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References (12)
-
(1994)
Computing the moments of the density of the zeros of classical and semiclassical orthogonal polynomials. (Italian) Calcolo -
Tiziana Isoni, P. Natalini, P. Ricci (2001)
Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential OperatorsNumerical Algorithms, 28
-
(1977)
On the generalized discrete distributions and the Bell polynomialsReceived 17.11.2003; revised 1.06.2004) Author's address: Università di Roma " La Sapienza -
(2003)
Bell polynomials and some of their applications -
K. Case (1980)
Sum rules for zeros of polynomials. IIJournal of Mathematical Physics, 21
-
G. Dattoli, P. Ricci (2003)
Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions, 10
-
(1994)
Computing the moments of the density of the zeros of classical and semiclassical orthogonal polynomials -
J. Riordan (1958)
Introduction to Combinatorial Analysis -
(1980)
Le Matematiche -
P. Natalini, P. Ricci (2000)
Computation of Newton sum rules for polynomial solutions of O.D.E. with polynomial coefficients, 3
-
E. Buend́ıa, J. Dehesa, F. Gálvez (1988)
The distribution of zeros of the polynomial eigenfunctions of ordinary differential operators of arbitrary order -
(2003)
On the generalized discrete distributions and the Bell polynomials
- Publisher
- de Gruyter
- Copyright
- © Heldermann Verlag
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.2004.409
- Publisher site
- See Article on Publisher Site
Abstract
A recursion formula for the coefficients of entire functions which are solutions of linear differential equations with polynomial coefficients is derived. Some explicit examples are developed. The Newton sum rules for the powers of zeros of a class of entire functions are constructed in terms of Bell polynomials.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2004
Keywords: Entire solutions of ODE with polynomial coefficients; recursion formulas for coefficients; Newton sum rules for reciprocal of zeros; Bell polynomials