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- Eugenio P. Balanzario, Jorge Sánchez-Ortiz
- Math. Comput.
- 2007

We compute zeros off the critical line of a Dirichlet series considered by H. Davenport and H. Heilbronn. This computation is accomplished by deforming a Dirichlet series with a set of known zeros… (More)

- Francisco J. Ariza-Hernandez, Jorge Sánchez-Ortiz, Martin P. Arciga-Alejandre, Luis X. Vivas-Cruz
- J. Applied Mathematics
- 2017

We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the… (More)

- Eugenio P. Balanzario, Jorge Sánchez-Ortiz
- Math. Comput.
- 2012

The Lerch zeta function is an important generalization of the Riemann zeta function. Some references on the basic properties of the Lerch zeta function are [10], [9] and [8]. On the other hand, in… (More)

In this work, we define a new class of functions of the Bernoulli type using the Riemann-Liouville fractional integral operator and derive a generating function for these class generalized functions.… (More)

We investigate the pricing of options using a modified Black-Scholes equation with a time-fractional derivative and additive white noise on the half-line. We construct the Green function for the… (More)

We solve an homogeneous Riemann-Hilbert problem, such that the density does not satisfy the zero index condition. Moreover, we find an asymptotic representation for the solution to this problem. As… (More)

We present two sufficient conditions for an absolutely continuous random variable to obey Benford's law for the distribution of the first significant digit. These two sufficient conditions suggest… (More)

First we derive a generating function and a Fourier expansion for a class of generalized Bernoulli polynomials. Then we derive formulas that allow certain Dirichlet series to be evaluated in terms of… (More)

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