Geodesic
A Unified Class of Polynomials
Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 3 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper we propose to study the polynomial set $\left\{f^{(\alpha)}_n\right\}(x)$ satisfying the functional relation $ T(\Delta_\alpha)\left\{f^{(\alpha)}_n(x)\right\}= f^{(\alpha+1)}_{n-1}(x), \qquad n=1,2,3,\dots, $ where $f(\alpha)_n(x)$ is the polynomial of degree $n$ in $x$ and $T$ is the operator of infinite order defined by $ T(\Delta_\alpha)= \sum_{k=0}^\infty h_k^{(\alpha)}\Delta_\alpha^{k+1}, \enskip h_0^{(\alpha)}\neq 0, $ in which $\Delta_\alpha \{f(\alpha)\}= f(\alpha+1)-f(\alpha)$. 
@article{PIM_1983_N_S_33_47_a0,
     author = {Hukum C and and Agrawal},
     title = {A {Unified} {Class} of {Polynomials}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1983},
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     number = {47},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a0/}
}
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Hukum C; and Agrawal. A Unified Class of Polynomials. Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 3 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a0/