Let Γ2 denote the spaces of all double entire sequences. Let Λ2 denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund space of double entire sequences η ( Γπ ) , Γ2 and also study some of the properties of η ( Γπ ) and η ( Λπ )

In this study, as a new approach to the concept of asymptotical equivalence in Wijsman sense for double set sequences, concepts which are called invariant statistical order ? and lacunary (0<??1) sequences introduced explained with examples. addition, existence some relations between these furthermore, relationships previously studied investigated.

Abstract Horizontal and vertical generating functions recursion relations have been investigated by Comtet for triangular double sequences. In this paper we investigate the horizontal log-concavity of sequences assigned to polynomials which show up in combinatorics, number theory physics. This includes Laguerre polynomials, Pochhammer D’Arcais Nekrasov–Okounkov polynomials.

Nanda 1 studied sequence of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers form a complete metric space. Nuray 2 proved the inclusion relations between the set of statistically convergent and lacunary statistically convergent sequences of fuzzy numbers. Kwon and Shim 3 studied statistical convergence and lacunary statistical convergence of sequences of fuzzy ...

Let χ denotes the space of all double gai sequences. Let Λ denotes the space of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space of gai sequence space η ( χM ) and χM . and Nörlund double Orlicz space of analytic sequence space η ( ΛM ) and ΛM .

The idea of I-convergence for single sequences was introduced by Kostyrko, Salat and Wilczynski [7] in 2000/2001 and developed in [1], [2], [3], [6], [8], [9], and [15]. Nowaday it has become one of the most active areas of research in classical analysis. Recently Tripathy and Tripathy [15] extended the concept of I-Convergence from single sequences to double sequences. In this paper we introdu...

We rst generalize the Schur congruence for Legendre polynomials to sequences of polyno-mials that we call \d-Carlitz". This notion is more general than a similar notion introduced by Carlitz. Then, we study automaticity properties of double sequences generated by these sequences of polynomials, thus generalizing previous results on double sequences produced by one-dimensional linear cellular au...

At low ionic strength and with a low exogenous RNA polymerase/DNA ratio, rat liver chromatin directs the synthesis in vitro of RNA sequences rich in double-stranded segments. All the transcripts contain at least one double-stranded sequence. Most of the double-stranded segments are formed by intramolecular base-pairing of inverted complementary sequences separated by a single-stranded loop. The...

and Applied Analysis 3 where σ s σ σj−1 s . In this case, we write σ − limx . By V 2 σ , we denote the set of all σ-convergent and bounded double sequences. One can see that in contrast to the case for single sequences, a convergent double sequence need not be σ-convergent. But every bounded convergent double sequence is σ-convergent. So, c∞ 2 ⊂ V 2 σ ⊂ ∞ 2 . In the case σ i i 1, σ-convergence ...

For an arbitrary finite algebra (A, f(·, ·), 0, 1) one defines a double sequence a(i, j) by a(i, 0) = a(0, j) = 1 and a(i, j) = f(a(i, j − 1), a(i − 1, j)). The problem if such recurrent double sequences are ultimately zero is undecidable, even if we restrict it to the class of commutative finite algebras. A.M.S.-Classification: 03D10.