Geodesic
Abelian Theorems for Hardy Transformations
Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 331-335

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

Initial and final value theorems for Hardy transformations and of a suitably chosen function f(x) under a certain set of conditions on v and p where 1 Jv (x) and Yv (x) being Bessel functions of the first and second kind, and 2 su, v (x) being Lommel's function, are proved. 
Pathak, R. S.; Pandey, J. N. Abelian Theorems for Hardy Transformations. Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 331-335. doi: 10.4153/CMB-1977-050-1
@article{10_4153_CMB_1977_050_1,
     author = {Pathak, R. S. and Pandey, J. N.},
     title = {Abelian {Theorems} for {Hardy} {Transformations}},
     journal = {Canadian mathematical bulletin},
     pages = {331--335},
     year = {1977},
     volume = {20},
     number = {3},
     doi = {10.4153/CMB-1977-050-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-050-1/}
}
TY  - JOUR
AU  - Pathak, R. S.
AU  - Pandey, J. N.
TI  - Abelian Theorems for Hardy Transformations
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 331
EP  - 335
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-050-1/
DO  - 10.4153/CMB-1977-050-1
ID  - 10_4153_CMB_1977_050_1
ER  - 
%0 Journal Article
%A Pathak, R. S.
%A Pandey, J. N.
%T Abelian Theorems for Hardy Transformations
%J Canadian mathematical bulletin
%D 1977
%P 331-335
%V 20
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-050-1/
%R 10.4153/CMB-1977-050-1
%F 10_4153_CMB_1977_050_1

[1] 1. Cooke, R. G., The inversion formulae of Hardy and Titchmarsh. Proc. London Math. Soc. 24 (1925), 381-420. Google Scholar

[2] 2. Erdély, A., (Editor). Tables of integral transforms, Vol. I (McGraw-Hill Book Co., Inc., New York, 1954). Google Scholar

[3] 3. Erdély, A., (Editor). Tables of integral transforms, Vol. II (McGraw-Hill Book Co., Inc., New York, 1954). Google Scholar

[4] 4. Hardy, G. H., Some formulae in the theory of Bessel functions. Proc. London Math. Soc. 23 (1925), lxi-lxiii. Google Scholar

[5] 5. Pathak, R. S., and Pandey, J. N., A distributional Hardy transformation. Proc. Camb. Phil. Soc. 76 (1974), 247-262. Google Scholar

[6] 6. Pathak, R. S., and Pandey, J. N., A distributional Hardy transformation II. Submitted for publication. Google Scholar

[7] 7. Watson, G. N., A treatise on the theory of Bessel functions (Cambridge University Press, second edn., 1962). Google Scholar

[8] 8. Widder, D. V., The Laplace Transform (Priceton University Press, 1946). Google Scholar

[9] 9. Zemanian, A. H., Some abelian theorems for the Distributional Hankel and K transformations, SIAM J. Appl. Math., Vol. 14 (1966), 1106-1111. Google Scholar

Cité par Sources :