Incomplete Bivariate Fibonacci and Lucas p-Polynomials

Joint Authors

Tasci, Dursun
Tuglu, Naim
Cetin Firengiz, Mirac

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-04-23

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We define the incomplete bivariate Fibonacci and Lucas p-polynomials.

In the case x=1, y=1, we obtain the incomplete Fibonacci and Lucas p-numbers.

If x=2, y=1, we have the incomplete Pell and Pell-Lucas p-numbers.

On choosing x=1, y=2, we get the incomplete generalized Jacobsthal number and besides for p=1 the incomplete generalized Jacobsthal-Lucas numbers.

In the case x=1, y=1, p=1, we have the incomplete Fibonacci and Lucas numbers.

If x=1, y=1, p=1, k=⌊(n-1)/(p+1)⌋, we obtain the Fibonacci and Lucas numbers.

Also generating function and properties of the incomplete bivariate Fibonacci and Lucas p-polynomials are given.

American Psychological Association (APA)

Tasci, Dursun& Cetin Firengiz, Mirac& Tuglu, Naim. 2012. Incomplete Bivariate Fibonacci and Lucas p-Polynomials. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-502377

Modern Language Association (MLA)

Tasci, Dursun…[et al.]. Incomplete Bivariate Fibonacci and Lucas p-Polynomials. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-502377

American Medical Association (AMA)

Tasci, Dursun& Cetin Firengiz, Mirac& Tuglu, Naim. Incomplete Bivariate Fibonacci and Lucas p-Polynomials. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-502377

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-502377