Search Results - "Vidanović, Mirjana V."
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On the summation of Schlömilch's series
Published in Integral transforms and special functions (03-05-2020)“…Schlömilch's series is named after the German mathematician Oscar Xavier Schlömilch, who derived it in 1857 as a Fourier series type expansion in terms of the…”
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On trigonometric series over integrals involving Bessel or Struve functions
Published in Integral transforms and special functions (01-11-2009)“…To find formulas for the summation of trigonometric series over integrals involving Bessel or Struve functions, we rely on trigonometric series involving…”
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3
On the summation of trigonometric series
Published in Integral transforms and special functions (01-06-2008)“…We deal with the series and express it as a power series in terms of Riemann's ζ or Catalan's β function or Dirichlet functions η and λ. Also, closed form…”
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Series involving the product of a trigonometric integral and a trigonometric function
Published in Integral transforms and special functions (01-10-2007)“…This paper is concerned with the summation of series (1). To find the sum of the series (1) we first derive formulas for the summation of series whose general…”
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5
On the summation of series over a product of Bessel functions
Published in Integral transforms and special functions (01-10-2006)“…In this article, we deal with summation formulas for the series (3) , referring partly to some results from our article [Stanković, M.S., Vidanović, M.V. and…”
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Closed form expressions for some series over certain trigonometric integrals
Published in Applicable analysis (01-12-2001)“…The series (3) and (4), where T(x) denotes trigonometric integrals (2), are represented as series in terms of Riemann zeta and related functions using the sums…”
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On the Summation of Series Involving Bessel or Struve Functions
Published in Journal of mathematical analysis and applications (01-07-2000)“…The subject called “summation of series” can be viewed in two different ways. From one point of view, it means numerical summation which involves acceleration…”
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Journal Article -
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Series over the product of bessel and trigonometric functions
Published in Integral transforms and special functions (01-06-2001)“…This paper is a contribution to the mathematics of Bessel series which is used extensively in engineering. The sums of series (1) and (2) are found by…”
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Sumiranje Redova Sa Specijalnim Funkcijama
Published 01-01-2003“…Disertacija se bavi sumiranjem redova sa specijalnim funkcijama. Ovi redovi se posredstvom trigonometrijskih redova svode na redove sa Riemannovom zeta…”
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Dissertation