Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1238.05007
Eğecioğlu, Ömer
Bessel polynomials and the partial sums of the exponential series.
(English)
[J] SIAM J. Discrete Math. 24, No. 4, 1753-1762 (2010). ISSN 0895-4801; ISSN 1095-7146/e

Summary: Let $\varepsilon_k(x)$ denote the $k$th partial sum of the Maclaurin series for the exponential function. Define the $(n+ 1)\times(n+ 1)$ Hankel determinant by setting $\widetilde H_n(x)= \text{det}[e_{i+j}(x)]_{0\le i,j\le n}$. We give a closed form evaluation of this determinant in terms of the Bessel polynomials using the method of recently introduced $\gamma$-operators.
MSC 2000:
*05A10 Combinatorial functions
05A15 Combinatorial enumeration problems
05A19 Combinatorial identities
11C20 Matrices, determinants
33C45 Orthogonal polynomials and functions of hypergeometric type

Keywords: Bessel polynomials; exponential series; Hankel determinants

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences