## 22 Citations

### Representation of functions in series with parameter

- MathematicsMathematica Montisnigri
- 2022

We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation…

### Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume VI

- Mathematics
- 2007

In this series of seven papers, predominantly by means of elementary analysis, we establish a number of identities related to the Riemann zeta function. Whilst this paper is mainly expository, some…

### Euler-Hurwitz series and non-linear Euler sums

- Mathematics
- 2008

In this paper we derive two expressions for the Hurwitz zeta function involving the complete Bell polynomials in the restricted case where q is a positive integer greater than 1. The arguments of the…

### Convergence Acceleration and Improvement by Regular Matrices

- Mathematics
- 2016

A new, nonclassical convergence acceleration concept, called \(\mu \)-acceleration of convergence (where \(\mu \) is a positive monotonically increasing sequence), is introduced and compared with the…

### Determinants of two kinds of matrices whose elements involve sine functions

- MathematicsOpen Mathematics
- 2019

Abstract The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota. A problem concerning the…

### Identities for the Hurwitz zeta function, Gamma function, and L-functions

- Mathematics
- 2012

We derive several identities for the Hurwitz and Riemann zeta functions, the Gamma function, and Dirichlet L-functions. They involve a sequence of polynomials αk(s) whose study was initiated in…

### The Stieltjes constants, their relation to the ηj coefficients, and representation of the Hurwitz zeta function

- Mathematics
- 2007

Abstract The Stieltjes constants γk(a) are the expansion coefficients in the Laurent series for the Hurwitz zeta function about its only pole at s = 1. We present the relation of γk(1) to the ηj…

### A formula connecting the Bernoulli numbers with the Stieltjes constants

- Mathematics
- 2011

We show that the formula recently derived by Coffey for the Stieltjes constants in terms of the Bernoulli numbers is mathematically equivalent to the much earlier representation derived by Briggs and…

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- Mathematics
- 1999

In this note, we develop transformation formulae and expansions for the log tangent integral, which are then used to derive series acceleration formulae for certain values of Dirichlet L-functions,…

### Systematic perturbation calculation of integrals with applications to physics.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2005

This paper generalize and improve a method for calculating the period of a classical oscillator and other integrals of physical interest, and derives analytical expressions that prove to be more accurate than those commonly found in the literature.

### Analytic continuation of Riemann’s zeta function and values at negative integers via Euler’s transformation of series

- Mathematics
- 1994

We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ¬= 1. At negative integers the series becomes a finite sum whose value is…

### The period of a classical oscillator

- Physics
- 2005

We develop a simple method to obtain approximate analytical expressions for the period of a particle moving in a given potential. The method is inspired to the Linear Delta Expansion (LDE) and it is…

### Extended variational approach to the SU(2) mass gap on the lattice.

- PhysicsPhysical review. D, Particles and fields
- 1995

The linear \ensuremath{\delta} expansion is applied to a calculation of the SU(2) mass gap on the lattice. Our results compare favorably with the strong-coupling expansion and are in good agreement…

### Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

- Physics
- 1990

The problems usually found in Theoretical Chemistry and Physical Chemistry involve the use of quantum mechanical models which, as a general rule, do not have exact solutions. Due to this very…

### The spectrum of a quantum potential

- Physics
- 2004

We apply a method recently devised by one of the authors to obtain an approximate analytical formula for the spectrum of a quantum anharmonic potential. Due to its general features the method can be…