Listar INAMAT2 - Institute for Advanced Materials and Mathematics por autor UPNA "Palacios Herrero, Pablo"
Mostrando ítems 1-6 de 6
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An analytic representation of the second symmetric standard 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 derive new convergent expansions of the symmetric standard elliptic integral RD(x,y,z), for x,y,z∈C∖(−∞,0], in terms of elementary functions. The expansions hold uniformly for large and small values of one of the three ... -
A convergent and asymptotic Laplace method for integrals
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Palacios Herrero, Pablo (Elsevier, 2023)
Artículo / Artikulua
Watson’s lemma and Laplace’s method provide asymptotic expansions of Laplace integrals F (z) := ∫ ∞ 0 e −zf (t) g(t)dt for large values of the parameter z. They are useful tools in the asymptotic approximation of ... -
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 ... -
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 ... -
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 ... -
Uniform convergent expansions of integral transforms
López García, José Luis ; Palacios Herrero, Pablo ; Pagola Martínez, Pedro Jesús (American Mathematical Society, 2021)
Artículo / Artikulua
Several convergent expansions are available for most of the special functions of the mathematical physics, as well as some asymptotic expansions [NIST Handbook of Mathematical Functions, 2010]. Usually, both type of ...
