caa a22 4500 388046899 CHVBK 20180307125040.0 cr unu---uuuuu 161130e199806 xx s 000 0 eng 10.1017/S1446788700039185 doi S1446788700039185 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700039185 Frappier C. Départment de Mathématiques et de Génie industriel École Polytechnique de Montréal Campus de l'Université de Montréal C.P. 6079, Succursale Centre-Ville Montréal (Québec) Canada H3C 3A7 e-mail address: clement.frappier@courrier.polymtl.ca Representation formulas for entire functions of exponential type and generalized bernoulli polynomials [Elektronische Daten] [C. Frappier] We introduce a sequence of polynomials which are extensions of the classic Bernoulli polynomials. This generalization is obtained by using the Bessel functions of the first kind. We use these polynomials to evaluate explicitly a general class of series containing an entire function of exponential type. Copyright © Australian Mathematical Society 1998 primary 30D10 nationallicence 33C10 nationallicence 12E10 nationallicence Journal of the Australian Mathematical Society Cambridge University Press 64/3(1998-06), 307-316 1446-7887 64:3<307 1998 64 JAZ https://doi.org/10.1017/S1446788700039185 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700039185 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Frappier C. Départment de Mathématiques et de Génie industriel École Polytechnique de Montréal Campus de l'Université de Montréal C.P. 6079, Succursale Centre-Ville Montréal (Québec) Canada H3C 3A7 e-mail address: clement.frappier@courrier.polymtl.ca NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 64/3(1998-06), 307-316 1446-7887 64:3<307 1998 64 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge