Keywords: primary; 05A30; secondary; 33D15; Ramanujan; Partial theta function; Partial theta function identity; Jacobi's triple product; Summation; Transformation; Bailey pair; Bivariate representation;
مقالات ISI (ترجمه نشده)
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Keywords: 15A15; 15B05; 05A18; 05A30; 11D04; 11D45; 82B20; Permanent; Degenerate Schur matrix; Circulant matrix; Multiset partition; q-function; Ising model;
Keywords: 05A30; 33D70; 11B75; 52B05; Morris identity; Constant term; Laurent series; Restricted sumset; Tesler polytope;
Keywords: primary; 33D15; secondary; 05A30; 11F03; 11F37; Mock theta functions; Mixed mock theta functions; Bailey pairs; Bailey chain;
Keywords: 05A15; 05A30; 11B68; 33B10Entringer numbers; Poupard numbers; Tangent numbers; Secant numbers; Linear refinement; Entringer–Poupard matrix sequence; Matrix refinement; Alternating permutations; Three-variate generating function calculus; Seidel and skew S
Keywords: 05A15; 05A19; 05A30; 11B65; 11B73; 11B83Rook numbers; q-Analogues; Elliptic extensions; Alpha-parameter model; Matchings
Factors of alternating sums of powers of q-Narayana numbers
Keywords: 11A07; 05A30; q-binomial coefficients; q-Narayana numbers; q-Catalan numbers;
q-Riordan representation
Keywords: 11C20; 05A30; 15B65; Riordan representation; Pascal matrices; q-Calculus;
The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions
Keywords: primary; 11B65; secondary; 05A10; 05A30; Congruences; Truncated q-hypergeometric function; Cyclotomic polynomial; q-Chu-Vandermonde identity;
(Ï,q)-Volkenborn integration
Keywords: 05A30; 11B65; 11B68; 11S23; q-Volkenborn integral; Carlitz's q-Bernoulli polynomials; (Ï,q)-calculus; p-adic number;
Homogeneous q-partial difference equations and some applications
Keywords: 05A30; 11B65; 33D15; 33D45; 39A13; Homogeneous q-partial difference equation; Generating function; q-hypergeometric polynomial; Askey-Roy integral; Andrews-Askey integral; Ramanujan's integral; Moment integral;
q-Stirling numbers: A new view
Keywords: 05A30; 06A07; 18G35; q-analogues; Stirling numbers; Poset; Discrete Morse theory; Algebraic complex; Orthogonality;
On q-integrals over order polytopes
Keywords: primary; 05A30; secondary; 05A15; 06A07; q-Integral; Order polytope; q-Selberg integral; Reverse plane partition; q-Ehrhart polynomial;
Applications of Riordan matrix functions to Bernoulli and Euler polynomials
Keywords: 05A05; 05A15; 15B36; 15A09; 05A30; 05A10; 05A19Riordan array; Riordan group; Pascal matrix; Bernoulli polynomials and numbers; Euler polynomials and numbers; Conjugate Bernoulli and Euler polynomials
Duality and (q-)multiple zeta values
Keywords: 11M32; 16T05; 05A30; Multiple zeta values; q-Analogues; Duality; Double shuffle relations; Derivation relations; Hoffman-Ohno relation; Hopf algebra; Infinitesimal bialgebra; Rota-Baxter algebra;
Representing polynomials as characteristic polynomials via the Stieltjes transform
Keywords: primary; 05A30; secondary; 05A15; Polynomials; Stieltjes transform; Riordan matrix;
The Bailey transform and Hecke–Rogers identities for the universal mock theta functions
Keywords: 33D15; 11F32; 05A30; 33D90Universal mock theta function; Hecke–Rogers identity; Conjugate Bailey pair; Bailey pair; Bailey's transform
Algebraic properties of Manin matrices II: q-analogues and integrable systems
Keywords: 15B33; 05A19; 05A30; 15A15; 16T20; 17B37; 20G42; 81R50Non-commutative determinant; Quasideterminant; Manin matrix; Jacobi ratio theorem; Newton identities; Cayley–Hamilton theorem; Schur complement; Dodgson condensation; Lax matrix; R-matrix
On the number of partitions with designated summands
