Keywords: Trinomial coefficient; Linear recurrence sequence; Chebyshev polynomial; Primary 11B65; Secondary 05A10; 05A19; 11B37; 11B39; 11A07;
مقالات ISI (ترجمه نشده)
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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: 11D09; 11D45; 11B37; 11J86; Diophantine m-tuple; Pell equation; Linear forms in logarithms;
Keywords: 11B37; 11B83; Non-degenerate linear recurrence sequences; Impulse sequences; Divisibility sequences; Vandermonde determinants;
Keywords: Automatic sequence; Regular sequence; Morphism; Countable states automaton; Linear recurrence; Primary: 11B85; Secondary: 68R15; 11B37;
Keywords: primary; 11B37; secondary; 11A07; 11N25; Linear recurrence; Divisibility;
Keywords: 11B37; 11B68; 11M06; 11M35; Bernoulli numbers and polynomials; Recurrence relations; Saalschütz-Gelfand's formula; Von Ettingshausen-Stern's formula; Riemann zeta-function; Dirichlet L-series;
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: 11B37; 11B39Cryptography; Gopala–Hemachandra code; Fibonacci representation
Keywords: 11B37; 11B39; Integer sequences; Unique representations;
A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences
Keywords: 11N69; 11B37; 11D59; Artin's conjecture; Recurrence sequences; Thue equation;
A new condition equivalent to the Ankeny-Artin-Chowla conjecture
Keywords: primary; 11B39; secondary; 11R27; 11R11; 11B37; 11B68; Ankeny-Artin-Chowla conjecture; Fundamental unit; Lucas polynomial;
The moments of the logarithm of a G.C.D. related to Lucas sequences
Keywords: primary; 11B37; secondary; 11B39; Greatest common divisor; Lucas sequences; Moments;
The continued fraction expansion of certain Pierce series
Keywords: primary; 11J70; secondary; 11B37; 11J81; Continued fractions; Pierce series; Transcendental numbers;
On the equation Vn=wx2â1
Keywords: 11B37; 11B39; 11B50; 11B99; 11D41; Lucas sequence of the second kind; Congruences; Diophantine equations;
Primefree shifted Lucas sequences of the second kind
Keywords: primary; 11B37; 11B39; secondary; 11B83; Lucas sequences; Primefree; Coverings;
Power series approximations to Fekete polynomials
Keywords: primary; 11C08; 13F25; secondary; 11B37; 11L40; Fekete polynomial; Legendre symbol; Algebraic function; Polynomial recurrences;
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
A new companion to Capparelli's identities
Keywords: 05A15; 05A17; 05A20; 11B34; 11B37; 11P83Capparelli's identity; Integer partitions; q-binomial identities; Partition identities; Partition inequalities
Hankel determinant solution for elliptic sequence
Keywords: 37K10; 11B37; 11B83Elliptic sequence; Elliptic curve; Hankel determinant; Somos sequence
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;
Newton’s method and high-order algorithms for the nth root computation
Keywords: 65-01; 11B37; 65B99; 65D99; 65H05nnth root; Newton’s method; High-order method
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
Singularity confinement for maps with the Laurent property
Keywords: 11B37; 93C10; 93C55
The generalized order-k Fibonacci–Pell sequence by matrix methods
Keywords: 11B37; 11C20; 15A18; 05A15Generalized Fibonacci and Pell number; Sums; Generating function; Matrix methods
Second-order bounds for linear recurrences with negative coefficients
Keywords: 39A10; 30B10; 15A45; 15A24; 11B37; 65Q05; Recurrence; Restricted coefficients; Negative coefficients; Power series; Triangular matrices; Fibonacci polynomials;
Self-generating sets, integers with missing blocks, and substitutions
Keywords: 11B37; 11B85; 11A63; 68R15; Kimberling sequence; Self-generating sets; Morphic sequences; Automatic sequences; Fibonacci sequence; Thue-Morse sequence; Lazy Fibonacci expansion; Integers with missing blocks;
Polynomials generated by a three term recurrence relation: bounds for complex zeros
Keywords: 11B37; 15A18; 33C47; Three term recurrence relations; Eigenvalue problems; Zeros of polynomials;