Keywords: تابع چندگاما; Comparison theorem; Completely monotonic function; Gamma function; Psi function; Polygamma function; Functional inequality;
مقالات ISI تابع چندگاما (ترجمه نشده)
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Keywords: تابع چندگاما; primary; 05A10; 05A19; 33C20; secondary; 11B65; 11B83; 11M06; Polygamma function; Integral representation; Logarithmic integral; Riemann zeta function;
Keywords: تابع چندگاما; 11B68; 11C20; 11M06; Bernoulli number; Bernoulli polynomial; Riemann zeta function; Euler number; Euler polynomial; Alternating zeta function; Double zeta values; Hurwitz zeta function; Lerch zeta function; Polygamma function; Ramanujan polynomial; Bernou
Keywords: تابع چندگاما; 33B15; 33B20; 33D05Gamma function; Polygamma function; Incomplete gamma function; Digamma function; Neutrix calculus
Logarithmically completely monotonic functions and applications
Keywords: تابع چندگاما; Completely monotonic function; Logarithmically completely monotonic function; Gamma function; Psi (or digamma) function; Polygamma function; Inequalities; Identric (or exponential) mean; Applications;
On generalized harmonic number sums
Keywords: تابع چندگاما; Generalized harmonic number; Polygamma function; Polylogarithm function;
Complete monotonicity of some functions involving polygamma functions
Keywords: تابع چندگاما; 26A48; 26A51; 26D20; 33B10; 33B15; 44A10Monotonicity; Completely monotonic function; Polygamma function; Infinite series; Bernoulli numbers
An efficient algorithm for the Hurwitz zeta and related functions
Keywords: تابع چندگاما; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Algorithm; Integral representation; Generalized harmonic numbers; Stieltjes constants;
Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
Keywords: تابع چندگاما; Logarithmically completely monotonic function; Gamma function; Psi function; Polygamma function; Sufficient and necessary condition; Supplements; KeÄkiÄ-VasiÄ type inequality;
A new upper bound in the second Kershaw's double inequality and its generalizations
Keywords: تابع چندگاما; 26D07; 26D20; 33B15Kershaw's double inequality; Ratio of gamma functions; Psi function; Polygamma function; Divided difference; Upper bound; Refinement; Extension; Generalization; Identric mean; Exponential mean; Generalized logarithmic mean; Completely m
On some series representations of the Hurwitz zeta function
Keywords: تابع چندگاما; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Series representation; Integral representation; Generalized harmonic numbers;
Wendel's and Gautschi's inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions
Keywords: تابع چندگاما; Sufficient and necessary condition; Logarithmically completely monotonic function; Inequality; Ratio of gamma functions; Elementary function involving the exponential function; Psi function; Polygamma function; Monotonicity; Refinement; Sharpening; Extens
Some generalizations of the Laplace distribution
Keywords: تابع چندگاما; Laplace distribution; Digamma function; Exponential distribution; Exponentiated exponential distribution; Beta function; Polygamma function; Incomplete beta function; Zeta function; Euler-Mascheroni constant;
Some completely monotonic functions involving polygamma functions and an application
Keywords: تابع چندگاما; Completely monotonic function; Gamma function; Psi function; Polygamma function; Harmonic number; Harmonic sequence;
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Keywords: تابع چندگاما; 33B; 33E; 11M; Gamma function; Digamma function; Polygamma function; Riemann zeta function; Clausen function; Euler sums; Harmonic numbers; Hurwitz zeta function; Hypergeometric function; Dilogarithm function; Trilogarithm function; Polylogarithm function