ON ZEROS OF AN ENTIRE FUNCTION HAVING
AN INTEGRAL REPRESENTATION AND COINCIDING
WITH EXPONENTIAL-TYPE QUASIPOLYNOMS
Nurlan S. Imanbaev
Department of Mathematics
South Kazakhstan State Pedagogical University
Baitursynov str. 13
Shymkent - 160012, KAZAKHSTAN
and
Institute of Mathematics and
Mathematical Modeling, Pushkin str. 125
Almaty - 050010, KAZAKHSTAN

Abstract

In this paper, we study zeros of an entire function of the following special form:

\begin{displaymath} \Delta(\lambda) = \sum_{k=1}^N P_k\cdot\lambda^{m_k} \cdot... ...lambda} + \int\limits_{-1}^1 e^{\lambda t} \cdot \Phi(t) dt, \end{displaymath}

which is a linear combination of functions previously studied in [#!18!#], [#!19!#], [#!20!#], [#!21!#] associated with regular differential operators of the third and first orders on an interval.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 3
Year: 2022

DOI: 10.12732/ijam.v35i3.6

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