Keywords: 05A17; 11P83; 05A30; Partition with designated summands; Ramanujan type identity; Ramanujanʼs cubic continued fraction; Cubic theta function;
Some q-congruences related to 3-adic valuations
Keywords: primary; 11B65; secondary; 05A10; 05A30; 11A07; 11S99; 3-adic valuation; Central binomial coefficient; Congruence; q-analogue;
Enumeration formulas for generalized q-Euler numbers
Keywords: 05A19; 05A30; 05E35; Euler numbers; Touchard-Riordanʼs formula; Continued fractions;
On Shapiroʼs Catalan convolution
Keywords: 05A10; 05A17; 05A30; Catalan numbers; Shapiro convolution; q-Hypergeometric series;
Signed excedance enumeration via determinants
Keywords: 05A15; 05A30; 05E99; Determinant; Signed-excedance; Enumeration;
On an identity of Gessel and Stanton and the new little Göllnitz identities
Keywords: 05A15; 05A17; 05A19; 05A30; 11P81; 11P82; Integer partitions; q-Series identities; q-Gauss summation; Little Göllnitz partition theorems; Göllnitz-Gordon partition theorem; Lebesgue identity;
The decrease value theorem with an application to permutation statistics
Keywords: 05A15; 05A30; 05E15; 33D15; Decrease value theorem; Wreath product; Flag-major index; Flag-excedance number; Flag-descent number; Signed permutations; Lyndon factorization; Decreases;
A semi-recursion for the number of involutions in special orthogonal groups over finite fields
Keywords: 05A19; 05A30; 20G40Involutions; Special orthogonal groups over finite fields; q-binomial coefficients; Vector spaces over finite fields; Recursions; Character degree sums
Fix-Euler-Mahonian statistics on wreath products
Keywords: 05A05; 05A15; 05A19; 05A30; Colored permutations; Wreath product; Eulerʼs difference table; Derangements; Euler-Mahonian statistics;
Eulerian quasisymmetric functions and cyclic sieving
Keywords: 05A15; 05A30; 05E05; 05E18; Cyclic sieving; Major index; Excedance; Quasisymmetric functions;
Factors of binomial sums from the Catalan triangle
Keywords: 05A10; 05A30; 11B65Catalan triangle; Divisibility; Chu–Vandermonde formula; Pfaff–Saalschütz identity; Lucas' theorem
Distributions and moments of record values in a sequence of maximally dependent random variables
Keywords: primary 60E15; secondary 60G70; 05A30; Maximally dependent sequence; Exchangeable sequence; Sample maximum; Record time; Record value; Stochastic order; Signless Stirling numbers of first kind; Riemann zeta function;
Distribution of record statistics in a geometrically increasing population
Keywords: Primary; 60C05; secondary; 05A30; Combinatorial probability; Inter-record times; q-Stirling numbers; q-Zeta function; Record times;
A qq-analog of dual sequences with applications
Keywords: primary; 05A30; secondary; 33D99
Some arithmetic properties of the qq-Euler numbers and qq-Salié numbers
Keywords: primary; 05A30; 05A15; secondary; 11A07
On the number of inversions in bimodal permutations
Keywords: 05A05; 05A30; Inversions; Bimodal-, cup-, cap permutations; Probability generating function; Cumulant generating function; Asymptotics;
Rook numbers and the normal ordering problem
Keywords: Primary 05A10; 05A30; secondary 12H05; Rook numbers; Normal ordering problem; Rook factorization theorem; Differential operators; Binomial coefficients; Continued fractions;
Two-sided ideals in q-deformed Heisenberg algebras
Keywords: primary 16S32; secondary 16S80; 81R50; 16D25; 05A30; q-deformed Heisenberg algebras; Two-sided ideals;
Advanced determinant calculus: A complement
Keywords: Primary 05A19; Secondary 05A10; 05A15; 05A17; 05A18; 05A30; 05E10; 05E15; 11B68; 11B73; 11C20; 11Y60; 15A15; 33C45; 33D45; 33E05; Determinants; Vandermonde determinant; Cauchy's double alternant; Skew circulant matrix; Confluent alternant; Confluent Cau