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centered triangular numbers 1generating functions 1hurwitz-lerch functions 1inversion formulas 1special values 1

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math.CO2026

An Invertible Family of Hurwitz--Lerch Type Functions Associated with -Augmented Centered Triangular Numbers

Noel B. Lacpao, Rushel S. Acope, Marlon S. Frias +3

The paper introduces a family of Hurwitz–Lerch type functions whose coefficients are k‑augmented centered triangular numbers, and derives convergence conditions, reduction and inve…