Relevant bibliographies by topics / Combinatorial identities

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Combinatorial identities'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Combinatorial identities.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Combinatorial identities"

1

Sachdeva, Rachna, and Ashok Kumar Agarwal. "Further Rogers-Ramanujan type identities for modified lattice paths." Contributions to Discrete Mathematics 18, no. 2 (2023): 74–90. http://dx.doi.org/10.55016/ojs/cdm.v18i2.73702.

Full text
Abstract:
Recently, the authors introduced the modified lattice paths which generalize Agarwal-Bressoud weighted lattice paths. Using these new objects they interpreted combinatorially two basic series identities which led to two new combinatorial Rogers-Ramanujan type identities. In this paper we obtain three more Rogers-Ramanujan type identities for modified lattice paths. This also leads to three new 3-way combinatorial identities.
APA, Harvard, Vancouver, ISO, and other styles
2

Lockwood, Elise, Zackery Reed, and Sarah Erickson. "Undergraduate Students’ Combinatorial Proof of Binomial Identities." Journal for Research in Mathematics Education 52, no. 5 (2021): 539–80. http://dx.doi.org/10.5951/jresematheduc-2021-0112.

Full text
Abstract:
Combinatorial proof serves both as an important topic in combinatorics and as a type of proof with certain properties and constraints. We report on a teaching experiment in which undergraduate students (who were novice provers) engaged in combinatorial reasoning as they proved binomial identities. We highlight ways of understanding that were important for their success with establishing combinatorial arguments; in particular, the students demonstrated referential symbolic reasoning within an enumerative representation system, and as the students engaged in successful combinatorial proof, they
APA, Harvard, Vancouver, ISO, and other styles
3

Morgan, Thomas L. "Six Combinatorial Identities." SIAM Review 30, no. 2 (1988): 308–9. http://dx.doi.org/10.1137/1030055.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Morgan, Thomas L. "Six Combinatorial Identities." SIAM Review 31, no. 2 (1989): 325–28. http://dx.doi.org/10.1137/1031063.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Xin-Rong, Ma, and Wang Tian-Ming. "Two Combinatorial Identities." SIAM Review 37, no. 1 (1995): 98. http://dx.doi.org/10.1137/1037009.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Marwah, Bhanu, and Megha Goyal. "Split lattice paths and Rogers-Ramanujan type identities." Contributions to Discrete Mathematics 19, no. 3 (2024): 241–57. http://dx.doi.org/10.55016/ojs/cdm.v19i3.75377.

Full text
Abstract:
In this paper, an open problem posed by the second author [On $q$-series and split lattice paths, Graphs and Combinatorics, 2020] is addressed. Here, we provide combinatorial interpretations of four generalized basic series in terms of split lattice paths. Out of these series, two series have been studied by Adiga et. al. [On Generalization of Some Combinatorial Identities, J. Ramanujan Soc. of Math. and Math. Sc., 2016] using split $(n + t)$-color partitions and $R$-weighted lattice paths but a direct one-to-one correspondence between these two classes was missing. We are successful in the qu
APA, Harvard, Vancouver, ISO, and other styles
7

Silva, Reginaldo Leoncio, and Elen Viviani Pereira Spreafico. "ON COMBINATORIAL IDENTITIES FOR R-GENERALIZED FIBONACCI SEQUENCES." Revista Sergipana de Matemática e Educação Matemática 9, no. 3 (2024): 124–35. http://dx.doi.org/10.34179/revisem.v9i3.21331.

Full text
Abstract:
In this paper, we investigate combinatorial identities for r−generalized Fibonacci sequences. For this purpose, we established a combinatorial fundamental system related to the sequences of r−generalized Fibonacci type, and using the properties of the Casoratian matrix associated we obtain new combinatorial identities. Moreover, some special cases are studied and new general combinatorial identities are provided for these special sequences of numbers. Keywords: Fundamental System, Properties, Combinatorial Identities.
APA, Harvard, Vancouver, ISO, and other styles
8

Mestechkin, M. "On two combinatorial identities." Journal of Computational Methods in Sciences and Engineering 17, no. 4 (2017): 887–912. http://dx.doi.org/10.3233/jcm-170763.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Lavertu, Marie-Louis, and Claude Levesque. "On Bernstein's Combinatorial Identities." Fibonacci Quarterly 23, no. 4 (1985): 347–55. http://dx.doi.org/10.1080/00150517.1985.12429805.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Hernández-Galeana, A., Elizabeth Santiago-Cort´es, and Jose Luis López Bonilla. "On certain combinatorial identities." Journal de Ciencia e Ingeniería 14, no. 1 (2022): 34–38. http://dx.doi.org/10.46571/jci.2022.1.4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Combinatorial identities"

1

Reiland, Elizabeth. "Combinatorial Interpretations of Fibonomial Identities." Scholarship @ Claremont, 2011. http://scholarship.claremont.edu/hmc_theses/10.

