Two Parameters For Ramanujan's Theta-Functions and Their Explicit Values

On special values of theta functions of genus two

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Comprehensive Simulation for Two-diode Model of Photovoltaic Cells in SimPowerSystems Using Explicit Mathematical Functions

In this paper, using Thevenin’s theorem and also nonlinear Lambert W function, a novel two-diode model of photovoltaic cells is presented in mathematical explicit manner. In comparison with existing explicit models in the literature which are valid exclusively for n2=n1 and n2=2n1, this model includes a wide range of silicon-based cells with arbitrary diodes ideality factors. Acquiring regulati...

Some theorems on the explicit evaluation of Ramanujan's theta-functions

Bruce C. Berndt et al. and Soon-Yi Kang have proved many of Ramanujan’s formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class invariants. In this note, we give alternative proofs of some of these identities of theta-functions recorded by Ramanujan in his notebooks and deduce some formulas for the explicit evaluation...

On Two Fifth Order Mock Theta Functions

We consider the fifth order mock theta functions χ0 and χ1, defined by Ramanujan, and find identities for these functions, which relate them to indefinite theta functions. Similar identities have been found by Andrews for the other fifth order mock theta functions and the seventh order functions.

Factorization of rank two theta functions