3 papers
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
This paper defines a family of Hurwitz--Lerch type functions whose coefficients are the \(k\)-augmented centered triangular numbers. For this family, we obtain the convergence cond…
math.CO2026
Mersenne-Lerch Interpolation Values and Apostol-Mersenne Polynomial Families
Noel Lacpao
This paper introduces Bernoulli-type and Euler-type Mersenne-Lerch interpolation families associated with Apostol-Mersenne polynomial families. Their construction is based on the M…
math.CO2025
Degenerate Hurwitz-Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers with Parameters $(α,a)
Noel B. Lacpao, Roberto B. Corcino
In this paper, we introduce degenerate Hurwitz-Lerch type families of poly-Bernoulli and poly-Cauchy numbers with parameters . These families are defined by means of degener…