On New Sequences of $p$-Binomial and Catalan Transforms of the $k$-Mersenne Numbers and Associated Generating Functions

On New Sequences of $p$-Binomial and Catalan Transforms of the $k$-Mersenne Numbers and Associated Generating Functions

In this work, we investigate the binomial transforms and Catalan transform of the $k$-Mersenne and $k$-Mersenne-Lucas numbers and examine the new integer sequences. We apply the $p$-binomial, rising $p$-binomial, and falling $p$-binomial transforms to the $k$-Mersenne sequences and present the assoc...

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Bibliographic Details
Main Authors: Kalika Prasad, Hrishikesh Mahato, Ritanjali Mohanty, Munesh Kumari
Format: Article
Language:English
Published: Emrah Evren KARA 2025-06-01
Series:Universal Journal of Mathematics and Applications
Subjects:
catalan transform
generating functions
$k$-mersenne and $k$-mersenne-lucas numbers
$p$-binomial transforms
Online Access:https://dergipark.org.tr/en/download/article-file/4614774
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