On the Krall-type polynomials on q-quadratic lattices

Alvarez-Nodarse, R.
Adiguzel, R. Sevinik
In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.


KIRLAR, Barış Bülent; Cil, Melek (Walter de Gruyter GmbH, 2017-06-01)
In this paper, we propose a novel encryption scheme based on the concepts of the commutative law of the k-th order linear recurrences over the finite field F-q for k > 2. The proposed encryption scheme is an ephemeral-static, which is useful in situations like email where the recipient may not be online. The security of the proposed encryption scheme depends on the difficulty of solving some Linear Feedback Shift Register (LFSR) problems. It has also the property of semantic security. For k = 2, we propose ...
On entire rational maps of real surfaces
Ozan, Yıldıray (The Korean Mathematical Society, 2002-01-01)
In this paper, we define for a component X-0 of a nonsingular compact real algebraic surface X the complex genus of X-0, denoted by g(C)(X-0), and use this to prove the nonexistence of nonzero degree entire rational maps f : X-0 --> Y provided that g(C)(Y) > g(C)(X-0), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.
Geometric characterizations of existentially closed fields with operators
Pierce, D (Duke University Press, 2004-12-01)
This paper concerns the basic model-theory of fields of arbitrary characteristic with operators. Simplified geometric axioms are given for the model-companion of the theory of fields with a derivation. These axioms generalize to the case of several commuting derivations. Let a D-field be a field with a derivation or a difference-operator, called D. The theory of D-fields is companionable. The existentially closed D-fields can be characterized geometrically without distinguishing the two cases in which D can...
Geometric invariant theory and Einstein-Weyl geometry
Kalafat, Mustafa (Elsevier BV, 2011-01-01)
In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.
Improved p-ary codes and sequence families from Galois rings of characteristic p(2)
LİNG, SAN; Özbudak, Ferruh (Society for Industrial & Applied Mathematics (SIAM), 2006-01-01)
This paper explores the applications of a recent bound on some Weil-type exponential sums over Galois rings in the construction of codes and sequences. A family of codes over F-p, mostly nonlinear, of length p(m+1) and size p(2) (.) p(m(D-[D/p2])), where 1 <= D <= p(m/2), is obtained. The bound on this type of exponential sums provides a lower bound for the minimum distance of these codes. Several families of pairwise cyclically distinct p-ary sequences of period p(p(m - 1)) of low correlation are also cons...
Citation Formats
R. Alvarez-Nodarse and R. S. Adiguzel, “On the Krall-type polynomials on q-quadratic lattices,” INDAGATIONES MATHEMATICAE-NEW SERIES, pp. 181–203, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64517.