Keywords: ضرایب دوجمله ای; primary; 33E20; 11B73; secondary; 11M32; Log-sine integral; Combinatorics; Bell polynomial; Riemann zeta function; Harmonic numbers; Binomial coefficients;
مقالات ISI ضرایب دوجمله ای (ترجمه نشده)
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Keywords: ضرایب دوجمله ای; primary; 11B65; secondary; 05A10; Binomial coefficients; p-adic valuation; Lucas' theorem; Euler's totient theorem; Bernoulli numbers;
Keywords: ضرایب دوجمله ای; primary; 11B65; 05A16; secondary; 11A63; 11B50; Binomial coefficients; Central limit law; Divisibility by powers of primes; Multivariate asymptotics of generating functions;
Keywords: ضرایب دوجمله ای; primary; 11A07; secondary; 05A10; 11B83; Congruences; Binomial coefficients; Harmonic numbers; Polylogarithms; Generating functions;
Keywords: ضرایب دوجمله ای; Catalan numbers; Combinatorial identities; Binomial coefficients; Catalan triangle;
Keywords: ضرایب دوجمله ای; Binomial coefficients; Subset sum problem; Diophantine equations;
Keywords: ضرایب دوجمله ای; Binomial coefficients; Subword; Farey tree; Regular sequences; Fibonacci numeration system;
Keywords: ضرایب دوجمله ای; 11A07; 11B65; 05A10Congruence; Binomial coefficients; Gaussian binomial coefficients; q-Series; Cyclotomic polynomials
Keywords: ضرایب دوجمله ای; primary; 11A05; 11A07; secondary; 05A10; 11B65; Binomial coefficients; Divisibility; WZ method;
Keywords: ضرایب دوجمله ای; primary, 05A10, 05A19, 33C20; secondary, 11B65, 11B83, 11M06Combinatorial series identities; Summation formulas; Partial fraction approach; Alternating harmonic numbers; Binomial coefficients; Polylogarithm function
Keywords: ضرایب دوجمله ای; Fibonacci number; Lucas number; Generalized Fibonacci number; Binomial coefficients;
Keywords: ضرایب دوجمله ای; Binomial coefficients; Combinatorial identities; Integral representations; Series; Apéry constant; Catalan constant; Reciprocal binomial sums;
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
Keywords: ضرایب دوجمله ای; 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
Supercongruences involving dual sequences
Keywords: ضرایب دوجمله ای; primary; 11A07; 11B65; secondary; 05A10; 05A19; 11B68; 11B75; p-adic congruences; Binomial coefficients; Combinatorial identities; Dual sequences;
Proof of a conjecture of Mircea Merca
Keywords: ضرایب دوجمله ای; 05A10; 05A19; Multinomial coefficients; Binomial coefficients; Fine's formula;
Proof of a conjectural supercongruence
Keywords: ضرایب دوجمله ای; primary, 11A07; secondary, 05A10, 11B65p-adic congruences; Binomial coefficients
Supercongruences motivated by e
Keywords: ضرایب دوجمله ای; primary; 11B65; secondary; 05A10; 11A07; 11B68; Supercongruences; Binomial coefficients; Bernoulli numbers;
Binomial coefficients and powers of large tridiagonal matrices with constant diagonals
Keywords: ضرایب دوجمله ای; Tridiagonal matrices; Powers of matrices; Binomial coefficients;
A combinatorial approach to a general two-term recurrence
Keywords: ضرایب دوجمله ای; Recurrence; Stirling numbers; Binomial coefficients; Combinatorial proof
Congruences for Franel numbers
Keywords: ضرایب دوجمله ای; primary, 11A07, 11B65; secondary, 05A10, 11B37, 11B75Franel numbers; Apéry numbers; Binomial coefficients; Congruences
Congruences for central binomial sums and finite polylogarithms
Keywords: ضرایب دوجمله ای; Congruences; Bernoulli numbers; Binomial coefficients; Polylogarithm; Finite sums
Generating functions for a certain class of incomplete hypergeometric polynomials
Keywords: ضرایب دوجمله ای; Gamma function; Incomplete Gamma functions; Pochhammer symbol; Incomplete Pochhammer symbols; Incomplete hypergeometric functions; Incomplete hypergeometric polynomials; Binomial coefficients; Generating functions
On sums of Apéry polynomials and related congruences
Keywords: ضرایب دوجمله ای; primary, 11A07, 11B65; secondary, 05A10, 11B68, 11E25Apéry numbers and Apéry polynomials; Bernoulli numbers; Binomial coefficients; Congruences
Analytical evaluation of the thermionic emission probability for semiconductor-insulator interfaces using incomplete gamma functions
Keywords: ضرایب دوجمله ای; Semiconductors devices; Charge carrier emission; Binomial coefficients; Gamma functions;
The Grünwald–Letnikov method for fractional differential equations
Keywords: ضرایب دوجمله ای; Fractional derivatives; Fractional differential equations; Grünwald–Letnikov approximation; Difference methods; Binomial coefficients; Stability
On the properties of Lucas numbers with binomial coefficients
