Keywords: primary; 05A19; 60E05; secondary; 11M35; 33C45; Generalized Stirling numbers of the second kind; Sum of powers formula; Difference operators; Bell polynomials; Polylogarithms; Appell polynomials;
مقالات ISI (ترجمه نشده)
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Keywords: Trinomial coefficient; Linear recurrence sequence; Chebyshev polynomial; Primary 11B65; Secondary 05A10; 05A19; 11B37; 11B39; 11A07;
Keywords: primary; 05A15; secondary; 05A17; 05A19; 05E10; Words; Pattern avoidance; Ferrers diagrams; Ferrers shapes; Growth diagrams; Wilf-equivalence; Shape-Wilf-equivalence;
Keywords: 05A15; 05A19; Rational Dyck paths; Factor-free Dyck words; Partial Bell polynomials;
Keywords: primary; 05A10; 05A19; 33C20; secondary; 11B65; 11B83; 11M06; Polygamma function; Integral representation; Logarithmic integral; Riemann zeta function;
Keywords: 05A15; 05A19; Context-free grammars; Grammatical labeling; Exterior peaks; Proper double descents;
Keywords: 05A16; 05A19; Lattice path enumeration; Asymptotics;
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83; Double Riordan arrays; Riordan group; Generating function; Succession rule; A-sequence; Z-sequence; High order Riordan arrays; Quasi-Riordan arrays;
Keywords: 05A05; 05A15; 05A18; 05A19; Generating function; Gaussian polynomial; lb; ls; Noncrossing partition; Nonnesting partition; Pattern; rb; rs; Restricted growth function; Partition; Statistic; Two-colored Motzkin path;
Keywords: 15B99; 15A45; 05A19; 05A20; Riordan array; Total positivity; Log-convexity;
Keywords: 05A17; 05A19; 11B34; 11B75; 11P81; 11P84; 33D15; Weighted count of partitions; Gordon-Göllnitz partitions; Rogers-Ramanujan partitions; False theta functions; Heine transformation; q-Gauss summation; Modular partitions;
Keywords: 05A05; 05A15; 05A19; 15B35; 82B20; 82B23; Alternating sign matrices; Six-vertex model;
Keywords: 05A17; 05A19; 11P83; 11F11Partitions; Mixed mock modular forms; Mock Theta functions
Keywords: 05A17; 05A19; 11P81; 11P82Integer partitions; Partition function; Recurrence relation
Keywords: 11A25; 11P81; 11P84; 05A17; 05A19; Divisors; Lambert series; Partitions;
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83Riordan arrays; Riordan group; Appell subgroup; Associate subgroup; Bell subgroup; Derivative subgroup; Checkerboard subgroup; Hitting-time subgroup; Girard–Waring type identities; Row sum functions an
Keywords: 05A15; 05A17; 05A19; 11B34; 11B37; 11B75; 11P81; 11P83; 33D15Partitions with parity restrictions and bounds; Partition identities; q-Series; BG-rank; Alternating sum of parts; Rogers–Szegő polynomials; (Little) Göllnitz identity
Keywords: Closed formula; Higher-order derivative; Trigonometric function; Hyperbolic function; Tangent number11B73; 33B10; 05A19
Keywords: Bernoulli polynomials; Poly-Cauchy polynomials; Degenerate poly-Cauchy polynomials; Umbral calculus; 05A19; 05A40; 11B83;
Keywords: primary; 60E05; secondary; 05A19; 62P05; Generalized Poisson distribution; Delaporte distribution; Claim number distribution; Lagrangian probability distribution; Recursive evaluation; Aggregate claim distribution; Panjer recursion; Multinomial Abel ident
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83Riordan group; Generating function; Stieltjes matrix; Succession rule; Production matrix; A-matrix; Fundamental theorem of Riordan arrays; Stirling numbers of the second kind
Keywords: 05A15; 05A19; 06A07Catalan numbers; Interval order; Fishburn matrix
Keywords: 05A19; 11B68; 11B73; 15A09; 26A24; 33B10Explicit expression; Faà di Bruno’s formula; Stirling number; Exponential function; Apostol–Bernoulli number; Fubini number
Keywords: 05A17; 05A10; 05A19; 05A20Binomial coefficients; Multinomial coefficients; Integer partitions
Keywords: 05A15; 05A19; 05E10; One-face maps; Constellations; Jacksonʼs formula;
Keywords: 05A17; 05A19; 11A25; 11P81; 11P84Divisors; Lambert series; Partitions
Keywords: 05A15; 05A19; 05A30; 11B65; 11B73; 11B83Rook numbers; q-Analogues; Elliptic extensions; Alpha-parameter model; Matchings
A simple elementary proof of “The Unimodularity Theorem” of Oliver Knill
Keywords: 05A19; 05A05; 05C30; 05C38; Determinants; Simplicial complex; Fermi characteristic; Unimodular matrix;
Bijections for inversion sequences, ascent sequences and 3-nonnesting set partitions
Keywords: Inversion sequence; Ascent sequence; Pattern avoiding; 3-nonnesting set partition; 05A05; 05A19;
A minimaj-preserving crystal on ordered multiset partitions
