REPRESENTATION FORMULAS FOR ENTIRE-FUNCTIONS OF EXPONENTIAL-TYPE AND GENERALIZED BERNOULLI POLYNOMIALS

Authors
FRAPPIER C
Citation
C. Frappier, REPRESENTATION FORMULAS FOR ENTIRE-FUNCTIONS OF EXPONENTIAL-TYPE AND GENERALIZED BERNOULLI POLYNOMIALS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 307-316
Citations number
7
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
3
Pages
307 - 316
Database
ISI
SICI code
0263-6115(1998)64:<307:RFFEOE>2.0.ZU;2-6
Abstract
We introduce a sequence of polynomials which are extensions of the cla ssic Bernoulli polynomials. This generalization is obtained by using t he Bessel functions of the first kind. We use these polynomials to eva luate explicitly a general class of series containing an entire functi on of exponential type.