Journal of Integer Sequences, Vol. 21 (2018), Article 18.4.1

On Two New Classes of B-q-bonacci Polynomials

Suchita Arolkar
Department of Mathematics and Statistics
Dnyanprassarak Mandal’s College and Research Centre
Assagao Bardez Goa
403 507, India

Yeshwant Shivrai Valaulikar
Department of Mathematics
Goa University
Taleigao Plateau Goa
403 206, India


In this paper we define two new classes of polynomials associated with generalized Fibonacci polynomials. We call them h(x)-B-q-bonacci polynomials and incomplete h(x)-B-q-bonacci polynomials. We present some identities for the two classes of polynomials, and the convolution property of h(x)-B-q-bonacci polynomials and its applications.

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Received October 3 2017; revised versions received October 5 2017; March 16 2018; April 4 2018; April 6 2018. Published in Journal of Integer Sequences, May 7 2018.

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