scientific article
zbMath1383.11104MaRDI QIDQ2953247
Publication date: 4 January 2017
Full work available at URL: http://operator.pmf.ni.ac.rs/www/pmf/publikacije/faac/2015/2015-7-2/faac-7-2-6.pdf
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Riemann zeta functiongenerating functionsseries representationsharmonic numbersDirichlet \(L\)-functionsHurwitz-Lerch zeta functiongamma and psi functionsEuler numbers and Euler polynomialsassociated series and integralsgeneralized Goldbach-Euler sums
Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Hurwitz and Lerch zeta functions (11M35)
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Cites Work
- A new generalization of the Bernoulli and related polynomials
- An extended general Hurwitz-Lerch zeta function as a Mathieu \((\mathbf a, \mathbf{\lambda})\)-series
- Some new families of generalized Euler and Genocchi polynomials
- Two-sided inequalities for the extended Hurwitz-Lerch zeta function
- Series involving the zeta function and multiple Gamma functions
- Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus
- Explicit evaluation of Euler and related sums
- Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
- Some families of series representations for the Riemann \(\zeta(3)\)
- On quantum gauge theories in two dimensions
- Some series representations of \(\zeta(2n+1)\)
- A certain class of rapidly convergent series representations for \(\zeta (2n + 1)\)
- Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments
- Multiple gamma and related functions
- Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
- Values of the Riemann zeta functions and integrals involving \(\log (2\sinh {\theta\over 2})\) and \(\log (2\sin {\theta\over 2})\)
- On the zeta function values \(\zeta (2k+1)\), \(k=1, 2, \dots\)
- Reduction and duality of the generalized Hurwitz-Lerch zetas
- Further results involving a class of generalized Hurwitz-Lerch zeta functions
- A class of Hurwitz-Lerch zeta distributions and their applications in reliability
- Series representations for some mathematical constants
- Certain families of series associated with the Hurwitz--Lerch zeta function
- Series Involving the Zeta Functions and a Family of Generalized Goldbach–Euler Series
- Integral and computational representations of the extended Hurwitz–Lerch zeta function
- Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
- New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae
- New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
- Euler and the Zeta Function
- New rapidly convergent series representations for $\zeta (2n+1)$
- A generalized inverse gausssian distribution with τ-confluent hypergeometric function.
- Inductive construction of rapidly convergent series representations for ?(2>n> + 1)
- Some formulas for the Bernoulli and Euler polynomials at rational arguments
- Notes on Riemann's ζ-Function
- Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function
- Limit Representations of Riemann’s Zeta Function
- A generalization of the Hurwitz - Lerch Zeta function
- Some Integrals of the Arctangent Function
- Some definite integrals associated with the Riemann zeta function
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