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The Mathematics Enthusiast

Authors

Raul Prisacariu

Volume

15

Issue

3

Abstract

In this paper, we apply Whittaker’s formula on 2nd degree polynomial equations of the form: x2 + 2x – (k−1), where k≥2 and k∈𝑁. By applying Whittaker’s formula on these polynomial equations, we obtain infinite series for √𝑘 that involve integers belonging to specific k-Pell sequences. More specifically, the infinite series of √𝑘 will be made of terms containing the successive integers belonging to the k-Pell sequence {𝑃𝑘−1,𝑛}𝑛.

First Page

423

Last Page

428

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