Division Problem of a Regular Form: The Casex2u=λxv | Zendy

Marwa Mejri | Zendy

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Division Problem of a Regular Form: The Casex2u=λxv

Author(s) -

Marwa Mejri

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/794593

Subject(s) - mathematics , semiclassical physics , combinatorics , sequence (biology) , order (exchange) , character (mathematics) , algebra over a field , pure mathematics , geometry , physics , finance , quantum mechanics , biology , economics , quantum , genetics

We present a systematic study of a regular linear functionalv to find all regular forms u which satisfy the equation x2u=λxv, λ∈ℂ−{0}. We also give the second-order recurrence relation ofthe orthogonal polynomial sequence with respect to u and study the semiclassicalcharacter of the found families. We conclude by treating someexamples

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