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Calculation of the Weights of Interpolarory Quadratures
J. Kautsky, S. Elhay (1982)
Numerische Mathematik
Cálculo rápido de las funciones de Bessel modificadas Kis(X) e Iis(X) y sus derivadas.
Lluís Closas Torrente, Juan Antonio Fernández Rubio (1987)
Stochastica
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
Augustin Fruchard (1992)
Annales de l'institut Fourier
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
Roman Lávička (2010)
Archivum Mathematicum
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.
Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative
Luchko, Yury, Trujillo, Juan (2007)
Fractional Calculus and Applied Analysis
2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones. Whereas the Riemann-Liouville definition of a fractional derivative is usually employed in mathematical texts and not so frequently in applications, and the Grünwald-Letnikov definition – for numerical approximation of both Caputo and Riemann-Liouville fractional derivatives,...
Central binomial sums, multiple Clausen values, and zeta values.
Borwein, Jonathan Michael, Broadhurst, David J., Kamnitzer, Joel (2001)
Experimental Mathematics
Certain classes of multiple generating functions for some sets of polynomials in several variables
M. A. Pathan, B. B. Jaimini, Shiksha Gautam (2011)
Matematički Vesnik
Certain formulas associated with generalized Rice polynomials, II
H. M. Srivastava (1972)
Annales Polonici Mathematici
Certain higher monotonicity properties of Bessel functions
Jaromír Vosmanský (1977)
Archivum Mathematicum
Certain Hypergeometric Functions of four Variables
Harold Exton (1972)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Certain integrals involving logarithmic and exponential functions.
Chaudhry, M.Aslam, Ahmad, M. (1994)
International Journal of Mathematics and Mathematical Sciences
Certain Integrals Involving The H-Function Of Several Variables
Rekha Panda (1977)
Publications de l'Institut Mathématique
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Saxena, R. K., Saigo, Megumi (2005)
Fractional Calculus and Applied Analysis
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.
Sneh D. Prasad (1972)
Mathematica Scandinavica
Certain results involving generalized hypergeometric polynomials
R. S. Dahiya (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Certain sufficiency conditions on Gaussian hypergeometric functions.
Swaminathan, A. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Chapter 8 of Ramanujan's second notebook.
Bruce C. Berndt (1983)
Journal für die reine und angewandte Mathematik
Characteristic functions and -orthogonality properties of Chebyshev polynomials of third and fourth kind.
Martinelli, Maria Renata (2002)
Georgian Mathematical Journal
Characterization properties for starlike and convex functions involving a class of fractional integral operators
R. K. Raina, Mamta Bolia (1997)
Rendiconti del Seminario Matematico della Università di Padova
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