Keywords: اعداد استرلینگ; Harmonic numbers; Stirling numbers; Euler sums; Riemann zeta function; Multiple harmonic (star) numbers; Multiple zeta (star) values;
مقالات ISI اعداد استرلینگ (ترجمه نشده)
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Keywords: اعداد استرلینگ; 11B75; 11B73; 11B68; Generalized harmonic numbers; Quantum distribution moments; Stirling numbers; Generating relations; Sum rules; Pochhammer symbol;
Keywords: اعداد استرلینگ; 11B25; 11B68; 11B73; Arithmetic progressions; Power sums; Stirling numbers; r-Whitney numbers; Bernoulli polynomials;
Keywords: اعداد استرلینگ; primary, 41A10, 41A36, 65D17; secondary, 15A18, 42C15Multivariate Bernstein operator; Barycentric coordinates; Frames; Redundant system; Stirling numbers; Blossoming; De Casteljau algorithm
Keywords: اعداد استرلینگ; Multivariate Stirling polynomials; Bell polynomials; Faà di Bruno formula; Inversion laws; Stirling numbers; Lagrange inversion
Keywords: اعداد استرلینگ; primary; 11B75; secondary; 05A15; 05A18; 11A07; Bell polynomials; Derangement polynomials; Stirling numbers; Congruences;
Restricted Stirling and Lah number matrices and their inverses
Keywords: اعداد استرلینگ; Stirling numbers; Lah numbers; Riordan matrix; Riordan group; Reversion; Lagrange inversion; Whitney numbers; Restricted partition poset;
q-Stirling numbers: A new view
Keywords: اعداد استرلینگ; 05A30; 06A07; 18G35; q-analogues; Stirling numbers; Poset; Discrete Morse theory; Algebraic complex; Orthogonality;
q-Stirling numbers of the second kind and q-Bell numbers for graphs
Keywords: اعداد استرلینگ; Stirling numbers; Bell numbers; q-analogues; q-Stirling numbers; q-Bell numbers; q-Fibonacci numbers; special numbers for graphs;
Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to π−1
Keywords: اعداد استرلینگ; Gamma function; Polygamma functions; Stirling numbers; Factorial coefficients; Gregory's coefficients; Cauchy numbers
Expansions of generalized Euler's constants into the series of polynomials in π−2π−2 and into the formal enveloping series with rational coefficients only
Keywords: اعداد استرلینگ; Generalized Euler's constants; Stieltjes constants; Stirling numbers; Factorial coefficients; Series expansion; Divergent series; Semi-convergent series; Formal series; Enveloping series; Asymptotic expansions; Approximations; Bernoulli numbers; Harmonic
The estimation of the zeros of the Bell and r-Bell polynomials
Keywords: اعداد استرلینگ; Bell numbers; r-Bell numbers; Stirling numbers; r-Stirling numbers; Zeros of polynomials; Zero estimation;
Moment estimations of new Szász–Mirakyan–Durrmeyer operators
Keywords: اعداد استرلینگ; Szász–Mirakjan operator; Confluent hypergeometric function; Stirling numbers; Direct results; Modulus of continuity
Euler sums of hyperharmonic numbers
Keywords: اعداد استرلینگ; 11B73; 11B83; 11M99; Riemann zeta function; Hurwitz zeta function; Euler sums; Harmonic and hyperharmonic numbers; Stirling numbers; Beta function;
Path decompositions of digraphs and their applications to Weyl algebra
Keywords: اعداد استرلینگ; primary, 05C30, 16R10, 11B73; secondary, 05C45, 05A18Paths; Differential operators; Weyl algebra; Stirling numbers; Polynomial identities; N-commutators
Congruences and relations for r-Fishburn numbers
Keywords: اعداد استرلینگ; Fishburn numbers; Interval orders; Congruence; Bernoulli polynomial; Stirling numbers; Glaisher T-numbers
An extension of MacMahon's equidistribution theorem to ordered set partitions
Keywords: اعداد استرلینگ; Ordered set partitions; Inversions; Major index; Stirling numbers; Bijection
A new unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials
Keywords: اعداد استرلینگ; Generalized Euler; Bernoulli and Genocchi polynomials; Mellin transformation; Stirling numbers; Lauguerre polynomials; Bernstein polynomials;
On a logarithmic integral and the moments of order statistics from the Weibull-geometric and half-logistic families of distributions
Keywords: اعداد استرلینگ; Polylogarithm function; Stirling numbers; Weibull-geometric distribution; Half-logistic distribution; Order statistics; Moments
q-Analogues of multiparameter non-central Stirling and generalized harmonic numbers
Keywords: اعداد استرلینگ; Stirling numbers; q-Stirling numbers; Multiparameter non-central Stirling numbers; Comtet numbers; q-Analogue; Harmonic numbers; Generalized q-harmonic numbers;
Modification and unification of the Apostol-type numbers and polynomials and their applications
Keywords: اعداد استرلینگ; Bernoulli numbers and polynomials; Euler numbers and polynomials; Genocchi Bernoulli numbers and polynomials; Stirling numbers; Catalan numbers;
Positivity properties of Jacobi–Stirling numbers and generalized Ramanujan polynomials
Keywords: اعداد استرلینگ; 05A15; 05A20; 12D10Positivity properties; Jacobi–Stirling numbers; Legendre–Stirling numbers; Stirling numbers; Generalized Ramanujan polynomials; Lambert W function
Extended Bernoulli and Stirling matrices and related combinatorial identities