Keywords: ضرایب دوجمله ای; Lucas numbers; Fibonacci numbers; Binomial coefficients
Moments of combinatorial and Catalan numbers
Keywords: ضرایب دوجمله ای; Catalan numbers; Combinatorial identities; Binomial coefficients
Integral forms of sums associated with harmonic numbers
Keywords: ضرایب دوجمله ای; Integral representations; Binomial coefficients; Identities; Harmonic numbers
On the evaluation of Bernoulli numbers using binomial coefficients
Keywords: ضرایب دوجمله ای; Mössbauer spectroscopy; Radiative heat transfer; Debye temperature; Bernoulli numbers; Binomial coefficients; Bloch-Gruneisen integrals;
On the rational recursive sequence yn=A+yn−1yn−m for small AA
Keywords: ضرایب دوجمله ای; Rational difference equation; Periodicity; Existence; Binomial coefficients; Fixed point
Analytical evaluation of cylindrical exponential integrals arising in radiative transfer
Keywords: ضرایب دوجمله ای; Two-dimensional radiative transfer; Cylindrical medium; Binomial coefficients; Special functions;
Properties of generalized Levinson-Durbin-Whittle sequences
Keywords: ضرایب دوجمله ای; 62M10; Levinson-Durbin-Whittle sequence; Generalized Levinson-Durbin-Whittle sequence; Binomial coefficients; Time-reversible process;
Negation of binomial coefficients
Keywords: ضرایب دوجمله ای; Binomial coefficients; Negation of binomial coefficients; Extended Pascal triangle
New identities in the Catalan triangle
Keywords: ضرایب دوجمله ای; Catalan numbers; Combinatorial identities; Binomial coefficients
On recurrences for sums of powers of binomial coefficients
Keywords: ضرایب دوجمله ای; Binomial coefficients; Congruence; Recurrence
On the evaluation of rectangular plane-extended sources and their associated radiation fields
Keywords: ضرایب دوجمله ای; Rectangular source integral; Radiation field; Binomial coefficients; Exoenergetic nuclear reaction; Fast neutron generation; Extended emitters of fast neutrons; Ion accelerator
Evaluation of the generalized Goodwin-Staton integral using binomial expansion theorem
Keywords: ضرایب دوجمله ای; Goodwin-Staton integral; Binomial coefficients;
Exact analytical expressions and numerical analysis of two-center Franck–Condon factors and matrix elements over displaced harmonic oscillator wave functions
Keywords: ضرایب دوجمله ای; 33.70.Ca; 31.15.-p; 02.60.-x; 32.30.-rFranck–Condon factors; Harmonic oscillator wave functions; Overlap integrals; Binomial coefficients; Hermite polynomials
A new algorithm for evaluation of the simplified gamma-ray shielding formulas
Keywords: ضرایب دوجمله ای; Gamma-ray shielding; Surface sources; Volume sources; Binomial coefficients
Formulas for the drazin inverse of special block matrices
Keywords: ضرایب دوجمله ای; Drazin inverse; Block matrix; Binomial coefficients;
Calculation of generalized elliptic type integrals using the binomial expansion theorem
Keywords: ضرایب دوجمله ای; Radiation field; Elliptic-type integrals; Binomial coefficients;
Arithmetical properties of wendt's determinant
Keywords: ضرایب دوجمله ای; 11C20; 11B65; 11A07; 11R18; Wendt's determinant; Binomial coefficients; Resultants; Cyclotomic fields;
k-th order symmetric SAC boolean functions and bisecting binomial coefficients
Keywords: ضرایب دوجمله ای; Boolean function; Strict Avalanche; Criterion; Cryptography; Symmetry; Binomial coefficients;
A combinatorial interpretation of the connection constants for persistent sequences of polynomials
Keywords: ضرایب دوجمله ای; 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
Rook numbers and the normal ordering problem
Keywords: ضرایب دوجمله ای; Primary 05A10; 05A30; secondary 12H05; Rook numbers; Normal ordering problem; Rook factorization theorem; Differential operators; Binomial coefficients; Continued fractions;
Representations of the Drazin inverse for a class of block matrices
Keywords: ضرایب دوجمله ای; primary 15A09; Drazin inverse; Index; Binomial coefficients; Block matrix;
Quasiinvariants of S3
Keywords: ضرایب دوجمله ای; primary 05E10; 20C30; secondary 05A10; 15A15; m-quasiinvariants; Symmetric group; Symmetric functions; Determinant evaluations; Binomial coefficients; Non-intersecting lattice paths;
General inequalities, consequences and applications
Keywords: ضرایب دوجمله ای; General inequalities; Binomial coefficients; Gamma function; Beta function; Convolutions; Combinatorial inequalities; Bi-hermitian forms; Fractional integrals; Integral transformations; Hypergeometric series; Confluent hypergeometric functions; Positive d