Keywords: primary; 15A15; secondary; 05A15; 11B83; Hankel determinants; Continued fractions;
مقالات ISI (ترجمه نشده)
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Keywords: Bernoulli numbers of the second kind; Bernoulli polynomials of the second kind; Cauchy numbers; Cauchy polynomials; Convolution identity; 11B83; 11B68; 05A15;
Keywords: primary; 11B83; secondary; 05A15; 11B37; 26A48; 30A99; 33B99; 40A10; 44A10; Multivariate logarithmic polynomial; Generating function; Completely monotonic function; Bernstein function; Integral representation; Lévy-Khintchine representation;
Keywords: primary; 05A10; 05A19; 33C20; secondary; 11B65; 11B83; 11M06; Polygamma function; Integral representation; Logarithmic integral; Riemann zeta function;
Keywords: 11A63; 11T23; 11B83; Finite fields; Prescribed digits; Character sums; Squares; Primitive elements;
Keywords: primary; 11A07; secondary; 05A10; 11B83; Congruences; Binomial coefficients; Harmonic numbers; Polylogarithms; Generating functions;
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: primary; 11D72; 15B48; secondary; 05C50; 05C76; 11D45; 11B83; 05E99; 11D68; 11C20; Arithmetical structures; M-matrices; Edge subdivision; Path; Cycle; Catalan number; Splitting vertices; Merging vertices; Delta-wye transformation; Clique-star transforma
Keywords: 40A25; 11B73; 11B83; 11M06; 05A15; Euler sums; Stirling sums; Bell polynomials; Generating functions; Riemann zeta function;
Keywords: primary; 30C15; 11B83; 41A60; secondary; 11M36; 34K06; Deformed exponential function; Asymptotic expansion; Eisenstein series; Bernoulli numbers;
Keywords: 11B37; 11B83; Non-degenerate linear recurrence sequences; Impulse sequences; Divisibility sequences; Vandermonde determinants;
Keywords: primary; 11B83; secondary; 11B68; Product of primes; Bernoulli polynomials; Denominator; Sum of base-p digits; p-Adic valuation of polynomials;
Keywords: 11B75; 11B83; Harmonic numbers; p-Adic valuation; Asymptotic density; Logarithmic density;
Keywords: 11B83; 5A10; 11B75; Hyperharmonic numbers; Harmonic numbers; Prime number theory;
Keywords: 11B83; 11L07; 11N25Coefficients of cyclotomic polynomials; Products of primes; Numerical semigroups; Double Kloosterman sums
Keywords: 11B83; 11Y05Riesel number; Covering
Keywords: Circulant matrix; Inverse matrix; Chebyshev polynomials; Difference equations15B05; 15A09; 11B83
Keywords: Barnes-type degenerate Euler Polynomials; Bernoulli polynomials; Umbral calculus05A40; 11B83
Keywords: Bernoulli polynomials; Poly-Cauchy polynomials; Degenerate poly-Cauchy polynomials; Umbral calculus; 05A19; 05A40; 11B83;
Keywords: 11B83; 05A10; 11B65Multipartitional polynomials; Derivatives of polynomial sequences of multinomial type; Recursiveness relations
Keywords: Explicit formula; Derivative polynomial; Tangent number; Bernoulli number; Bell polynomial of the second kind; Euler polynomial11B68; 11B83; 33B10; 11C08; 11M06; 26A24,
Keywords: 11B83; 11C08; Inverse ternary cyclotomic polynomial; Height of a polynomial; Flat polynomial;
Keywords: 05A15; 05A40; 11B83; 11C20Determinants; Riordan arrays; Sheffer sequences; Umbral calculus
Some properties of circulant matrices with Ducci sequences
Keywords: 11B83; 15A15; 15A60; Ducci sequence; Circulant matrix; Norm;
On Waring-Goldbach problem with Piatetski-Shapiro primes
Keywords: primary; 11P32; secondary; 11P05; 11P55; 11L03; 11L07; 11L15; 11L20; 11B83; Waring-Goldbach; Piatetski-Shapiro; Circle method; Weyl sums; Exponential sums; van der Corput;
Consecutive primes and Beatty sequences
Keywords: 11N05; 11B83; Primes; Beatty sequence; Consecutive; Heuristics; Hardy-Littlewood;
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;
Some explicit and recursive formulas of the large and little Schröder numbers
