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pro vyhledávání: '"Kowalenko, Victor"'
Autor:
Kowalenko, Victor1 (AUTHOR) vkowa@unimelb.edu.au
Publikováno v:
Algorithms. Aug2024, Vol. 17 Issue 8, p373. 46p.
Autor:
da Fonseca Carlos M., Kowalenko Victor
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 14, Iss 1, Pp 61-74 (2022)
This paper aims to show how some standard general results can be used to uncover the spectral theory of tridiagonal and related matrices more elegantly and simply than existing approaches. As a typical example, we apply the theory to the special trid
Externí odkaz:
https://doaj.org/article/b1d3c10f1b154d9388777d0995982f0d
Autor:
Kowalenko, Victor
This announcement paper summarises recent development concerning the generalized cosecant numbers $c_{\rho,k}$, which represent the coefficients of the power series expansion for the important fundamental function $z^{\rho}/\sin^{\rho} z$. These coef
Externí odkaz:
http://arxiv.org/abs/1702.04090
We present a new and elegant integral approach to computing the Gardner-Fisher trigonometric power sum, which is given by $$ S_{m,v}=\left(\frac \pi{2m}\right)^{2v}\sum_{k=1}^{m-1}\cos^{-2v}\left(\frac{k\pi}{2m}\right)\, , $$ We present a new and ele
Externí odkaz:
http://arxiv.org/abs/1603.03700
Publikováno v:
Ramanujan J (2016)
We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivation of generating functions and to the number of the closed walks on a p
Externí odkaz:
http://arxiv.org/abs/1601.07839
Autor:
Kowalenko, Victor
In a recent paper [arXiv:1406.1320] Paris has made several comments concerning the author's recent work on the exactification of Stirling's approximation for the logarithm of the gamma function, $\ln \Gamma(z)$. Despite acknowledging that the calcula
Externí odkaz:
http://arxiv.org/abs/1408.1881
Autor:
Kowalenko, Victor
Exactification is the process of obtaining exact values of a function from its complete asymptotic expansion. Here Stirling's approximation for the logarithm of the gamma function or $\ln \Gamma(z)$ is derived completely whereby it is composed of the
Externí odkaz:
http://arxiv.org/abs/1404.2705
Autor:
Kowalenko, Victor
Recently, a novel method based on coding partitions [1]-[4] has been used to derive power series expansions to previously intractable problems. In this method the coefficients at $k$ are determined by summing the contributions made by each partition
Externí odkaz:
http://arxiv.org/abs/1203.4967
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2018 Apr 01. 12(1), 70-109.
Externí odkaz:
https://www.jstor.org/stable/90020605