Here the product formula for the generalized and suitably normalized Hermite polynomials with parameter \(\mu \geqslant 0\) will be explicitly established. Its measure turns out to be absolutely continuous and supported on two disjoint intervals lying symmetrically on the real line, provided that \(
A generalized tableau associated with colored convolution trees
โ Scribed by A.G. Shannon; J.C. Turner; K.T. Atanassov
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 606 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
Shannon, A.G., J.C. Turner and K.T. Atanassov, A generalized tableau associated with colored convolution trees, Discrete Mathematics 92 (1991) 329-349. This paper considers the tableaux arising from the colors at different levels of arbitrary order convolution trees. The results are related to the elements which constitute the Pascal-Lucas-Turner triangles and to various generalizations of the Fibonacci numbers, some formed by altering the order of the recurrence relations and some by coupling some second order recurrence relations.
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