Výsledky vyhľadávania - "combinatorial identities"

On sums of binomial coefficients

Autori: Sofo, Anthony

Zdroj: Proyecciones (Antofagasta), Volume: 28, Issue: 1, Pages: 35-45, Published: MAY 2009

Predmety: Zeta function, ResPubID17624, 0103 Numerical and Computational Mathematics, integral representations, Triple binomial coefficients, triple binomial coefficients, 0102 computer and information sciences, 01 natural sciences, zeta function, combinatorial identities, School of Engineering and Science, 970101 Expanding Knowledge in the Mathematical Sciences, 0101 mathematics

Popis súboru: text/html

Prístupová URL adresa: https://scielo.conicyt.cl/pdf/proy/v28n1/art04.pdf
https://vuir.vu.edu.au/4599/
https://www.revistaproyecciones.cl/article/view/1383
http://www.scielo.cl/pdf/proy/v28n1/art04.pdf
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
http://vuir.vu.edu.au/4599/
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004&lng=en&tlng=en

Conjugating cyclic \(n\)-color compositions

Autori: Hopkins, Brian Barrón, Jesús Sistos Wang, Hua

Zdroj: Utilitas Mathematica. 122:53-64

Predmety: Combinatorial aspects of partitions of integers, combinatorial proofs, Exact enumeration problems, generating functions, \(n\)-color compositions, Elementary theory of partitions, integer compositions, Combinatorial identities, bijective combinatorics, cyclic compositions, conjugation

Popis súboru: application/xml

Easier proofs of three determinant identities

Autori: Gao, Shuling Chu, Wenchang

Zdroj: Journal of Combinatorial Mathematics and Combinatorial Computing. 124:527-533

Predmety: Vandermond dererminant, Algebraic systems of matrices, skew-symmetric matrix, determinant, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8035859
https://doi.org/10.61091/jcmcc124-35

Partition identities from higher level crystals of 𝐴₁⁽¹⁾: Partition identities from higher level crystals of \(A_1^{(1)}\)

Autori: Dousse, Jehanne Hardiman, Leonard Konan, Isaac

Zdroj: Proceedings of the American Mathematical Society. 153:1363-1382

Predmety: Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Exact enumeration problems, generating functions, Rogers-Ramanujan-type identities, 01 natural sciences, crystal bases, Partition identities, identities of Rogers-Ramanujan type, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Mathematics - Combinatorics, Quantum Algebra (math.QA), Number Theory (math.NT), 0101 mathematics, Representation Theory (math.RT), Combinatorial identities, bijective combinatorics, Combinatorial aspects of partitions of integers, Mathematics - Number Theory, Elementary theory of partitions, character formulas, Kac-Moody (super)algebras, extended affine Lie algebras, toroidal Lie algebras, 05A15, 05A17, 05A30, 05E10, 11P81, 11P84, 17B10, 17B65, 17B67, Kac-Moody Lie algebras, integer partitions, Combinatorial aspects of representation theory, Combinatorics (math.CO), Mathematics - Representation Theory

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2111.10279
https://zbmath.org/7991239
https://doi.org/10.1090/proc/16417

Some new families of generalized k-Leonardo and Gaussian Leonardo Numbers.

Autori: Prasad, Kalika Mohanty, Ritanjali Kumari, Munesh a ďalší

Zdroj: Communications in Combinatorics & Optimization. 2024, Vol. 9 Issue 3, p539-553. 15p.

Predmety: *GAUSSIAN function, *COMBINATORIAL identities, *EXPONENTIAL functions, *MATHEMATICS, *GEOMETRY

The Lost Cherokee.

Autori: Paradice, Gwendolyn

Zdroj: Journal of American Folklore. Summer2024, Vol. 137 Issue 545, p345-353. 9p.

Predmety: *COMBINATORIAL identities, *EMOTIONS

Unimodal sequences: From Isaac Newton to June Huh: Unimodal sequences: from Isaac Newton to June Huh

Autori: M. Ram Murty

Zdroj: International Journal of Number Theory. 20:2453-2476

Predmety: Graphs and linear algebra (matrices, eigenvalues, etc.), Rota-Welsh conjecture, Sequences and sets, ADG conjecture, 0102 computer and information sciences, Combinatorial aspects of matroids and geometric lattices, unimodal sequences, 01 natural sciences, Biographies, obituaries, personalia, bibliographies, Graph polynomials, \(q\)-calculus and related topics, log-concave sequences, Newton's theorem, 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

TRANSFORMATION AND SYMMETRIES FOR THE ANDREWS-GARVAN CRANK FUNCTION: Transformation and symmetries for the Andrews-Garvan crank function

Autori: Sarma, Rishabh

Zdroj: Hardy-Ramanujan Journal.

