–Poisson transform, extending their applicability to function spaces and compactly supported distributions.
Emilio R. Negrín, Jeetendrasingh Maan
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Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral [PDF]
Yuangong Sun, Taher S. Hassan
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Block-pulse integrodifference equations. [PDF]
Gilbertson NM, Kot M.
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