Two new conjectures concerning positive Jacobi polynomials sums.
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere.
Über die Koeffizienten der Fejérschen Polynome
Über die Struktur einer durch Tschebyscheffpolynome in zwei Variablen dargestellten Permutationsgruppe
Über Differentialgleichungen für Orthogonalpolynome.
Über eine partielle Differentialgleichung mit P+2 Variablen und deren Zusammenhang mit den allgemeinen Kugelfunktionen.
Über Tschebyscheff-Polynome, Nicht-Kongruenzuntergruppen der Modulgruppe und Fibonacci-Zahlen.
Ueber verwandte s-Functionen.
Uniform asymptotics for orthogonal polynomials.
Univalent functions of given transfinite diameter: A maximum modulus problem.
Vieta's triangular array and a related family of polynomials.
Wahrscheinlichkeitsfunktionen diskreter Verteilungen als Lösungen der Pearsonschen Differenzengleichung für die diskreten klassischen Orthogonalpolynome.
Weighted derangements and Laguerre polynomials.
Weighted inequalities for classical and semiclassical weights.
Widom factors for the Hilbert norm
Given a probability measure μ with non-polar compact support K, we define the n-th Widom factor W²ₙ(μ) as the ratio of the Hilbert norm of the monic n-th orthogonal polynomial and the n-th power of the logarithmic capacity of K. If μ is regular in the Stahl-Totik sense then the sequence has subexponential growth. For measures from the Szegő class on [-1,1] this sequence converges to some proper value. We calculate the corresponding limit for the measure that generates the Jacobi polynomials, analyze...
Zero distribution of sequences of classical orthogonal polynomials.
Zonal Approximation Processes.
Zu den Orthogonalpolynomen von Althammer.
α-Mellin Transform and One of Its Applications
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we have introduced the definition of the α-Mellin transform and some of its basic properties. Some examples of special cases are provided. Its operational properties as Theorem 1, Theorem 2 (Convolution theorem) and Theorem 3 (α-Mellin transform...
Асимптотика полиномов совместной ортогональности в случае Анджелеско