Keywords: عملکرد گاما; Multinomial probability; Complete monotonicity; Gamma function; Combinatorial inequalities; Bernstein polynomials; Simplex;
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Keywords: عملکرد گاما; Continued fraction; Approximation; Gamma function; Inequalities; Multiple-correction method;
Keywords: عملکرد گاما; Comparison theorem; Completely monotonic function; Gamma function; Psi function; Polygamma function; Functional inequality;
Keywords: عملکرد گاما; Wallis ratio; Gamma function; Inequalities; Multiple-correction method;
Keywords: عملکرد گاما; Gamma function; Volume of the unit ball; Asymptotic series; Approximations and estimates; Two-sided inequalities34E05; 41A60; 33B15; 26D15
Keywords: عملکرد گاما; Dromedary; Saudi Arabia; Gamma function; Milk yield; Lactation curve
Keywords: عملکرد گاما; Gamma function; Psi function; Inequalities; Asymptotic expansions; Bernoulli polynomials; Complete monotonicity
Keywords: عملکرد گاما; Gamma function; Asymptotic expansion; Inequality; Primary 33B15; Secondary 41A60; 26D15;
Keywords: عملکرد گاما; Hyperbolic function; Bernoulli number; Gamma function; Psi function; Complete monotonicity
Keywords: عملکرد گاما; 33B15; 41A60Approximations; Gamma function; Bell polynomials
Keywords: عملکرد گاما; Gamma function; Identity; Ratio of gamma functions; Mellin series; Integer partitions; Maclaurin series;
Keywords: عملکرد گاما; Hypergeometric polynomials; Linearization relations; Integral representations; Jacobi polynomials; Konhauser polynomials; Generalized Sister Celine’s polynomials; Gamma function; Eulerian beta integral33C45; 33C65
Keywords: عملکرد گاما; Gamma function; Completely monotonic functions; Asymptotic expansion; Inequality
Keywords: عملکرد گاما; Stirling’s formula; Gamma function; Bivariate mean; Factorial33B15; 26E60; 33F05; 26D07
Keywords: عملکرد گاما; Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions; Inequality
Keywords: عملکرد گاما; 11B85; 11A63; 11J81; 33B15; 68R15Infinite products; Closed formulas; Paperfolding sequence; Gamma function; Rohrlich conjecture
Keywords: عملکرد گاما; Gamma function; Series expansion; Stirling’s formula; Complete monotonicity and strongly complete monotonicity
Keywords: عملکرد گاما; Gamma function; Psi function; Completely monotone function; Inequality
Keywords: عملکرد گاما; Gamma function; Wallis ratio; Inequalities; Approximations; Asymptotic series; Complete monotonicity
Keywords: عملکرد گاما; Constants of Landau and Lebesgue; Gamma function; Psi function; Inequality; Asymptotic expansion; Stirling numbers of the second kind
Keywords: عملکرد گاما; Hilbert-type integral inequality; Weight function; Equivalent form; Hilbert-type integral operator; Gamma function;
Keywords: عملکرد گاما; Hermite-Hadamard inequality; Fractional integral; Convex function; Gamma function; Beta function;
Keywords: عملکرد گاما; Asymptotic expansion; Integral mean; Gamma function; Wallis ratio; Digamma function
Keywords: عملکرد گاما; Polynomial stability; Nonlinear SDEs; Euler-type method; Gamma function; Numerical reproduction;
Keywords: عملکرد گاما; Constants of Landau and Lebesgue; Gamma function; Psi function; Polygamma functions; Inequality; Asymptotic expansion
Keywords: عملکرد گاما; 60G51; 44A10; Subordinator; Kendall identity; Explicit transition density; Laplace transform identity; Bessel functions; Lambert W-function; Gamma function; Complete monotonicity; Generalized gamma convolutions;
Keywords: عملکرد گاما; primary, 26D15; secondary, 33B15Constants of Landau and Lebesgue; Gamma function; Psi function; Asymptotic expansion; Stirling numbers of the second kind; Bernoulli numbers and polynomials; Bell polynomials; Partition function
Keywords: عملکرد گاما; Gamma function; Inequalities;
Keywords: عملکرد گاما; Stirling formula; Burnside formula; Gosper formula; Ramanujan formula; Rate of convergence; Gamma function;
Keywords: عملکرد گاما; primary; 33B15; secondary; 39B62; Euler's constant; Gamma function; Functional inequalities;
Keywords: عملکرد گاما; Gamma function; Bayesian analysis; Superstatistics; Tsallis statistics;
Keywords: عملکرد گاما; Gamma function; Psi function; Euler–Mascheroni constant; Asymptotic expansion; Wallis sequence
Complete asymptotic expansions for the density function of t-distribution
Keywords: عملکرد گاما; primary; 62E17; secondary; 41A60; Gamma function; t-distribution; Asymptotic expansion;
Infinite products involving Dirichlet characters and cyclotomic polynomials
Keywords: عملکرد گاما; 33B15; 11M32; Infinite product; Gamma function; Multiple L-series; Cyclotomic polynomial;
Evaluation of nonterminating F23(34)-series
Keywords: عملکرد گاما; Abel's lemma on summation by parts; Classical hypergeometric series; Gamma function; Saddle point method;
Sums of averages of generalized Ramanujan sums
Keywords: عملکرد گاما; 11A25; 11N37; 11P99; gcd-sum functions; Ramanujan sums; Euler totient function; Dedekind totient function; Bernoulli polynomials; Gamma function; Asymptotic results on arithmetical functions;
Inequalities and asymptotic expansions for the gamma function related to Mortici's formula
Keywords: عملکرد گاما; primary; 33B15; secondary; 41A60; Gamma function; Asymptotic formula; Bernoulli numbers; Fundamental theorem of algebra; Newton's formulas;
On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas
Keywords: عملکرد گاما; Gamma function; Asymptotic expansion; Inequality; 33B15; 41A60; 26D15;
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: عملکرد گاما; Gamma function; Polygamma functions; Stirling numbers; Factorial coefficients; Gregory's coefficients; Cauchy numbers
Some new asymptotic approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula
Keywords: عملکرد گاما; Gamma function; Nemes’ formula; Ramanujan’s formula; Burnside’s formula; Asymptotic approximations; Rate of convergence
Estimates of the function and quotient by Minc–Sathre
Keywords: عملکرد گاما; Minc–Sathre quotient; Gamma function; Factorial function; Asymptotic formulas; Inequalities; Approximations
Sharp bounds for psi function
Keywords: عملکرد گاما; Gamma function; Psi function; Monotonicity33B15
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions
Keywords: عملکرد گاما; Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions; Primary 33B15; Secondary 41A60; 26A48;
Inequalities and asymptotic expansions associated with the Ramanujan and Nemes formulas for the gamma function
Keywords: عملکرد گاما; Gamma function; Inequality; Asymptotic expansionPrimary 33B15; Secondary 41A60; 26D07
A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations
Keywords: عملکرد گاما; Stieltjes constants; Generalized Euler's constants; Special constants; Number theory; Zeta function; Gamma function; Digamma function; Psi function; Malmsten; Rational arguments; Logarithmic integrals; Logarithmic series; Complex analysis; Orthogonal expa
On Stirling's formula remainder
Keywords: عملکرد گاما; Gamma function; Psi function; Completely monotonic functions; Stirling's formula; Remainder in the Stirling formula; Estimates;
Asymptotic expansions for Barnes G-function
Keywords: عملکرد گاما; primary; 33B15; secondary; 41A60; Gamma function; Barnes G-function; Bernoulli numbers; Asymptotic expansion;
Asymptotic expansions of the gamma function related to Windschitl's formula
Keywords: عملکرد گاما; Gamma function; Windschitl's formula; Asymptotic expansion;
Sharp bounds for gamma function in terms of xx-1
Keywords: عملکرد گاما; Gamma function; Inequalities; Series; Asymptotic series; Approximations; Complete monotonicity;
Continuous Sheffer families II
Keywords: عملکرد گاما; Convolution semigroup; Locally convex algebra; Special function; Mellin transform; Gamma function; Sheffer family; Appell family;