Predmety: Dyson's rank function, Mathematics - Number Theory, crank function, modular forms, 01 natural sciences, 05A19, 11B65, 11F11, 11F37, 11P82, 11P83, 33D15, Partitions, congruences and congruential restrictions, Binomial coefficients, factorials, \(q\)-identities, partitions, FOS: Mathematics, Analytic theory of partitions, Number Theory (math.NT), 0101 mathematics, Holomorphic modular forms of integral weight, Forms of half-integer weight, nonholomorphic modular forms, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2301.10991

Refined dual Grothendieck polynomials, integrability, and the Schur measure

Autori: Motegi, Kohei Scrimshaw, Travis

Zdroj: Selecta Mathematica. 31

Predmety: vertex model, 05E05, 82B23, 14M15, 05A19, 60B20, Symmetric functions and generalizations, Classical problems, Schubert calculus, Probability (math.PR), K-Theory and Homology (math.KT), Grassmannians, Schubert varieties, flag manifolds, 01 natural sciences, Random matrices (probabilistic aspects), Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, dual Grothendieck polynomial, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), 0101 mathematics, Exactly solvable models, Bethe ansatz, last passage percolation, Mathematics - Probability, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2012.15011
https://zbmath.org/8032686
https://doi.org/10.1007/s00029-025-01041-w

Bernoulli numbers with level 2

Autori: Komatsu, Takao

Zdroj: Aequationes mathematicae. 99:71-87

Predmety: generating function, Other combinatorial number theory, Exact enumeration problems, generating functions, Bell and Stirling numbers, Recurrences, Bernoulli and Euler numbers and polynomials, Euler numbers, Combinatorial identities, bijective combinatorics, Bernoulli numbers

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8009173
https://doi.org/10.1007/s00010-024-01089-7

Combinatorial Identities for the Narayana Numbers

Autori: Ángel Plaza Steven J. Tedford

Zdroj: Axioms, Vol 14, Iss 10, p 771 (2025)

Predmety: Narayana numbers, combinatorial identities, genreralized Narayana numbers, k-Narayana numbers, Mathematics, QA1-939

Popis súboru: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/10/771; https://doaj.org/toc/2075-1680

Prístupová URL adresa: https://doaj.org/article/70985622b993421f879157158d54fb48

ON COMBINATORIAL IDENTITIES OF LUCAS AND FIBONACCI NUMBERS CONNECTED TO TCHEBYSHEV POLYNOMIALS

Autori: GOUTHAM C R. RANGARAJAN

Zdroj: International Journal of Mathematics And Computer Research. 13

Predmety: Lucas and Fibonacci numbers, Tchebyshev polynomials of first and second kind, Combinatorial identities

Pascal's Formulas and Vector Fields: Pascal's formulas and vector fields

Autori: Chassaing, Philippe Flin, Jules Zevio, Alexis

Zdroj: The Electronic Journal of Combinatorics. 32

Predmety: Functional limit theorems, invariance principles, Markov chains, sample paths, binomial coefficients, 01 natural sciences, Markov chains (discrete-time Markov processes on discrete state spaces), Stirling numbers, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, Eulerian numbers, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2210.11814

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants

Autori: Deb, Bishal

Zdroj: Combinatorial Theory, vol 5, iss 1

Predmety: Permutations, words, matrices, Motzkin path, permutations, S-fraction, J-fraction, almost-Dyck path, Exact enumeration problems, generating functions, Permutations, T-fraction, continued fraction, 05A19 (Primary) 05A05, 05A10, 05A15, 05A30, 11B68, 30B70 (Secondary), Laguerre digraphs, Schröder path, \(q\)-calculus and related topics, FOS: Mathematics, Mathematics - Combinatorics, Dyck path, Combinatorics (math.CO), D-permutations, Foata-Zeilberger bijection, Bernoulli and Euler numbers and polynomials, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics, Continued fractions, complex-analytic aspects

