Перегляд за автором "Volkmer, H."

Сортувати за: Порядок: Результатів:

  • Definite Integrals using Orthogonality and Integral Transforms 
    Cohl, H.S.; Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
  • External Ellipsoidal Harmonics for the Dunkl-Laplacian 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The paper introduces external ellipsoidal and external sphero-conal h-harmonics for the Dunkl-Laplacian. These external h-harmonics admit integral representations, and they are connected by a formula of Niven's type.
  • Generalized Ellipsoidal and Sphero-Conal Harmonics 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lamé polynomials. Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions ...
  • The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    It is shown that a known asymptotic expansion of the Kummer function U(a,b,z) as a tends to infinity is valid for z on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general ...