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On polynomials generated by a four-term recurrence relation and linear coefficients
This paper treats the properties of polynomials generated by a four-term recurrence relation and linear coefficients. From the eigenvalue theory, we...
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On super-recurrence of strongly continuous semigroup
In this paper, we study the notion of super-recurrence for a strongly continuous semigroup of operators. We establish some results for...
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The Schwarzian Octahedron Recurrence (dSKP Equation) II: Geometric Systems
We consider nine geometric systems: Miquel dynamics, P-nets, integrable cross-ratio maps, discrete holomorphic functions, orthogonal circle patterns,...
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Pseudo solutions, rotation sets, and shadowing rotations for monotone recurrence relations
By introducing for monotone recurrence relations pseudo solutions, which are analogues of pseudo orbits of dynamical systems, we show that for...
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Nonlinear Inverse Relations of the Bell Polynomials via the Lagrange Inversion Formula (II)
In this paper, by means of the classical Lagrange inversion formula, the authors establish a general nonlinear inverse relation as the solution to...
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Three term relations for multivariate Uvarov orthogonal polynomials
Three term relations for orthogonal polynomials in several variables associated to a moment linear functional obtained by a Uvarov modification of a...
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Completeness of Positive Linear Recurrence Sequences
Zeckendorf proved that every positive integer n can be written uniquely as the sum of non-adjacent Fibonacci numbers. We use this to create a...
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Various Recurrence and Topologically Sensitive for Semiflows
We recall various notions of size for a topological semigroup T , not necessarily discrete, such as GH -syndetic set, syndetic set, and positive Følner...
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Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers
In the paper, the authors establish several identities and relations involving q -analogues of the Pochhammer k -symbol. Moreover, the authors...
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A NEW APPROACH TO THE GENERALIZED TRACE FORMULA AND ASYMPTOTICS OF TURÁN’S DETERMINANT FOR POLYNOMIALS WITH ASYMPTOTICALLY N-PERIODIC RECURRENCE COEFFICIENTS
A class of orthonormal polynomials with asymptotically N -periodic recurrence coefficients ( A P N class) is studied. These polynomials have an...
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Recurrence Relations for a Family of Orthogonal Polynomials on a Triangle
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to...
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On Markov Intertwining Relations and Primal Conditioning
Given an intertwining relation between two finite Markov chains, we investigate how it can be transformed by conditioning the primal Markov chain to...
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On the size of roots of a family of polynomials related to linear recurrence sequences
In recent years, many authors studied the arithmetic, analytic and geometric aspects of roots of characteristic polynomials of some linear recurrence...
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Fuzzy Recurrence Plots
Using the mathematical properties of fuzzy relationsFuzzy relations, the similaritySimilarity between the state vectors of the reconstructed phase...
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Contiguous Relations and Creative Telesco**
This article presents an algorithmic theory of contiguous relations. Contiguous relations, first studied by Gauß, are a fundamental concept within...
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Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II
We study Jacobi matrices with N -periodically modulated recurrence coefficients when the sequence of N -step transfer matrices is convergent to a...
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Fuzzy Recurrence Networks
Fuzzy recurrence networksRecurrence networks can beFuzzy recurrence network constructed fromFuzzy recurrence plots fuzzy recurrence plotsRecurrence...