A family of Hurwitz-Lerch type functions is defined whose coefficients are k-augmented centered triangular numbers, and three consecutive members provably invert to the classical Hurwitz-Lerch function and its first two Euler derivatives.
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An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers
A family of Hurwitz-Lerch type functions is defined whose coefficients are k-augmented centered triangular numbers, and three consecutive members provably invert to the classical Hurwitz-Lerch function and its first two Euler derivatives.