This book (Vista 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 of the functional equations. Vista II
gives an organic and elucidating presentation of the situations
where special functions can be effectively used. Vista II will
provide the reader ample opportunity to find suitable formulas and
the means to apply them to practical problems for actual research.
It can even be used during tutorials for paper writing.
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