Keywords: اعداد استرلینگ; 05A10; 05A19; 11B68; 11B73Bernoulli polynomials; Stirling numbers; Hyperharmonic numbers; Pascal matrix; Bernoulli matrix; Stirling matrix
Remarks on two symmetric polynomials and some matrices
Keywords: اعداد استرلینگ; Interpolation; Stirling numbers; Vandermonde matrix; Symmetric polynomials; Pascal matrix;
A combinatorial approach to a general two-term recurrence
Keywords: اعداد استرلینگ; Recurrence; Stirling numbers; Binomial coefficients; Combinatorial proof
Generalized Bessel numbers and some combinatorial settings
Keywords: اعداد استرلینگ; Stirling numbers; Bessel numbers; Partitions; G-Permutations; Telephone exchange; Semi-bipartite; Riordan matrices;
On quotients of Riemann zeta values at odd and even integer arguments
Keywords: اعداد استرلینگ; primary, 11M06, 11R09; secondary, 11B73Riemann zeta values; Eisenstein polynomial; Stirling numbers
On the Stirling numbers associated with the meromorphic Weyl algebra
Keywords: اعداد استرلینگ; Stirling numbers; Generalized Stirling numbers; Meromorphic Weyl algebra;
Touchard like polynomials and generalized Stirling numbers
Keywords: اعداد استرلینگ; Touchard polynomials; Exponential operators; Stirling numbers;
Genocchi polynomials associated with the Umbral algebra
Keywords: اعداد استرلینگ; Genocchi polynomials; Sheffer sequences and Appell sequences; Euler polynomials of higher order; Stirling numbers
Distributional analysis of a generalization of the Polya process
Keywords: اعداد استرلینگ; Nonhomogeneous birth process; Negative binomial distribution; Compound Poisson distribution; Geometric distribution; Completely monotone; Mixture of geometrics; Logarithmic series distribution; STER distribution; Incomplete gamma function; Incomplete beta
Modified approach to generalized Stirling numbers via differential operators
Keywords: اعداد استرلینگ; Stirling numbers; Generalized Stirling numbers; Combinatorial identities; Normal ordering; Boson operators
Notes on particular symmetric polynomials with applications
Keywords: اعداد استرلینگ; Elementary symmetric polynomials; Complete symmetric polynomials; Power sum symmetric polynomials; Matrices; Determinant; LU factorization; Stirling numbers
Riordan arrays and harmonic number identities
Keywords: اعداد استرلینگ; Riordan arrays; Harmonic numbers; Stirling numbers; Lah numbers; Bernoulli numbers and polynomials; Cauchy numbers
A pair of operator summation formulas and their applications
Keywords: اعداد استرلینگ; Delta operator; Bernoulli number; Catalan number; Generalized harmonic number; Stirling numbers
Asymptotic analysis of the Bell polynomials by the ray method
Keywords: اعداد استرلینگ; 34E05; 11B73; 34E20; Bell polynomials; Asymptotic expansions; Stirling numbers;
Shortened recurrence relations for Bernoulli numbers
Keywords: اعداد استرلینگ; Bernoulli numbers; Stirling numbers; Recurrence relations
An explicit formula for generalized potential polynomials and its applications
Keywords: اعداد استرلینگ; Potential and Bell polynomials; Bernoulli and related polynomials and numbers; Stirling numbers
Sums of products of Cauchy numbers
Keywords: اعداد استرلینگ; Cauchy numbers; Stirling numbers; Harmonic numbers; Lah numbers; Generating functions; Recurrence relations; Asymptotic expansion
On the Hurwitz function for rational arguments
Keywords: اعداد استرلینگ; Riemann zeta function; Hurwitz zeta function; Multiple gamma function; Stirling numbers; Bernoulli numbers; Euler numbers; Glaisher’s numbers; Derivatives of the cotangent
Iterates of the infinitesimal generator and space–time harmonic polynomials of a Markov process
Keywords: اعداد استرلینگ; Markov process; Lévy processes; Subordinators; Space–time harmonic polynomials; Martingales; Infinitesimal generator; Stirling numbers
A note on the reducibility of special infinite series
Keywords: اعداد استرلینگ; Stirling numbers; Bell numbers; Algorithm; Series; Computer algebra systems;
On Miki's identity for Bernoulli numbers
Keywords: اعداد استرلینگ; Bernoulli numbers; Stirling numbers;
Equivalent finite fuzzy sets and Stirling numbers
Keywords: اعداد استرلینگ; Fuzzy subset; Equivalence; Stirling numbers; Finite difference; Kernel;
A combinatorial interpretation of the connection constants for persistent sequences of polynomials
Keywords: اعداد استرلینگ; 11C08; 05A19; 05A10; 05A17; Connection constants; Persistent sequences of polynomials; Binary paths; Binomial coefficients; Gaussian coefficients; Stirling numbers; Lah numbers; De Morgan numbers; Preferential arrangement numbers; Generalized De Morgan nu
Characterization of rankings generated by linear discriminant analysis
Keywords: اعداد استرلینگ; 62F07; 62H30; Arrangement of hyperplanes; Euclidean preferences; Ideal point model; Linear discriminant analysis; Poincaré polynomial; Polytope; Ranking; Social choice; Stirling numbers; Voronoi polyhedron;
Advanced determinant calculus: A complement
Keywords: اعداد استرلینگ; 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