New concepts of Hahn calculus and impulsive Hahn difference equations
نویسندگان
چکیده
منابع مشابه
On Generalized Difference Hahn Sequence Spaces
We construct some generalized difference Hahn sequence spaces by mean of sequence of modulus functions. The topological properties and some inclusion relations of spaces h p ((F, u, Δ(r)) are investigated. Also we compute the dual of these spaces, and some matrix transformations are characterized.
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We apply Zeilberger’s algorithm to generate relations of finite-type necessary to obtain inner bounds for the extreme zeros of orthogonal polynomial sequences with 3F2 hypergeometric representations. Using this method, we improve previously obtained upper bounds for the smallest and lower bounds for the largest zeros of the Hahn polynomials and we identify inner bounds for the extreme zeros of ...
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This paper is devoted for a rigorous investigation of Hahn’s difference operator and the associated calculus. Hahn’s difference operator generalizes both the difference operator and Jackson’s q-difference operator. Unlike these two operators, the calculus associated with Hahn’s difference operator receives no attention. In particular, its right inverse has not been constructed before. We aim to...
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For the Hahn and Krawtchouk polynomials orthogonal on the set {0, . . . , N} new identities for the sum of squares are derived which generalize the trigonometric identity for the Chebyshev polynomials of the first and second kind. These results are applied in order to obtain conditions (on the degree of the polynomials) such that the polynomials are bounded (on the interval [0, N ]) by their va...
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Recent studies show that the adult phonological processing system constantly changes as a result of word processing experience; adult speakers can learn new sound patterns from brief experience processing words that exhibit the sound patterns, and how they process words changes as a result of learning. But how malleable is the phonological processing system and what is the mechanism underlying ...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2016
ISSN: 1687-1847
DOI: 10.1186/s13662-016-0982-4