Search Results for: 05A19

Infinite series containing generalized harmonic functions

Kwang-Wu Chen and Yi-Hsuan Chen Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 2, Pages 85–104 DOI: 10.7546/nntdm.2020.26.2.85-104 Full paper (PDF, 287 Kb) Details Authors and affiliations Kwang-Wu Chen Department of … Continue reading →

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Higher-order identities for balancing numbers

Takao Komatsu Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 2, Pages 71–84 DOI: 10.7546/nntdm.2020.26.2.71-84 Full paper (PDF, 186 Kb) Details Authors and affiliations Takao Komatsu Department of Mathematics, School of … Continue reading →

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Convolution identities for Tetranacci numbers

Takao Komatsu and Rusen Li Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 3, Pages 142-169 DOI: 10.7546/nntdm.2019.25.3.142-169 Full paper (PDF, 245 Kb) Details Authors and affiliations Takao Komatsu Department of … Continue reading →

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Some combinatorial identities for the r-Dowling polynomials

Mark Shattuck Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 2, Pages 145-154 DOI: 10.7546/nntdm.2019.25.2.145-154 Full paper (PDF, 201 Kb) Details Authors and affiliations Mark Shattuck Institute for Computational Science & … Continue reading →

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Partitions generated by Mock Theta Functions ρ(q), σ(q) and ν(q) and relations with partitions into distinct parts

Alessandro Bagatini, Marília Luiza Matte and Adriana Wagner Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 54–74 DOI: 10.7546/nntdm.2019.25.1.54-74 Full paper (PDF, 252 Kb) Details Authors and affiliations Alessandro … Continue reading →

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Some combinatorial formulas for the partial r-Bell polynomials

Mark Shattuck Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 1, Pages 63–76 Full paper (PDF, 208 Kb) Details Authors and affiliations Mark Shattuck Department of Mathematics, University of Tennessee Knoxville, … Continue reading →

Generating function and combinatorial proofs of Elder’s theorem

Robson da Silva, Jorge F. A. Lima, José Plínio O. Santos and Eduardo C. Stabel Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 21, 2015, Number 4, Pages 30–35 Full paper (PDF, 208 Kb) Details Authors and affiliations … Continue reading →

A generalized recurrence formula for Stirling numbers and related sequences

Mark Shattuck Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 21, 2015, Number 4, Pages 74–80 Full paper (PDF, 157 Kb) Details Authors and affiliations Mark Shattuck Department of Mathematics, University of Tennessee 37996 Knoxville, TN, USA Abstract … Continue reading →

AMS Codes

This functionality is currently in “beta”. You can use the search box for specific AMS codes, which are not in the list. 00A65 05A15 05A19 05A20 05C20 05C40 05C69 11A07 11A25 11A41 11A51 11A55 11B05 11B25 11B37 11B39 11B50 11B65 … Continue reading →