EuDML | Browse

Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating versions via Mittag-Leffler type functions.

Integralrelationen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik.

Hans Volkmer (1980)

Journal für die reine und angewandte Mathematik

Middle convolution and Heun's equation.

Takemura, Kouichi (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

New upper bounds for Mathieu-type series.

Tomovski, Živorad, Pogány, Tibor K. (2009)

Banach Journal of Mathematical Analysis [electronic only]

Numeric-analytical construction of Mathieu functions

Yu. A. Ryabov (1999)

Mathematica Bohemica

In this paper we present an iterative algorithm for the construction of Mathieu functions of any order $N$ in the form of Fourier series (practically, polynomials), and also the corresponding Quick-BASIC program for realization of this algorithm with numerical values of the parameter.

On the complex geometry of invariant domains in complexified symmetric spaces

Karl-Hermann Neeb (1999)

Annales de l'institut Fourier

Let $M = G / H$ be a real symmetric space and $𝔤 = 𝔥 + 𝔮$ the corresponding decomposition of the Lie algebra. To each open $H$ -invariant domain $D_{𝔮} \subseteq i 𝔮$ consisting of real ad-diagonalizable elements, we associate a complex manifold $Ξ (D_{𝔮})$ which is a curved analog of a tube domain with base $D_{𝔮}$ , and we have a natural action of $G$ by holomorphic mappings. We show that $Ξ (D_{𝔮})$ is a Stein manifold if and only if $D_{𝔮}$ is convex, that the envelope of holomorphy is schlicht and that $G$ -invariant plurisubharmonic functions correspond to convex $H$ -invariant...

Currently displaying 1 – 18 of 18

Page 1

Displaying 1 – 18 of 18

Anzahl der Zerlegungen einer ganzen rationalen Zahl in Summanden

Beiträge zur Theorie der Lame'schen Functionen.

Die Fourier-Besselsche Function.

Entwicklung der Functionen einer complexen Variabeln nach Lamé'schen Functionen und nach Zugeordneten der Kugelfunctionen. (Mit einer lithogr. Tafel)

Fonctions de Mathieu et fonctions propres de l'oscillateur relativiste

Généralisation des fonctions $X_{n}$ de Legendre au cas de deux entiers, ou des fonctions qui naissent du développement des expressions ${[1 - 2 α x + α^{2}]}^{\pm \frac{2 l + 1}{2}}$ .

Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.

Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions

Integralrelationen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik.

Middle convolution and Heun's equation.

New upper bounds for Mathieu-type series.

Numeric-analytical construction of Mathieu functions

On the complex geometry of invariant domains in complexified symmetric spaces

Remarques sur la théorie des nombres et sur les fractions continues.

Sur quelques applications des fonctions elliptiques [Book]

Towards finite-gap integration of the Inozemtsev model.

Ueber Lamé'sche Functionen

Uniform asypmptotic expansions of modified Mathieu functions.

Currently displaying 1 – 18 of 18