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The subject of the special functions of the single complex variable
and several complex variables occupies a great attention in almost
all disciplines Mathematics, Physics and Engineering. The present
work is devoted to study this subject, taking it into account as
one of several theses, which presented and still being presented by
Specialists in complex analysis. The main aim of this thesis de
ning and studying of some special functions which contain two
complex variables such as Bessel matrix function, Tricomi matrix
function, Horn matrix function and Struve matrix function and also
providing special inequalities of Bessel functions and modi ed
Bessel functions and Tricomi functions of two scalar index of two
complex variables and of their ratios."
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