Full text
Abstract:
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+1} ^{n} F_i}{\prod_{j=1}^{k} F_j} \] where $F_i$ is the $i$th Fibonacci number, defined by the recurrence $F_n=F_{n-1}+F_{n-2}$ with initial conditions $F_0=0,F_1=1$. In the past year, Sagan and Savage have derived a combinatorial interpretation for these Fibonomial numbers, an interpretation that relies upon tilings of a partition and its complement in a given grid.In this thesis, I investigate previously proven theorems for the Fibonomial numbers and attempt to reinterpret and reprove them in
APA, Harvard, Vancouver, ISO, and other styles
2

Preston, Greg. "Combinatorial Explanations of Known Harmonic Identities." Scholarship @ Claremont, 2001. https://scholarship.claremont.edu/hmc_theses/134.

Full text
Abstract:
We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmonic numbers do not readily lend themselves to combinatorial interpretation, since they are sums of fractions, and combinatorial arguments involve counting whole objects. It turns out that we can transform these harmonic identities into new identities involving Stirling numbers, which are much more apt to combinatorial interpretation. We have proved four of these identities, the first two being special cases of the third.
APA, Harvard, Vancouver, ISO, and other styles
3

Dohmen, Klaus. "Improved Bonferroni inequalities via abstract tubes : inequalities and identities of inclusion-exclusion type /." Berlin [u.a.] : Springer, 2003. http://www.loc.gov/catdir/enhancements/fy0818/2003066695-d.html.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Heberle, Curtis. "A Combinatorial Approach to $r$-Fibonacci Numbers." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/34.

Full text
Abstract:
In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T. Howard and Curtis Cooper in the August, 2011, issue of the Fibonacci Quarterly. We also explore a connection between the generalized Fibonacci numbers and a generalized form of binomial coefficients.
APA, Harvard, Vancouver, ISO, and other styles
5

Ryoo, Ji Hoon. "Identities for the Multiple Polylogarithm Using the Shuffle Operation." Fogler Library, University of Maine, 2001. http://www.library.umaine.edu/theses/pdf/RyooJH2001.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Silva, Robson da. "Provas bijetivas atraves de nova representação matricial para partições." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307496.

Full text
Abstract:
Orientador: Jose Plinio de Oliveira Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-14T00:20:04Z (GMT). No. of bitstreams: 1 Silva_Robsonda_D.pdf: 897208 bytes, checksum: 5d17d33a20271484f3f7853e008443db (MD5) Previous issue date: 2009<br>Resumo: No presente trabalho, apresentamos provas bijetivas para algumas identidades. A principal ferramenta utilizada _e a representação para partições como matrizes de duas linhas introduzida em [9] e [10]. Também apresentamos algumas conseq
APA, Harvard, Vancouver, ISO, and other styles
7

Ribeiro, Andreia Cristina. "Aspectos combinatorios de identidades do tipo Rogers-Ramanujan." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307502.

Full text
Abstract:
Orientador: Jose Plinio de Oliveira Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-07T19:25:43Z (GMT). No. of bitstreams: 1 Ribeiro_AndreiaCristina_D.pdf: 576297 bytes, checksum: 445154b7e26e801e909854c976d31c45 (MD5) Previous issue date: 2006<br>Resumo: Neste trabalho são estudadas varias das identidades do tipo Rogers-Ramanujan dadas por Slater. Em 1985, Andrews, introduziram um método geral para se estender para duas variáveis identidades desse tipo de modo a se obter, como
APA, Harvard, Vancouver, ISO, and other styles
8

Alegri, Mateus. "Interpretações combinatórias para identidades envolvendo sobrepartições e partições planas." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307516.

Full text
Abstract:
Orientador: José Plínio de Oliveira Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatisitca e Computação Cientifica<br>Made available in DSpace on 2018-08-16T01:34:00Z (GMT). No. of bitstreams: 1 Alegri_Mateus_D.pdf: 32503931 bytes, checksum: fb4329080c2c9c80896a52e4442b1b86 (MD5) Previous issue date: 2010<br>Resumo: Neste trabalho apresentaremos novas provas bijetivas para identidades relacionadas a partições em partes pares e distintas, generalizações das identidades de Rogers-Ramanujan entre outras. Porém o objetivo principal será trabalhar com
APA, Harvard, Vancouver, ISO, and other styles
9

Cruz, Carla Maria. "Numerical and combinatorial applications of generalized Appell polynomials." Doctoral thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/13962.

