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5 papers · 1 filter
Umbral calculus associated with Bernoulli polynomials
Dae San Kim, Taekyun Kim
Recently, D. S. Kim and T. Kim have studied applications of um- bral calculus associated with p-adic invariant integrals on Zp (see [6]). In this paper, we investigate some interes…
Coulomb interaction signatures in self-assembled lateral quantum dot molecules
Xinran. Zhou, Jihoon. Lee, Gregory. J. Salamo +3
We use photoluminescence spectroscopy to investigate the ground state of single self-assembled InGaAs lateral quantum dot molecules. We apply a voltage along the growth direction t…
Some properties on the integral of the product of several Euler polynomials
Taekyun Kim
In this paper, we study the formulae for a product of two product Euler polynomials. From this study, we derive some formulae for the integral of the product of two or more Ruler p…
Some identities involving Gegenbauer polynomials
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
In this paper we derive some interesting identities arising from the orhtogonality of gegenbauer polynomials.
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
T. Kim
In this paper we consider non-linear differential equations which are closely related to the generating functions of Frobenius-Euler polynomials. From our non-linear differential e…