V. V. Gotsulenko, “A formula for the number of combinations with constrained repetitions and its application”, Prikl. Diskr. Mat., 2013, no. 2(20), 71

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Prikladnaya Diskretnaya Matematika, 2013, Number 2(20), Pages 71–77 (Mi pdm409)

This article is cited in 2 scientific papers (total in 2 papers)

Computational Methods in Discrete Mathematics

A formula for the number of combinations with constrained repetitions and its application

V. V. Gotsulenko

Institute for Technical Thermal Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine

Full-text PDF (519 kB) Citations (2)

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Abstract: Various generalizations of the concept of combination with repetitions are obtained. Formulas for the calculation of the considered combinatorial numbers are found, and various problems that are solved with their application are considered.

Keywords: combinations with constrained repetitions, Diophantine equations, formal polynomial, generating functions, multisets.

Document Type: Article

UDC: 519.1

Language: Russian

Citation: V. V. Gotsulenko, “A formula for the number of combinations with constrained repetitions and its application”, Prikl. Diskr. Mat., 2013, no. 2(20), 71–77

Citation in format AMSBIB

\Bibitem{Got13}

\by V.~V.~Gotsulenko

\paper A formula for the number of combinations with constrained repetitions and its application

\jour Prikl. Diskr. Mat.

\yr 2013

\issue 2(20)

\pages 71--77

\mathnet{http://mi.mathnet.ru/pdm409}

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https://www.mathnet.ru/eng/pdm409

https://www.mathnet.ru/eng/pdm/y2013/i2/p71

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
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