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2304.14487
https://zbmath.org/8017587
https://doi.org/10.5070/c65165020
https://escholarship.org/uc/item/35r6q8zv
https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf

Key-avoidance for alternating sign matrices

Autori: Mathilde Bouvel Rebecca Smith Jessica Striker

Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol vol. 27:1, Permutation..., Iss Special issues (2025)

Predmety: Permutations, words, matrices, mathematics - combinatorics, 05A05, 05A19, Exact enumeration problems, generating functions, ASM key, alternating sign matrix, Matrices of integers, pattern avoidance, 05a05, 05a19, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Catalan numbers, permutation pattern, Mathematics, Combinatorial identities, bijective combinatorics, Combinatorial aspects of matrices (incidence, Hadamard, etc.)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2408.05311
https://zbmath.org/8037131
https://doi.org/10.46298/dmtcs.14058
https://doaj.org/article/ace43f0360c14e85800f4b03f5874cb0

On generalized Bernoulli-Barnes polynomials

Autori: Quintana, Yamilet Ramírez, José Luis Sirvent, Víctor F. a ďalší

Prispievatelia: Quintana, Yamilet Ramírez, José Luis Sirvent, Víctor F. a ďalší

Zdroj: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

Predmety: Generating functions, Matemáticas, Combinatorial identities, Generalized Apostol-type polynomials, Bernoulli-Barnes polynomials, Stirling numbers

Popis súboru: application/pdf

Prístupová URL adresa: https://hdl.handle.net/10016/46435

ON THREE CONSECUTIVE PAIRS OF LUCAS AND FIBONACCI NUMBERS CONNECTED TO PELL-LUCAS AND PELL POLYNOMIALS

Autori: GOUTHAM C R. RANGARAJAN

Zdroj: International Journal of Mathematics And Computer Research. 13

Predmety: Combinatorial identities, Generalized Lucas - Fibonacci pairs, Tchebyshev polynomials

The distribution of genera of 2-bridge knots

Autori: Cohen, Moshe Dinardo, Abigail Lowrance, Adam M. a ďalší

Zdroj: Fundamenta Mathematicae. 267:195-229

Predmety: rational knot, 2-bridge knot, Geometric Topology, FOS: Mathematics, Knot theory, Geometric Topology (math.GT), Geometric probability and stochastic geometry, 57K10, Combinatorial identities, bijective combinatorics, knot genus

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2307.09399

A weighted extension of Fibonacci numbers

Autori: Bhatnagar, Gaurav Kumari, Archna Schlosser, Michael J.

Zdroj: Journal of Difference Equations and Applications. 29:733-747

Predmety: 101025 Zahlentheorie, Mathematics - Number Theory, elliptic extensions, Combinatorial identities, weighted extensions, Elliptic extensions, 101012 Combinatorics, Fibonacci numbers, 0102 computer and information sciences, 01 natural sciences, combinatorial identities, 101025 Number theory, Weighted extensions, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, 101012 Kombinatorik, Combinatorics (math.CO), Number Theory (math.NT), 0101 mathematics, 05A19 (Primary), 11B39, 11B65, 33E05 (Secondary)

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2301.08016
https://phaidra.univie.ac.at/o:2090796
https://hdl.handle.net/11353/10.2090796
https://doi.org/10.1080/10236198.2023.2251594

On Fibonacci (k,p)-Numbers and Their Interpretations

Autori: Yasemin TAŞYURDU Berke CENGİZ

Zdroj: Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 27, Iss 2, Pp 235-246 (2023)
Volume: 27, Issue: 2 235-246
Sakarya University Journal of Science
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Predmety: Matematik, generalized fibonacci numbers, Combinatorial identities, Fibonacci p-numbers, generalized Fibonacci numbers, tilings, 0102 computer and information sciences, Engineering (General). Civil engineering (General), 01 natural sciences, Mathematical Sciences, combinatorial identities, Chemistry, fibonacci p-numbers, TA1-2040, 0101 mathematics, QD1-999

Popis súboru: application/pdf

Prístupová URL adresa: https://doaj.org/article/84b7fdadb87b4e34b814b686837a85c7
https://dergipark.org.tr/tr/pub/saufenbilder/issue/76551/1173173