Some Properties of the Non-central Stirling Numbers of the Second Kind with Complex Parameters
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.6069Keywords:
Classical Stirling numbers, Non-central Stirling numbers, Complex numbersAbstract
This work extends the non-central Stirling numbers of the second kind to complex arguments. This extension is achieved through an integral representation employing a Hankel contour. Furthermore, we investigate the extent to which key properties, including the recurrence relations, of the classical Stirling numbers are preserved under this complex generalization.
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Copyright (c) 2025 Erwin Arlan, Dr. Maribeth B. Montero
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