Listar Dpto. Estadística, Informática y Matemáticas - Estatistika, Informatika eta Matematika Saila [desde mayo 2018 / 2018ko maiatzetik] por tema "Uniform expansions"
Mostrando ítems 1-6 de 6
-
Analytic approximations of integral transforms in terms of elementary functions: application to special functions
This thesis focuses on the study of new analytical methods for the approximation of integral transforms and, in particular, of special functions that admit an integral representation. The importance of these functions lies ... -
An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions
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 ... -
Uniform approximations of the first symmetric elliptic integral in terms of elementary functions
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
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 ... -
Uniform convergent expansions of the error function in terms of elementary functions
We derive a new analytic representation of the error function erfz in the form of a convergent series whose terms are exponential and rational functions. The expansion holds uniformly in z in the double sector | arg (±z) ... -
Uniformly convergent expansions for the generalized hypergeometric functions p –1Fp and pFp
We derive a convergent expansion of the generalized hypergeometric function p−1 F p in terms of the Bessel functions 0 F 1 that holds uniformly with respect to the argument in any horizontal strip of the complex plane. We ...