Keywords: primary; 05A19; secondary; 05A18; 05E05; 05E10; 20G42; 17B37; Delta Conjecture; Ordered multiset partitions; Minimaj statistic; Crystal bases; Equidistribution of statistics;
Some properties of central Delannoy numbers
Keywords: primary; 11Y55; secondary; 05A15; 05A19; 05A20; 11B75; 11B83; 11Y35; 26A48; 30E20; 33B99; 44A10; 44A15; Central Delannoy number; Explicit expression; Identity; Cauchy product; Integral representation; Monotonicity;
Bijective enumerations of Î-free 0-1 matrices
Keywords: 05A05; 05A19; Î-free matrix; Non-ambiguous forest;
Arithmetic properties of Delannoy numbers and Schröder numbers
Keywords: primary; 11A07; 11B75; secondary; 05A10; 05A19; 11B65; 11C08; 33F99; Congruence; Polynomial; Delannoy number; Schröder number; Motzkin number;
Signed countings of types B and D permutations and t,q-Euler numbers
Keywords: 05A05; 05A15; 05A19; Euler number; Springer number; Signed permutations; Derangements; Continued fractions; Weighted bicolored Motzkin paths;
A trinity of duality: Non-separable planar maps, β(1,0)-trees and synchronized intervals
Keywords: 05A15; 05A19; 05C30; Non-separable planar maps; β-(1,0) trees; Synchronized intervals; Bijection; Map duality; Recursive decomposition;
Some determinants of path generating functions, II
Keywords: primary; 05A19; secondary; 05A10; 05A15; 11C20; 15A15; Hankel determinants; Catalan numbers; Ballot numbers; Motzkin numbers; Motzkin prefix numbers; Motzkin paths;
Rigged configuration bijection and proof of the Xâ¯=â¯M conjecture for nonexceptional affine types
Keywords: primary; 17B37; secondary; 05A19; 81R50; 82B23; Rigged configurations; Crystal bases; Fermionic formula;
Decomposition spaces, incidence algebras and Möbius inversion II: Completeness, length filtration, and finiteness
Keywords: 18G30; 16T10; 06A11; 05A19; 18-XX; 55Pxx; decomposition space; 2-Segal space; incidence algebra; Möbius inversion; homotopy cardinality; length filtration;
Multivariate Riordan groups and their representations
Keywords: primary; 05E40; secondary; 05A19; Generating function; Lagrange inversion; Riordan group; Schauder basis;
Generalized Humbert polynomials via generalized Fibonacci polynomials
Keywords: Generalized (p, q)-Fibonacci polynomials; Generalized (p, q)-Lucas polynomials; Generalized Humbert polynomials; Combinatorial identities; Determinants; 05A15; 05A19; 11B39;
Divisibility properties of the r-Bell numbers and polynomials
Keywords: primary; 11B83; secondary; 11B73; 05A15; 05A19; 05A16; r-Bell numbers; r-Stirling numbers; Touchard's congruence; p-adic valuation;
Identities involving weighted Catalan, Schröder and Motzkin paths
Keywords: primary; 05A15; secondary; 05A10; 05A19; Motzkin numbers; Catalan numbers; Narayana numbers; Schröder numbers; Weighted lattice paths; Bijection;
Lattice paths and the q-ballot polynomials
Keywords: primary; 05A15; secondary; 05A19; Lattice paths; Ballot number; Catalan number; Narayana polynomial; Frobenius partition; Generating function; Reflection principle;
Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
Keywords: 05A15; 05A05; 15B36; 15A06; 05A19; 11B83; Riordan group; Generating function; Fundamental theorem of Riordan arrays; Catalan numbers; Fuss-Catalan numbers; Fuss-Catalan matrices; Stabilizer;
Supercongruences involving dual sequences
Keywords: primary; 11A07; 11B65; secondary; 05A10; 05A19; 11B68; 11B75; p-adic congruences; Binomial coefficients; Combinatorial identities; Dual sequences;
Degenerate Mittag-Leffler polynomials
Keywords: Degenerate Mittag-Leffler polynomials; Falling factorial polynomials; Bernoulli polynomials; Frobenius-Euler polynomials; Umbral calculus; 05A19; 05A40; 11B68; 11B83; 65D20; 65Q30;
A note on the partitions involving parts of k different magnitudes
Keywords: 05A17; 11P81; 05A19; 11P84; Partitions; Divisors;
Congruences for the Fishburn numbers
Keywords: 05A19; 11F20; 11P83Fishburn numbers; Interval orders; (2+2)(2+2)-Free posets; Ascent sequences; Congruences; Bernoulli polynomials
Shift operators defined in the Riordan group and their applications
Keywords: 05A15; 05A05; 15B36; 15A06; 05A19; 11B83Riordan arrays; Riordan group; Generating function; Shift matrices; Production matrix; Bell subgroup; Chu–Vandermonde identity; Format Last Theorem; Beal Conjecture; Riordan involutions; Riordan pseudo-involutions
Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities
Keywords: primary; 05A19; secondary; 11B39; 68R05; Combinatorial identities; Riordan matrix; Recurrences relations; Fibonacci sequence;