Division Problem of a Regular Form : The Case x2u=λxv

Author

Mejri, M.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-05-29

Country of Publication

Egypt

No. of Pages

23

Main Subjects

Mathematics

Abstract EN

We present a systematic study of a regular linear functional v to find all regular forms u which satisfy the equation x2u=λxv, λ∈ℂ−{0}.

We also give the second-order recurrence relation of the orthogonal polynomial sequence with respect to u and study the semiclassical character of the found families.

We conclude by treating some examples.

American Psychological Association (APA)

Mejri, M.. 2011. Division Problem of a Regular Form : The Case x2u=λxv. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-498686

Modern Language Association (MLA)

Mejri, M.. Division Problem of a Regular Form : The Case x2u=λxv. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-498686

American Medical Association (AMA)

Mejri, M.. Division Problem of a Regular Form : The Case x2u=λxv. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-498686

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-498686