A Study On Generalized (r,s,t,u,v,y)-Numbers

  • Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
Keywords: Hexanacci numbers,, (r,s,t,u,v,y) numbers,, Lucas (r,s,t,u,v,y) numbers,, modified (r,s,t,u,v,y) numbers.

Abstract

In this paper, we introduce the generalized (r,s,t,u,v,y) sequence and we deal with, in detail, three special cases which we call them (r,s,t,u,v,y), Lucas (r,s,t,u,v,y) and modified (r,s,t,u,v,y) sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

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References

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Published
2020-11-27
How to Cite
Soykan, Y. (2020). A Study On Generalized (r,s,t,u,v,y)-Numbers. Journal of Progressive Research in Mathematics, 17(1), 54-72. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/1951
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Articles

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