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- S. M. Abrarov, Brendan M. Quine, Rajinder K. Jagpal
- Computer Physics Communications
- 2010

- S. M. Abrarov, Brendan M. Quine
- Applied Mathematics and Computation
- 2011

- S. M. Abrarov, Brendan M. Quine
- Applied Mathematics and Computation
- 2015

Abstract. We obtained the formulas for the quantities of positive, negative and zero values of the Möbius function for any real x in terms of the Möbius function values for square root of x – similar to the identities we found earlier for the Mertens function [1]. Using the Dirac delta function approach [3, 2] we propose the equations showing how the… (More)

Due to strong absorption of the incident light, the media with high refractive index are considered restrictive for applications in photonic crystals (PhCs). The possibility to resolve this problem by optical saturation effectively minimizing the absorption of the PhC medium is discussed. Such approach might be promising for the significant broadening of… (More)

- S. M. Abrarov, Brendan M. Quine
- ArXiv
- 2012

In our recent publication [1] we presented an exponential series approximation suitable for highly accurate computation of the complex error function in a rapid algorithm. In this Short Communication we describe how a simplified representation of the proposed complex error function approximation makes possible further algorithmic optimization resulting in a… (More)

- S. M. Abrarov
- 2016

In our recent publications we have introduced the incomplete cosine expansion of the sinc function for efficient application in sampling [Abrarov & Quine, Appl. Math. Comput., 258 (2015) 425-435; Abrarov & Quine, J. Math. Research, 7 (2) (2015) 163-174]. Here we show that it can also be utilized as a flexible and efficient tool in mathematical analysis. In… (More)

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