Keywords: اعداد هارمونیک; primary; 33E20; 11B73; secondary; 11M32; Log-sine integral; Combinatorics; Bell polynomial; Riemann zeta function; Harmonic numbers; Binomial coefficients;
مقالات ISI اعداد هارمونیک (ترجمه نشده)
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در صورتی که به ترجمه آماده هر یک از مقالات زیر نیاز داشته باشید، می توانید سفارش دهید تا مترجمان با تجربه این مجموعه در اسرع وقت آن را برای شما ترجمه نمایند.
Keywords: اعداد هارمونیک; primary; 11A07; secondary; 05A10; 11B83; Congruences; Binomial coefficients; Harmonic numbers; Polylogarithms; Generating functions;
Keywords: اعداد هارمونیک; Harmonic numbers; Stirling numbers; Euler sums; Riemann zeta function; Multiple harmonic (star) numbers; Multiple zeta (star) values;
Keywords: اعداد هارمونیک; 11B75; 11B83; Harmonic numbers; p-Adic valuation; Asymptotic density; Logarithmic density;
Keywords: اعداد هارمونیک; 11M06; 11M32; 33B99; 33E20; 40A05; Tornheim type series; Harmonic numbers; Polylogarithm function; Euler sums; Riemann zeta function;
Keywords: اعداد هارمونیک; 11B83; 5A10; 11B75; Hyperharmonic numbers; Harmonic numbers; Prime number theory;
Keywords: اعداد هارمونیک; Polylogarithm function; Euler sums; Riemann zeta function; Harmonic numbers
Proof of two conjectural supercongruences involving Catalan-Larcombe-French numbers
Keywords: اعداد هارمونیک; primary; 11B65; 11B68; secondary; 05A10; 11A07; Central binomial coefficients; Supercongruence; Harmonic numbers;
A Saalschütz-type identity and summation formulae involving generalized harmonic numbers
Keywords: اعداد هارمونیک; A Saalschütz-type identity; Derivative operator; Integral operator; Harmonic numbers;
On the Ramanujan-Lodge harmonic number expansion
Keywords: اعداد هارمونیک; Harmonic numbers; Bernoulli numbers; Asymptotic expansion; Rate of convergence; Approximations; Inequalities;
Estimations of psi function and harmonic numbers
Keywords: اعداد هارمونیک; Asymptotic expansion; Digamma function; Euler constant; Harmonic numbers; Exponential function; Approximation;
The p-adic Arakawa–Kaneko zeta functions and p-adic Lerch transcendent
Keywords: اعداد هارمونیک; Arakawa–Kaneko zeta functions; Lerch transcendent; Hurwitz zeta function; Harmonic numbers; Poly-Bernoulli polynomials; p-adic analysis
q-Analogues of multiparameter non-central Stirling and generalized harmonic numbers
Keywords: اعداد هارمونیک; Stirling numbers; q-Stirling numbers; Multiparameter non-central Stirling numbers; Comtet numbers; q-Analogue; Harmonic numbers; Generalized q-harmonic numbers;
Limits and inequalities associated with the Euler-Mascheroni constant
Keywords: اعداد هارمونیک; Euler-Mascheroni constant; Harmonic numbers; Inequality; Psi function; Polygamma functions; Asymptotic expansion;
Approximants of the Euler–Mascheroni constant and harmonic numbers
Keywords: اعداد هارمونیک; Euler–Mascheroni constant; Harmonic numbers; Asymptotic expansion; Digamma function
Harmonic numbers, Catalan’s triangle and mesh patterns
Keywords: اعداد هارمونیک; Mesh patterns; Distribution; Harmonic numbers; Catalan’s triangle; Generalized Stirling numbers; Bijection
Complete monotonicity results for some functions involving the gamma and polygamma functions
Keywords: اعداد هارمونیک; Gamma function; Complete monotonicity; Digamma function; Polygamma functions; Stirling formula; Harmonic numbers
Certain summation formulas involving harmonic numbers and generalized harmonic numbers
Keywords: اعداد هارمونیک; Harmonic numbers; Generalized harmonic numbers; Riemann Zeta function, Hurwitz Zeta function; Stirling numbers of the first kind; Generalized hypergeometric function pFq; Summation formulas for pFq; Psi-function; Polygamma functions
Some summation formulas involving harmonic numbers and generalized harmonic numbers
Keywords: اعداد هارمونیک; Harmonic numbers; Generalized harmonic numbers; Riemann Zeta function; Hurwitz Zeta function; Stirling numbers of the first kind; Generalized hypergeometric function pFqpFq; Summation formulas for pFqpFq; Psi function; Polygamma functions
The Dattoli–Srivastava conjectures concerning generating functions involving the harmonic numbers
Keywords: اعداد هارمونیک; Harmonic numbers; Digamma function; Generating function; Entire exponential integral; Complementary incomplete gamma function; Exponential integral; Generalized hypergeometric function; Bessel function
Inequalities for the Euler–Mascheroni constant
Keywords: اعداد هارمونیک; Euler’s constant; Harmonic numbers; Inequality; Psi function; Asymptotic expansion
Monotonicity properties of functions related to the psi function
Keywords: اعداد هارمونیک; Psi function; Euler's constant; Harmonic numbers; Inequality; Asymptotic expansion;
Riordan arrays and harmonic number identities
Keywords: اعداد هارمونیک; Riordan arrays; Harmonic numbers; Stirling numbers; Lah numbers; Bernoulli numbers and polynomials; Cauchy numbers
Integral forms of sums associated with harmonic numbers
Keywords: اعداد هارمونیک; Integral representations; Binomial coefficients; Identities; Harmonic numbers
Sums of products of Cauchy numbers
Keywords: اعداد هارمونیک; Cauchy numbers; Stirling numbers; Harmonic numbers; Lah numbers; Generating functions; Recurrence relations; Asymptotic expansion
A note on harmonic numbers, umbral calculus and generating functions
Keywords: اعداد هارمونیک; Umbral calculus; Operational identities; Generating functions; Monomiality principle; Harmonic numbers; Laguerre polynomials; Kampé de Fériet polynomials; Bessel function; Gaussian identity
On k-th record times, record values and their moments
Keywords: اعداد هارمونیک; k-th record values; Stirling numbers of the first kind; Moments; Incomplete gamma and Polygamma functions; Zeta function; Harmonic numbers;
Several polynomials associated with the harmonic numbers
Keywords: اعداد هارمونیک; Harmonic numbers; Riordan array; Bernoulli polynomials; Harmonic polynomials; Generalized Stirling polynomials; Multiple gamma functions; Cauchy numbers; Nörlund polynomials
Certain families of series associated with the Hurwitz-Lerch Zeta function
Keywords: اعداد هارمونیک; Multiple Gamma functions; Riemann Zeta function; Generalized (or Hurwitz) Zeta function; Hurwitz-Lerch Zeta function; Psi (or Digamma) function; Determinants of Laplacians; Harmonic numbers; Series identities; Summation formulas;
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Keywords: اعداد هارمونیک; 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