S. Valluri

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math-ph2026

Analytic Integration of the Lambert W Cosmic Fluid Model H(z) Formula

Ken Roberts, S. R. Valluri

The Lambert $W$ (LW) model for the cosmic fluid equation of state was proposed by S. Saha and K. Bamba in 2019-2020. A recent (early 2026) paper by Dubey, et al, carries out a new…

math-ph2026

Geometric Analysis of the Damped Harmonic Oscillator via the Lambert W Function

Arpan Sharma, Bhargava R. Jogi, Ken Roberts +2

The underdamped harmonic oscillator is analyzed through the complex mapping $I^¶ = e^{- i I ¨ } w e^{- w}$ with $w = I^^{2} t + i I^c ◯ t$ , which transforms the dynamics into a logarithmic spiral. Wi…