Generating k-Pell Infinite Series Using Whittaker’s Formula

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 {𝑃_{𝑘−1,𝑛}}_𝑛.

First Page

423

Last Page

428

Recommended Citation

Prisacariu, Raul (2018) "Generating k-Pell Infinite Series Using Whittaker’s Formula," The Mathematics Enthusiast: Vol. 15 : No. 3 , Article 7.
DOI: https://doi.org/10.54870/1551-3440.1438
Available at: https://scholarworks.umt.edu/tme/vol15/iss3/7

Digital Object Identifier (DOI)

10.54870/1551-3440.1438