Calculation of the Weights of Interpolarory Quadratures
Cálculo rápido de las funciones de Bessel modificadas Kis(X) e Iis(X) y sus derivadas.
En este trabajo discutimos la resolución de la ecuación de Besseld2x/dx2 + (1/x)(dy/dx) - (1 - s2/x2)y = 0.Las funciones de Bessel modificadas Kv(x) e Iv(x) son las soluciones a la ecuación anterior cuando v = is. El valor de la función Kis(x) es real y el de la función Iis(x) es complejo, por ello definimos en su lugar una función real Mis(x). La función Iis(x) resultará ser una combinación de las funciones Kis(x) y Mis(x). Daremos algunos desarrollos en serie de Mis(x) y Kis(x) junto con sus derivadas...
Canards et râteaux
On étudie le phénomène de retard à la bifurcation dans des systèmes dynamiques discrets du plan. La distinction d’une courbe invariante par le système permet de ramener l’étude de ce phénomène à l’étude d’un objet. On démontre la présence du retard dans les systèmes analytiques oscillants. On fait état d’un nouveau phénomène découvert expérimentalement qui apparaît dans les systèmes non inversibles: la courbe invariante présente une succession de pôles exponentiellement étroits. On démontre la présence...
Canonical bases for -modules of spherical monogenics in dimension 3
Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as -modules. As finite-dimensional irreducible -modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Gürlebeck in [3]. Moreover, we obtain simple expressions of elements of these bases in terms of the Legendre polynomials.
Certain classes of multiple generating functions for some sets of polynomials in several variables
Certain formulas associated with generalized Rice polynomials, II
Certain higher monotonicity properties of Bessel functions
Certain Hypergeometric Functions of four Variables
Certain integrals involving logarithmic and exponential functions.
Certain Integrals Involving The H-Function Of Several Variables
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier by Kilbas and Saigo follow as special cases.
Certain q-Transforms.
Certain results involving generalized hypergeometric polynomials
Certain sufficiency conditions on Gaussian hypergeometric functions.
Characteristic functions and -orthogonality properties of Chebyshev polynomials of third and fourth kind.
Characterization properties for starlike and convex functions involving a class of fractional integral operators
Characterization theorem's of Hermite polynomials.
Characterizations of classical polynomials
Charakterisierung des Cotangens mit Replikativität.
Chebyshev polynomials and some methods of approximation.