On three pairs of Lucas and Fibonacci-type combinatorial $\boldsymbol{p}$-entities

R. Rangarajan; C. Goutham; Siva Kota Reddy Polaepalli

doi:10.5269/bspm.76826

R. Rangarajan University of Mysore, Mysuru
C. Goutham University of Mysore, Mysuru
Siva Kota Reddy Polaepalli JSS Science and Technology University http://orcid.org/0000-0003-4033-8148

Abstract

This work uses a general integer parameter $p$ to try to generalise $3$-pairs of subsequences of Fibonacci numbers and Lucas numbers. In this study, we focus on constructing $3$-pairs of generalized Lucas and Fibonacci-type combinatorial $p$-entities that satisfy a more general quadratic Diaphantine equation of the kind $x^2-Ny^2= \pm k2$. Separate sections present a variety of Discrete Mathematical features of the combinatorial $p$-entities.

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Author Biographies

R. Rangarajan, University of Mysore, Mysuru

Senior Professor, Department of Studies in Mathematics, University of Mysore, Mysuru

C. Goutham, University of Mysore, Mysuru

Research Scholar, Department of Studies in Mathematics, University of Mysore, Mysuru

Siva Kota Reddy Polaepalli, JSS Science and Technology University

Professor, Departmnet of Mathematics, JSS Science and Technology, Mysuru-570 006, India

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