scientific article; zbMATH DE number 7590043
Publication date: 22 September 2022
Full work available at URL: https://arxiv.org/abs/2005.04227
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
logHurwitz zeta functionRiemann zeta functionParseval identityEuler numbersumEuler polynomialalternating zeta functionevaluation of improper integralsarctansech kernel
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) (zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20) Other special orthogonal polynomials and functions (33C47) Hurwitz and Lerch zeta functions (11M35) Analytic continuation of functions of one complex variable (30B40)
Uses Software
Cites Work
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- Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results
- Old and new identities for Bernoulli polynomials via Fourier series
- Transcendental values of the digamma function
- Polygamma functions of negative order
- Derivatives of the Hurwitz zeta function for rational arguments
- The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences
- On Dirichlet's lambda function
- The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
- Master theorems for a family of integrals
- On Some Families of Integrals Solvable in Terms of Polygamma and Negapolygamma Functions
- Special values and integral representations for the Hurwitz-type Euler zeta functions
- Values of the polygamma functions at rational arguments
- A series representation for Riemann's zeta function and some interesting identities that follow
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