Four such types of data that are arising in the context of current scientific research and that the project will be focusing on are: random integral transforms
, random unlabelled shapes, random flows of functions, and random tensor fields.
Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms
Uniqueness theorem] If F(v) and G(v) are a new integral transforms
of f(t) and g(t) respectively, then:
Klusch, Astrophysical Spectroscopy and neutron reactions, Integral transforms
and Voigt functions, Astrophys.
Readers are assumed to have previous experience with elementary aspects of mathematical analysis including the theory of integral transforms
and Laplace and Fourier type.
Bettaieb, On Hardy's inequality for symmetric integral transforms
and analogous, App.
We shall assume that the reader is familiar with the concept Boehmian spaces and their integral transforms
(see , ,  and [3, 6, 8, 9]).
He develops the most important integral transforms
with their variations, and elucidates their use with many examples.
Tables of Integral Transforms
, Vol-1, McGraw-Hill Book Company, NewYork, Toronto, London (1954).
Chebyshev polynomials, modified Bessel functions, Lanczos Tau method, Kontorovich-Lebedev integral transforms
The primary topics include: theory of analytic functions, integral transforms
, generalized functions, eigenfunction expansions, Green functions, and boundary-value problems.
Swaminathan, Starlikeness of integral transforms
and duality, J.