Keywords: تابع زرت لرچ; 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
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Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
Keywords: تابع زرت لرچ; 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 زرت لرچ; Interpolation; Discontinuous functions; Statistical convergence; Lerch zeta function; Hurwitz zeta function
Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
Keywords: تابع زرت لرچ; 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
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
Keywords: تابع زرت لرچ; Bernoulli numbers and Bernoulli polynomials; Euler numbers and Euler polynomials; Genocchi numbers and Genocchi polynomials; Riemann and Hurwitz (or generalized) zeta functions; Hurwitz–Lerch zeta function; Lerch zeta function; Polylogarithm function; Lip
A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers
Keywords: تابع زرت لرچ; q-Bernoulli and twisted q-Bernoulli numbers; q-Bernoulli and twisted q-Bernoulli polynomials; q-Zeta function; Lerch zeta function; Hurwitz-Lerch and Lipschitz-Lerch zeta functions; L-Function and p-adic L-function; Polylogarithm function; p-Adic distribu
Some discrete Fourier transform pairs associated with the Lipschitz–Lerch Zeta function
Keywords: تابع زرت لرچ; 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
Closed-form formulae for the derivatives of trigonometric functions at rational multiples of ππ
Keywords: تابع زرت لرچ; Trigonometric functions; Hurwitz zeta function; Legendre chi function; Lerch zeta function; Bernoulli polynomials; Euler polynomials
An efficient algorithm for the Hurwitz zeta and related functions
Keywords: تابع زرت لرچ; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Algorithm; Integral representation; Generalized harmonic numbers; Stieltjes constants;
On some series representations of the Hurwitz zeta function
Keywords: تابع زرت لرچ; 11M06; 11M35; 33B15; Hurwitz zeta function; Riemann zeta function; Polygamma function; Lerch zeta function; Series representation; Integral representation; Generalized harmonic numbers;