Algebraic independence results for reciprocal sums of Fibonacci numbers
Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2011)
Acta Arithmetica
John Cullinan, Farshid Hajir, Elizabeth Sell (2009)
Journal de Théorie des Nombres de Bordeaux
The one-parameter family of polynomials is a subfamily of the two-parameter family of Jacobi polynomials. We prove that for each , the polynomial is irreducible over for all but finitely many . If is odd, then with the exception of a finite set of , the Galois group of is ; if is even, then the exceptional set is thin.
Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2007)
Acta Arithmetica
F. Beukers (1993)
Journal für die reine und angewandte Mathematik
C. Runge (1883)
Journal für die reine und angewandte Mathematik
Krause (1877)
Mathematische Annalen
L. Koenigsberger (1870)
Journal für die reine und angewandte Mathematik
Évelyne Barbin, René Guitart (2001)
Revue d'histoire des mathématiques
Les recherches sur les ovales au xixe témoignent du renouveau des méthodes géométriques et illustrent la mise en concurrence de ces méthodes avec les calculs analytiques. En particulier, elles interviennent dans les relations entre l’algèbre des fonctions elliptiques et la géométrie des courbes, que les mathématiciens pensent en termes d’application ou d’interprétation d’un domaine dans l’autre. La rectification des ovales en arcs d’ellipses est obtenue dans les années 1850 par Roberts et Genocchi,...
M. Mizony (1976)
Publications du Département de mathématiques (Lyon)
S. Lewanowicz (1976)
Applicationes Mathematicae
Luchko, Yury (2008)
Fractional Calculus and Applied Analysis
2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15The paper deals with analysis of several techniques and methods for the numerical evaluation of the Wright function. Even if the focus is mainly on the real arguments’ values, the methods introduced here can be used in the complex plane, too. The approaches presented in the paper include integral representations of the Wright function, its asymptotic expansions and summation of series. Because the Wright function depends on two parameters ...
Dzagnidze, O. (1998)
Georgian Mathematical Journal
Troels Roussau Johansen (2011)
Studia Mathematica
The maximal operator S⁎ for the spherical summation operator (or disc multiplier) associated with the Jacobi transform through the defining relation for a function f on ℝ is shown to be bounded from into for (4α + 4)/(2α + 3) < p ≤ 2. Moreover S⁎ is bounded from into . In particular converges almost everywhere towards f, for , whenever (4α + 4)/(2α + 3) < p ≤ 2.
Chelyshkov, Vladimir S. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Abdelmejid Bayad, Gilles Robert (1997)
Bulletin de la Société Mathématique de France
Vito Lampret (2010)
Open Mathematics
Zeta-generalized-Euler-constant functions, and defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and (1) = ln , are studied and estimated with high accuracy.
Charles F. Dunkl (1978)
Monatshefte für Mathematik
Suslov, Sergei K. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Akira Matsuda (1979)
Aplikace matematiky
A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation , are constructed. In this case, a form of the addition-theorem for Weierstrass’ function involving no derivative is used.
Jaroslav Ježek (2010)
Commentationes Mathematicae Universitatis Carolinae
We present an algorithm for constructing the free algebra over a given finite partial algebra in the variety determined by a finite list of equations. The algorithm succeeds whenever the desired free algebra is finite.