Browsing Mathematics by Author "Arolkar, S."

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h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials

Arolkar, S.; Valaulikar, Y.S. (Kyungpook Mathematical Journal. 56(4); 2016; 1125-1133.)

In this paper we introduce h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials. We also obtain the identities for these polynomials.
Identities involving partial derivatives of bivariate B-q bonacci and B-q Lucas polynomials

Arolkar, S.; Valaulikar, Y.S. (Palestine Journal of Mathematics. 9(1); 2020; 347-353.)

In this paper some identities of (k, j) sup(th) order partial derivatives of B-q bonacci and B-q Lucas polynomials with respect to x and y are introduced.
On a B-q bonacci Sequence

Arolkar, S.; Valaulikar, Y.S. (International Journal of Advances in Mathematics. 2017(1); 2017; 1-8.)

In this paper q-th order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, ...
On two new classes of B-q-bonacci polynomials

Arolkar, S.; Valaulikar, Y.S. (Journal of Integer Sequences. 21; 2018; ArticleID_18.4.1-.)

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 ...

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