Abstract and Applied Analysis

Dynamics of the Zeros of Analytic Continued ( h , q ) -Euler Polynomials

C. S. Ryoo

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In this paper, we study that the ( h , q ) -Euler numbers E n , q ( h ) and ( h , q ) -Euler polynomials E n , q ( h ) ( x ) are analytic continued to E q ( h ) ( s ) and E q ( h ) ( s , w ) . We investigate the new concept of dynamics of the zeros of analytic continued polynomials related to solution of Bernoulli equation. Finally, we observe an interesting phenomenon of “scattering” of the zeros of E q ( h ) ( s , w ) .

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 537864, 9 pages.

First available in Project Euclid: 27 February 2015

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Ryoo, C. S. Dynamics of the Zeros of Analytic Continued $(h,q)$ -Euler Polynomials. Abstr. Appl. Anal. 2014 (2014), Article ID 537864, 9 pages. doi:10.1155/2014/537864. https://projecteuclid.org/euclid.aaa/1425049865

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