Full text
Abstract:
Doutoramento em Matemática<br>This thesis studies properties and applications of different generalized Appell polynomials in the framework of Clifford analysis. As an example of 3D-quasi-conformal mappings realized by generalized Appell polynomials, an analogue of the complex Joukowski transformation of order two is introduced. The consideration of a Pascal n-simplex with hypercomplex entries allows stressing the combinatorial relevance of hypercomplex Appell polynomials. The concept of totally regular variables and its relation to generalized Appell polynomials leads to the constructi
APA, Harvard, Vancouver, ISO, and other styles
10

Shibalovich, Paul. "Fundamental theorem of algebra." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2203.

Full text
Abstract:
The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Combinatorial identities"

1

A, Giambruno, Regev Amitai, and Zaicev Mikhail, eds. Polynomial identities and combinatorial methods. Marcel Dekker, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

1939-, Berndt Bruce C., ed. Ramanujan's forty identities for the Rogers-Ramanujan functions. American Mathematical Society, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Meurman, Arne. Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities. American Mathematical Society, 1999.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

1931-, Wilf Herbert S., and Zeilberger Doron, eds. A=B. A K Peters, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Farkas, Hershel M. Theta constants, Riemann surfaces, and the modular group: An introduction with applications to uniformization theorems, partition identities, and combinatorial number theory. American Mathematical Society, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Alladi, Krishnaswami, Frank Garvan, and Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. American Mathematical Society, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Combinatorial identities"

1

Alzer, Horst. "Polynomials and Combinatorial Identities." In Springer Optimization and Its Applications. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-78369-2_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Chu, Wenchang. "Inversion Techniques and Combinatorial Identities." In Runs and Patterns in Probability. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4613-3635-8_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Erusalimsky, Ya M. "Combinatorial Identities with Binomial Coefficients." In Operator Theory and Harmonic Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76829-4_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Wei, Chuanan, and Ling Wang. "New Proofs for Several Combinatorial Identities." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34289-9_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Roytvarf, Alexander A. "Jacobi Identities and Related Combinatorial Formulas." In Thinking in Problems. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8406-8_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Nathanson, Melvyn B. "Adjoining Identities and Zeros to Semigroups." In Combinatorial and Additive Number Theory. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1601-6_14.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Alzer, Horst, Omran Kouba, and Man Kam Kwong. "Combinatorial Identities and Inequalities for Trigonometric Sums." In Springer Optimization and Its Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55857-4_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Andersen, Erik Sparre, and Mogens Esrom Larsen. "Combinatorial Identities: A Generalization of Dougall’s Identity." In Advances in Combinatorial Methods and Applications to Probability and Statistics. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-4140-9_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Croot, Ernest. "A combinatorial method for developing Lucas sequence identities." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2008. http://dx.doi.org/10.1090/crmp/046/13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Baker, Andrew. "Combinatorial and arithmetic identities based on formal group laws." In Algebraic Topology Barcelona 1986. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0082998.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Combinatorial identities"

1

Gasparyan, Armenak Sokratovich. "Combinatorial identities over recurrent sequences." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-45.

Full text
Abstract:
The article presents several general identities, special cases which are many well-known identities such as, for example, Cassini, Catalan, Taguiri identities for Fibonacci numbers, their analogues and generalizations to other Fibonacci-type numbers.
APA, Harvard, Vancouver, ISO, and other styles
2

Yang, Harold R. L. "Combinatorial proofs of Fibonacci identities." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639169.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Svrtan, Dragutin. "On some partition identities related to affine Lie algebra representations." In 1st Croatian Combinatorial Days. University of Zagreb Faculty of Civil Engineering, 2017. http://dx.doi.org/10.5592/co/ccd.2016.06.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Damiano, Alberto, Vladimír Souček, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Dirac Operator in Several Variables and Combinatorial Identities." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790256.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Yuluklu, Eda. "Identities for Hermite base combinatorial polynomials and numbers." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0031017.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Cação, I., M. I. Falcão, and H. R. Malonek. "Combinatorial identities in the context of hypercomplex function theory." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043904.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kasparian, Azniv. "Riemann-Roch Theorem and Mac Williams identities for an additive code with respect to a saturated lattice." In 2020 Algebraic and Combinatorial Coding Theory (ACCT). IEEE, 2020. http://dx.doi.org/10.1109/acct51235.2020.9383243.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Combinatorial identities' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography