# A Note on the Solutions to a Transcendental Equation

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 44, (2014), **Pages** 35-44

**Mihaela-Cristina Drignei**

Division of Physical and Computational Sciences,

University of Pittsburgh at Bradford,

Bradford, PA 16701, USA

**Abstract** We show that the transcendental equation , with *H* a real number has only real solutions, which are countably many, simple, and there exists a positive *H*_{0} such that the positive solutions satisfy

as ,

for each , and

, as .

**Keywords** transcendental equation, implicit function theorem.

**Classification** (MSC2000) 34E05.

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