Keywords: primary; 11Y55; secondary; 05A15; 11B83; 11R33; 26A48; 30E20; 44A10; 44A15; Explicit formula; Recursive formula; Schröder number; Generating function;
Primefree shifted Lucas sequences of the second kind
Keywords: primary; 11B37; 11B39; secondary; 11B83; Lucas sequences; Primefree; Coverings;
Periodicity in the p-adic valuation of a polynomial
Keywords: primary; 11B83; secondary; 11Y55; 11S05; Valuations; Polynomial sequences; Hensel's lemma; p-Adic integers;
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;
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;
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
Keywords: primary; 05A10; 05A15; 11B37; 11B39; 11B68; 11B83; 11M35; 26C05; 26C10; secondary; 33C05; 34A99; 35A99; Generating functions; Functional equations; Partial differential equations; Hypergeometric functions; Hurwitz-Lerch zeta functions; Apostol-Bernoul
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 supercongruence involving Delannoy numbers and Schröder numbers
Keywords: 11A07; 11B65; 11B83; 05A10Supercongruence; Delannoy numbers; Schröder numbers; Bernoulli numbers
The least prime number in a Beatty sequence
Keywords: 11N13; 11B83; 11K60Prime number; Beatty sequence; Linnik's theorem
Generalized Riordan groups and operators on polynomials
Keywords: 05A40; 11B83; Riordan arrays; Polynomial sequences; Infinite matrices; Functionals on polynomials;
Euler sums of hyperharmonic numbers
Keywords: 11B73; 11B83; 11M99; Riemann zeta function; Hurwitz zeta function; Euler sums; Harmonic and hyperharmonic numbers; Stirling numbers; Beta function;
Piatetski-Shapiro primes in a Beatty sequence
Keywords: 11B83; 11L07; 11N05Beatty sequences; Piatetski-Shapiro primes; Exponential sums
On divisibility of sums of Apéry polynomials
Keywords: primary; 11A07; secondary; 11B65; 11B83; 05A10; Apéry polynomial; q-Lucas congruence;
On symmetric polynomials with only real zeros and nonnegative γ-vectors
Keywords: 05A; 11B37; 11B83; 11C; 11Y55; 26C; 33F; 34A25; Log-concave symmetric unimodal polynomial; Polynomial with only real zeros; Eulerian polynomial; Narayana polynomial; f-Eulerian polynomial; γ-vector; Generalized Stirling number of second kind;
On the closed representation for the inverses of Hessenberg matrices
Keywords: 11B83; 15A09; 15A15; 33C45; 47A10; 65F05General orthogonal polynomials; Hessenberg matrix; Hessenbergian; Inverse matrix; Lower semiseparable (plus diagonal) matrix; Resolvent matrix
On some expansions for the Euler Gamma function and the Riemann Zeta function
Keywords: 11B83; 11M06; Euler Gamma function; Riemann Zeta function; Bell polynomials; Potential polynomials; Mittag-Leffler polynomials; Derivative polynomials;
On perfect and near-perfect numbers
Keywords: 11A25; 11N25; 11B83; Perfect number; Pseudoperfect number; Sum-of-divisors function;
Weighted sums of consecutive values of a polynomial
Keywords: 11A67; 11B50; 11B83; 11P05; Weighted sums; Polynomials; Representation;
A determinantal approach to Appell polynomials
Keywords: 11B83; 65F40Determinant; Polynomial; Appell
Fekete-like polynomials
Keywords: 11J54; 11B83; 12-04Fekete polynomial; ±1 coefficients; Turyn polynomials; Littlewood polynomials
Bounds for the maximal height of divisors of xn−1xn−1
Keywords: 11B83; 11C08; 11N56Cyclotomic polynomial; Heights of polynomials; Ternary cyclotomic polynomial
Logarithmic behavior of some combinatorial sequences
Keywords: 05A20; 05A16; 05E35; 11B83; 11B37; 11B39; 11B68Log-concavity; Log-convexity; Integer sequences; Catalan numbers; Motzkin numbers; Bell numbers; Secondary structures; Orthogonal polynomials
Some remarks on a paper by L. Carlitz
Keywords: primary 33A65; 11B83; secondary 46E39Sheffer polynomials; Favard's theorem; Sobolev orthogonal polynomials; Generating functions; Hypergeometric polynomials; Special functions