The operator rϕs and the polynomials Kn
Other Title(s)
المؤثر و متعددة الحدود
Joint Authors
Khalaf, Sadiq Majid
Sad, Husam Luti
Source
Issue
Vol. 37, Issue 1 (30 Jun. 2019), pp.25-43, 19 p.
Publisher
University of Basrah College of Science
Publication Date
2019-06-30
Country of Publication
Iraq
No. of Pages
19
Main Subjects
Abstract EN
Abstract Based on basic hypergeometric series, a new generalized -operator Φ has been constructed and obtained some operator identities.
Also, a new polynomial is introduced.
The generating function and its extension, Mehler’s formula and its extension and the Rogers formula for the polynomials have been achieved by using the operator Φ .
In fact, this work can be considered as a generalization of Liu work’s by imposing some special values of the parameters in our results.
Therefore the -Rogers-Szegö polynomials can be deduced directly.
American Psychological Association (APA)
Sad, Husam Luti& Khalaf, Sadiq Majid. 2019. The operator rϕs and the polynomials Kn. Basrah Journal of Science،Vol. 37, no. 1, pp.25-43.
https://search.emarefa.net/detail/BIM-946678
Modern Language Association (MLA)
Sad, Husam Luti& Khalaf, Sadiq Majid. The operator rϕs and the polynomials Kn. Basrah Journal of Science Vol. 37, no. 1 (2019), pp.25-43.
https://search.emarefa.net/detail/BIM-946678
American Medical Association (AMA)
Sad, Husam Luti& Khalaf, Sadiq Majid. The operator rϕs and the polynomials Kn. Basrah Journal of Science. 2019. Vol. 37, no. 1, pp.25-43.
https://search.emarefa.net/detail/BIM-946678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 41-42
Record ID
BIM-946678