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March 21, 20260 citations

On some infinite matrices of binomial type and their generating functions

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MEMurat ErdoğanCDCenap DuyarNDNi̇lay Deği̇rmen

Key Points

  • The research focuses on identifying generating functions for special infinite matrices and deriving formulas for their inputs.
  • Investigated special infinite matrices formed through specific number sequences.
  • Derived formulas for elements in the infinite matrix.
  • Analyzed rows and columns to identify known and unknown sequences.
  • Formulated generating functions for various infinite matrices.
  • Identified multiple sequences with a unified formula across rows and columns.

Abstract

In this study, we aim to detect the generating functions of some special infinite matrices created with the help of special number sequences, then to obtain a formula for the inputs of the infinite matrix. Moreover, we study to determine some known or unknown sequences in each row and column of the infinite matrix. Also, we specify a countable many of sequences with a single formula.

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Cite This Study

Erdoğan et al. (2026) studied this question.

synapsesocial.com/papers/69be35836e48c4981c673d74https://doi.org/10.1051/ita/2026011/pdf
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