A short note on the Pell-Lucas-Eisenstein series


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UYSAL M., İNAM İ., ÖZKAN E.

Asian-European Journal of Mathematics, cilt.15, sa.5, 2022 (ESCI) identifier identifier

Özet

© 2022 World Scientific Publishing Company.In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. First, we show that the Pell-Lucas-Eisenstein series are convergent on their domain. Afterwards we prove that they satisfy some certain functional equations. Proofs follows from some on calculations on Pell-Lucas numbers.