D. Batenkov, Moment inversion problem for piecewise D-finite functions, Inverse Problems, vol.25, issue.10, p.24, 2009.

A. Bostan, F. Chyzak, P. Lairez, and B. Salvy, Generalized hermite reduction, creative telescoping and definite integration of d-finite functions, Proceedings of International Symposium on Symbolic and Algebraic Computation, pp.95-102, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01788619

F. Chyzak, The ABC of Creative Telescoping: Algorithms, Bounds, Complexity. Memoir of accreditation to supervise research (HDR), 2014.
URL : https://hal.archives-ouvertes.fr/tel-01069831

P. Ebenfelt, B. Gustafsson, D. Khavinson, and M. Putinar, of Operator Theory: Advances and Applications, vol.156, 2005.

A. Galligo, Some algorithmic questions on ideals of differential operators, European Conference on Computer Algebra, pp.413-421, 1985.

G. H. Golub, P. Milanfar, and J. Varah, A stable numerical method for inverting shape from moments, SIAM Journal on Scientific Computing, vol.21, issue.4, pp.1222-1243, 1999.

N. Gravin, J. Lasserre, D. V. Pasechnik, and S. Robins, The inverse moment problem for convex polytopes, Discrete & Comp. Geometry, vol.48, issue.3, pp.596-621, 2012.

E. L. Ince, Ordinary Differential Equations, 1956.

S. Karlin and W. J. Studden, Tchebycheff systems: With applications in analysis and statistics, Pure and Applied Mathematics, 1966.

C. Koutschan, Advanced applications of the holonomic systems approach, Research Institute for Symbolic Computation (RISC), 2009.

C. Koutschan, Advanced applications of the holonomic systems approach, ACM Comm. Computer Algebra, vol.43, p.119, 2009.

J. B. Lasserre, Moments, positive polynomials and their applications, vol.1, 2010.

J. B. Lasserre, Recovering an homogeneous polynomial from moments of its level set, Discrete Comput. Geom, vol.50, issue.3, pp.673-678, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00725422

J. B. Lasserre and M. Putinar, Algebraic-exponential data recovery from moments, Discrete Comput. Geom, vol.54, issue.4, pp.993-1012, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00936719

B. Mourrain, Polynomial-exponential decomposition from moments, Found. Comput. Math, vol.18, issue.6, pp.1435-1492, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01367730

F. Natterer, The mathematics of computerized tomography, Classics in Applied Mathematics. (SIAM), vol.32, 2001.

T. Oaku, Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities, J. Symbolic Comput, vol.50, pp.1-27, 2013.

L. Schwartz, Théorie des distributions, 1966.

N. Takayama, An algorithm of constructing the integral of a module-an infinite dimensional analog of gröbner basis, Proceedings of the International Symposium on Symbolic and Algebraic Computation, pp.206-211, 1990.

H. Whitney, Geometric integration theory, 1957.