Listar por autor UPNA "López García, José Luis"
Mostrando ítems 21-40 de 47
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An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
Karp, D. B.; López García, José Luis
(De Gruyter, 2018)
Artículo / Artikulua 
In this paper we investigate the extension of the multiple Erd elyi-Kober fractional integral operator of Kiryakova to arbitrary complex values of parameters by the way of regularization. The regularization involves ... -
Formulas for the amplitude of the van der Pol limit cycle through the homotopy analysis method
López García, José Luis ; Abbasbandy, S.; López Ruiz, R. (Hindawi / Wiley, 2009)
Artículo / Artikulua
The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by applying the homotopy analysis method. A recursive set of formulas that approximate the amplitude and form of this limit ... -
Generalization of Zernike polynomials for regular portions of circles and ellipses
Navarro, Rafael; López García, José Luis ; Díaz, José A.; Pérez Sinusía, Ester (Optical Society of America, 2014)
Artículo / Artikulua
Zernike polynomials are commonly used to represent the wavefront phase on circular optical apertures, since they form a complete and orthonormal basis on the unit circle. Here, we present a generalization of this Zernike ... -
New analytic representations of the hypergeometric functions p+1Fp
López García, José Luis ; Palacios Herrero, Pablo ; Pagola Martínez, Pedro Jesús (Springer, 2021)
Artículo / Artikulua
The power series expansions of the hypergeometric functions p+1Fp (a,b1,…,bp;c1,…,cp;z) converge either inside the unit disk |z|<1 or outside this disk |z|>1. Nørlund’s expansion in powers of z/(z−1) converges in the ... -
New recurrence relations for several classical families of polynomials
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Taylor and Francis, 2021)
Artículo / Artikulua
In this paper, we derive new recurrence relations for the following families of polynomials: nörlund polynomials, generalized Bernoulli polynomials, generalized Euler polynomials, Bernoulli polynomials of the second kind, ... -
New series expansions for the ℋ-function of communication theory
Ferreira, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Taylor & Francis, 2023)
Artículo / Artikulua
TheH-function of communication theory plays an important role inthe error rate analysis in digital communication with the presenceof additive white Gaussian noise (AWGN) and generalized multipathfading conditions. In this ... -
New series expansions of the 3F2 function
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Pérez Sinusía, Ester (2015)
Artículo / Artikulua
We can use the power series definition of 3F2(a1, a2, a3; b1, b2; z) to compute this function for z in the unit disk only. In this paper we obtain new expansions of this function that are convergent in larger domains. ... -
A note on the asymptotic expansion of the Lerch’s transcendent
Cai, Xing Shi; López García, José Luis (Taylor & Francis, 2018)
Artículo / Artikulua
In Ferreira and López [Asymptotic expansions of the Hurwitz–Lerch zeta function. J Math Anal Appl. 2004;298(1):210–224], the authors derived an asymptotic expansion of the Lerch's transcendent Φ(z,s,a) for large |a|, valid ... -
On a modifcation of Olver's method: a special case
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Springer US, 2016)
Artículo / Artikulua
We consider the asymptotic method designed by Olver (Asymptotics and special functions. Academic Press, New York, 1974) for linear differential equations of the second order containing a large (asymptotic) parameter : ... -
On a particular class of Meijer's G functions appearing in fractional calculus
Karp, D. B.; López García, José Luis (Academic Publications, 2018)
Artículo / Artikulua
In this paper we investigate the Meijer G-function G p+1,p+1 p,1 which, for certain parameter values, represents the Riemann-Liouville fractional integral of the Meijer-Nørlund function G p,p. p,0 The properties of this ... -
Orthogonal basis for the optical transfer function
Ferreira González, Chelo; López García, José Luis ; Navarro, Rafael; Pérez Sinusía, Ester (Optical Society of America, 2016)
Artículo / Artikulua
We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0 OTF perfect. To this end, we apply a powerful ... -
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces
Ferreira González, Chelo; López García, José Luis ; Navarro, Rafael; Pérez Sinusía, Ester (Optical Society of America, 2016)
Artículo / Artikulua
A rigorous and powerful theoretical framework is proposed to obtain systems of orthogonal functions (or shape modes) to represent optical surfaces. The method is general so it can be applied to different initial shapes and ... -
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces: reply
Ferreira González, Chelo; López García, José Luis ; Navarro, Rafael; Pérez Sinusía, Ester (Optical Society of America, 2016)
Artículo / Artikulua
We present some comments to the paper 'Orthogonal basis with a conicoid first mode for shape specification of optical surfaces: comment'. -
The Pearcey integral in the highly oscillatory region
López García, José Luis ; Pagola Martínez, Pedro Jesús (Elsevier, 2016)
Artículo / Artikulua
We consider the Pearcey integral P(x, y) for large values of |y| and bounded values of |x|. The integrand of the Pearcey integral oscillates wildly in this region and the asymptotic saddle point analysis is complicated. ... -
Representations of hypergeometric functions for arbitrary parameter values and their use
Karp, D. B.; López García, José Luis (2017)
Artículo / Artikulua
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of ... -
Series representations of the Volterra function and the Fransén–Robinson constant
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Palacios Herrero, Pablo (Elsevier, 2021)
Artículo / Artikulua
The Volterra function μ(t,β,α) was introduced by Vito Volterra in 1916 as the solution to certain integral equations with a logarithmic kernel. Despite the large number of applications of the Volterra function, the only ... -
A simplification of the stationary phase method: application to the Anger and Weber functions
López García, José Luis (Kent State UniversityJohann Radon Institute (RICAM), 2017)
Artículo / Artikulua
The main difficulty in the practical use of the stationary phase method in asymptotic expansions of integrals is originated by a change of variables. The coefficients of the asymptotic expansion are the coefficients of the ... -
The swallowtail integral in the highly oscillatory region II
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Kent State UniversityJohann Radon Institute (RICAM), 2020)
Artículo / Artikulua
We analyze the asymptotic behavior of the swallowtail integral R ∞ −∞ e i(t 5+xt3+yt2+zt)dt for large values of |y| and bounded values of |x| and |z|. We use the simpli ed saddle point method introduced in [López et al., ... -
The swallowtail integral in the highly oscillatory region III
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Taylor & Francis, 2021)
Artículo / Artikulua
We consider the swallowtail integral Ψ(x,y,z):=∫∞−∞ei(t5+xt3+yt2+zt)dt for large values of |z| and bounded values of |x| and |y|. The integrand of the swallowtail integral oscillates wildly in this region and the asymptotic ... -
Uniform approximations of the first symmetric elliptic integral in terms of elementary functions
Bujanda Cirauqui, Blanca ; López García, José Luis ; Pagola Martínez, Pedro Jesús ; Palacios Herrero, Pablo (Springer, 2022)
Artículo / Artikulua
We consider the standard symmetric elliptic integral RF(x, y, z) for complex x, y, z. We derive convergent expansions of RF(x, y, z) in terms of elementary functions that hold uniformly for one of the three variables x, y ...
