A Recursion Formula for the Coefficients of Entire Functions Satisfying an ODE with Polynomial Coefficients
Keyword(s):
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.
1870 ◽
Vol 18
(114-122)
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pp. 210-212
2017 ◽
Vol 165
(1)
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pp. 93-108
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2018 ◽
Vol 28
(3)
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pp. 1-15