Zusammenfassung Das folgende Kapitel führt zunächst in die teilnehmende Beobachtung als Methode ein. Dabei wird auf methodische Herkunft eingegangen. Dann werden einzelne Forschungsstrategien und das Vorgehen im Feld genauer beschrieben. Der Forschungsprozess verschiedene Phasen unterteilt immer wieder kritisch hinterfragt. Anschließend findet eine Übertragung der Politikwissenschaft FuK statt....

Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as sl(2,C)-modules. As finite-dimensional irreducible sl(2,C)-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 ...

By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressions, we obtain quadrature formulas for integral transforms generated by the classical orthogonal polynomials. These integral transforms, related to the so-called Poisson integrals, correspond to a modified Fourier Tra...

A short review of the method for the tensor reduction of Feynman integrals based on recurrence relations w.r.t. space-time dimension d is given. A solution of the difference equation w.r.t. d for the n-point one-loop integrals with arbitrary momenta and masses is presented. The result is written as multiple hypergeometric series depending on ratios of Gram determinants. For the 3-point function...

We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions. Furthermore, multidimensional extensions of the Bernoulli and Appell polynomials are derived generalizing the relevant generating functions, and using the Hermite-Kampé de Fériet (or Gould-Hopper)...

We show how the complex-shift method introduced by Appell in gravity to the case of a point mass (and applied among others in electrodynamics by Newman, Carter, Lynden-Bell, and Kaiser to determine remarkable properties of the electromagnetic field of rotating charged configurations), can be extended to obtain new and explicit density-potential pairs for self-gravitating systems departing signi...