Keywords: تابع Hurwitz zeta; 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
مقالات ISI تابع Hurwitz zeta (ترجمه نشده)
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Keywords: تابع Hurwitz zeta; Integral representation; Hypergeometric functions; Lerch transcendent; Hurwitz zeta function; Partial fraction approach; Harmonic number;
Keywords: تابع Hurwitz zeta; Harmonic number; Euler sum; Riemann zeta function; Hurwitz zeta function;
Keywords: تابع Hurwitz zeta; Integral transform; Trigonometric functions; Hyperbolic functions; Central binomial coefficient; Catalanʼs constant; Geometric rate of convergence; L-functions; Riemann zeta function; Hurwitz zeta function; Bernoulli polynomials; Bernoulli numbers;
Keywords: تابع Hurwitz zeta; 11M35; 30E15Lerch's transcendent; Hurwitz zeta function; Polylogarithms
Limit formulas for multiple Hurwitz zeta functions
Keywords: تابع Hurwitz zeta; 14G10; Hurwitz zeta function; Absolute zeta function; Limit formula; Euler constant;
Asymptotics to all orders of the Hurwitz zeta function
Keywords: تابع Hurwitz zeta; Hurwitz zeta function; Asymptotic series;
A new analytical modelling for nonlocal generalized Riesz fractional sine-Gordon equation
Keywords: تابع Hurwitz zeta; Modified decomposition method with Fourier transform (MDM-FT); Riesz space fractional derivative; Nonlocal sine-Gordon equation; Hurwitz zeta function; Riemann zeta function; Generalized zeta function
Analytic continuation and asymptotics of Dirichlet series with partitions
Keywords: تابع Hurwitz zeta; Analytic continuation; Singularity; Partitions; Dirichlet series; Hurwitz zeta function; Mean value
Koshliakov kernel and identities involving the Riemann zeta function
Keywords: تابع Hurwitz zeta; Riemann zeta function; Hurwitz zeta function; Bessel functions; Koshliakov
A non-recursive formula for the higher derivatives of the Hurwitz zeta function
Keywords: تابع Hurwitz zeta; Hurwitz zeta function; Asymptotic formula; Stieltjes coefficients
Euler sums of hyperharmonic numbers
Keywords: تابع Hurwitz zeta; 11B73; 11B83; 11M99; Riemann zeta function; Hurwitz zeta function; Euler sums; Harmonic and hyperharmonic numbers; Stirling numbers; Beta function;
Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series
Keywords: تابع Hurwitz zeta; Incomplete gamma function; Lerch transcendent function; Hurwitz zeta function; Dirichlet L-series; Polylogarithms; Character polylogarithms
The p-adic Arakawa–Kaneko zeta functions and p-adic Lerch transcendent
Keywords: تابع Hurwitz zeta; Arakawa–Kaneko zeta functions; Lerch transcendent; Hurwitz zeta function; Harmonic numbers; Poly-Bernoulli polynomials; p-adic analysis
On asymptotics of the q-exponential and q-gamma functions
Keywords: تابع Hurwitz zeta; Riemann zeta function; Hurwitz zeta function; Eulerʼs gamma function; Eulerʼs q-exponential function; Jacksonʼs q-gamma function
Symmetries of Bernoulli polynomial series and Arakawa–Kaneko zeta functions
Keywords: تابع Hurwitz zeta; Barnes zeta functions; Hurwitz zeta function; Arakawa–Kaneko zeta functions; Poly-Bernoulli polynomials; Bernoulli polynomials; Euler sums
Some infinite sums arising from the Weierstrass product theorem
Keywords: تابع Hurwitz zeta; Digamma function; Trigamma function; Hurwitz zeta function; Prime zeta function; Generalized harmonic numbers; Weierstrass product theorem
Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
Keywords: تابع Hurwitz zeta; Discrete Fourier transform; Alternating zeta functions; Hurwitz-Lerch zeta function; Lipschitz-Lerch zeta function; Lerch zeta function; Hurwitz zeta function; Legendre chi function; Bernoulli polynomials;
On the interpolation of discontinuous functions
Keywords: تابع Hurwitz zeta; Interpolation; Discontinuous functions; Statistical convergence; Lerch zeta function; Hurwitz zeta function
Some summation formulas involving harmonic numbers and generalized harmonic numbers
Keywords: تابع Hurwitz zeta; 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
Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
Keywords: تابع Hurwitz zeta; Trigonometric and exponential sums; Hurwitz zeta function; Lerch zeta function; Riemann zeta function; Legendre chi function; Discrete Fourier transform; Bernoulli polynomials and numbers; Eisenstein summation formula; Wang sums; Williams–Zhang sums
Closed-form formulae for the derivatives of trigonometric functions at rational multiples of ππ
Keywords: تابع Hurwitz zeta; Trigonometric functions; Hurwitz zeta function; Legendre chi function; Lerch zeta function; Bernoulli polynomials; Euler polynomials
Some discrete Fourier transform pairs associated with the Lipschitz–Lerch Zeta function
Keywords: تابع Hurwitz zeta; Hurwitz–Lerch Zeta function; Lipschitz–Lerch Zeta function; Lerch Zeta function; Hurwitz Zeta function; Riemann Zeta function; Legendre chi function; Bernoulli polynomials; Bernoulli numbers; Discrete Fourier transform
Values of the derivatives of the cotangent at rational multiples of π
Keywords: تابع Hurwitz zeta; Cotangent function; Simpson’s series multisection formula; Bernoulli polynomials; Bernoulli numbers; Hurwitz zeta function; Polylogarithm
An efficient algorithm for the Hurwitz zeta and related functions
Keywords: تابع Hurwitz zeta; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Algorithm; Integral representation; Generalized harmonic numbers; Stieltjes constants;
The q-gamma and (q,q)-polygamma functions of Tsallis statistics
Keywords: تابع Hurwitz zeta; 02.30.-f; 02.30.Gp; 02.50.Cw; 05.90.+mTsallis entropy; Non-extensive; qq-algebra; Hurwitz zeta function; Combinatorial
On some series representations of the Hurwitz zeta function
Keywords: تابع Hurwitz zeta; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Series representation; Integral representation; Generalized harmonic numbers;
Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta function
Keywords: تابع Hurwitz zeta; Gamma function; Multiple Gamma functions; Riemann Zeta function; Hurwitz Zeta function; Hurwitz-Lerch Zeta function; Multiple Hurwitz-Lerch Zeta function; q-Extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials and numbers of highe
Zeta regularized determinant of the Laplacian for classes of spherical space forms
Keywords: تابع Hurwitz zeta; 58J50; 11M35; 11M36Zeta regularized determinant; Spectral zeta function; Hurwitz zeta function; Spherical space form; Lens space; Generating function
On the Hurwitz function for rational arguments
Keywords: تابع Hurwitz zeta; Riemann zeta function; Hurwitz zeta function; Multiple gamma function; Stirling numbers; Bernoulli numbers; Euler numbers; Glaisher’s numbers; Derivatives of the cotangent
Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals
Keywords: تابع Hurwitz zeta; Hankel contour; Hurwitz zeta function; Lerch Transcendent; Euler constant; Digamma function; LogGamma integral; Barnes function
Transcendental values of the digamma function
Keywords: تابع Hurwitz zeta; primary, 11J81; secondary, 11J86, 11J91Digamma function; Euler's constant; Transcendence; Hurwitz zeta function
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Keywords: تابع Hurwitz zeta; 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