Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.
Double integrals on a weighted projective plane and Hilbert modular functions for ℚ (√5)
The aim of this paper is to give an explicit extension of classical elliptic integrals to the Hilbert modular case for ℚ (√5). We study a family of Kummer surfaces corresponding to the Humbert surface of invariant 5 with two complex parameters. Our Kummer surface is given by a double covering of the weighted projective space ℙ(1:1:2) branched along a parabola and a quintic curve. The period mapping for our family is given by double integrals of an algebraic function on chambers coming from an arrangement...
Doubles mélanges des polylogarithmes multiples aux racines de l’unité
Drobné zprávy
Drought models based on Burr XII variables
Burr distributions are some of the most versatile distributions in statistics. In this paper, a drought application is described by deriving the exact distributions of U = XY and W = X/(X+Y) when X and Y are independent Burr XII random variables. Drought data from the State of Nebraska are used.
Dual pairs, spherical harmonics and a Capelli identity in quantum group theory
Dual series equations involving generalized Laguerre polynomials.
Duality of -polynomials, orthogonal on countable sets of points.
Dunkl operators
Dunkl operators and canonical invariants of reflection groups.
Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
Duplicate inverse series relations and hypergeometric evaluations with
The Gould-Hsu (1973) inverse series relations have been systematically applied to the research of hypergeometric identities. Their duplicate version is established and used to demonstrate several terminating -summation formulas. Further hypergeometric evaluations with the same variable are obtained through recurrence relations.
Dynamical matrices of elliptic quantum groups and connection matrices for the -KZ equations.
-orbit functions.
Efficient Stable Ways to Calculate Continued Fraction Coefficients From some Series.
Eigenfunction expansions of functions describing systems with symmetries.
Ein analytisches Reziprozitätsgesetz.
Ein Beitrag zu Poincarc's Theorie der Fuchs'schen Functionen
Ein Beitrag zur Theorie der Orthogonalpolynome.
Ein p-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen.