A procedure for deriving inversion formulae for integral transform pairs of a general kind
Glasgow mathematical journal, Tome 9 (1968) no. 1, pp. 67-77

Voir la notice de l'article provenant de la source Cambridge University Press

In recent years there have appeared solutions of several integral equations of the typein which the kernel K(x) contains (as a factor) one of the classical orthogonal polynomials or a hypergeometric function.
Sneddon, Ian N. A procedure for deriving inversion formulae for integral transform pairs of a general kind. Glasgow mathematical journal, Tome 9 (1968) no. 1, pp. 67-77. doi: 10.1017/S001708950000029X
@article{10_1017_S001708950000029X,
     author = {Sneddon, Ian N.},
     title = {A procedure for deriving inversion formulae for integral transform pairs of a general kind},
     journal = {Glasgow mathematical journal},
     pages = {67--77},
     year = {1968},
     volume = {9},
     number = {1},
     doi = {10.1017/S001708950000029X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000029X/}
}
TY  - JOUR
AU  - Sneddon, Ian N.
TI  - A procedure for deriving inversion formulae for integral transform pairs of a general kind
JO  - Glasgow mathematical journal
PY  - 1968
SP  - 67
EP  - 77
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950000029X/
DO  - 10.1017/S001708950000029X
ID  - 10_1017_S001708950000029X
ER  - 
%0 Journal Article
%A Sneddon, Ian N.
%T A procedure for deriving inversion formulae for integral transform pairs of a general kind
%J Glasgow mathematical journal
%D 1968
%P 67-77
%V 9
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950000029X/
%R 10.1017/S001708950000029X
%F 10_1017_S001708950000029X

[1] 1.Li, Ta, A new class of integral transforms, Proc. Amer. Math. Soc. 11 (1960), 290–298. Google Scholar | DOI

[2] 2.Buschman, R. G., An inversion integral for a Legendre transformation, Amer. Math. Monthly 69 (1962), 288–289. Google Scholar | DOI

[3] 3.Higgins, T. P., An inversion integral for a Gegenbauer transformation, J. Soc. Indust. Appl. Math. 11 (1963), 886–893. Google Scholar | DOI

[4] 4.Srivastava, K. N., Inversion integrals involving Jacobi's polynomials, Proc. Amer. Math. Soc. 15 (1964), 635–638. Google Scholar

[5] 5.Srivastava, K. N., On some integral equations involving Jacobi polynomials, Math. Japon. 9 (1964), 85–88. Google Scholar

[6] 6.Erdélyi, A., An integral equation involving Legendre functions, J. Soc. Indust. Appl. Math. 12 (1964), 15–30. Google Scholar | DOI

[7] 7.Higgins, T. P., A hypergeometric function transform, J. Soc. Indust. Appl. Math. 12 (1964), 601–612. Google Scholar | DOI

[8] 8.Wimp, Jet, Two integral transform pairs involving hypergeometric functions, Proc. Glasgow Math. Assoc. 7 (1965), 42–44. Google Scholar | DOI

[9] 9.Sneddon, I. N., Fourier transforms, McGraw-Hill (New York, 1951). Google Scholar

[10] 10.Slater, L. J., Generalized hypergeometric functions, Cambridge University Press (Cambridge, 1966). Google Scholar

[11] 11.Erdélyi, A. et al. , Tables of integral transforms, Vol. 1, McGraw-Hill (New York, 1954). Google Scholar

Cité par Sources :