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This book ("Vistas II"), is a sequel to "Vistas of Special Functions" (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In "Vista II", which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical "Fourier" series as intermediate modular relations - avatars ...