Geodesic
Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type
Communications in Mathematics, Tome 28 (2020) no. 1, pp. 13-25

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation. We establish Parseval equality and an expansion formula for this equation on a semi-unbounded interval.
Classification : 34B40, 34L10, 39A12, 39A13, 39A70
Keywords: Hahn's Sturm-Liouville equation; spectral function; Parseval equality; spectral expansion. 
@article{COMIM_2020__28_1_a1,
     author = {Allahverdiev, Bilender P. and Tuna, H\"useyin},
     title = {Spectral {Theory} of {Singular} {Hahn} {Difference} {Equation} of the {Sturm-Liouville} {Type}},
     journal = {Communications in Mathematics},
     pages = {13--25},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2020},
     mrnumber = {4124287},
     zbl = {07368970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2020__28_1_a1/}
}
TY  - JOUR
AU  - Allahverdiev, Bilender P.
AU  - Tuna, Hüseyin
TI  - Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type
JO  - Communications in Mathematics
PY  - 2020
SP  - 13
EP  - 25
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2020__28_1_a1/
LA  - en
ID  - COMIM_2020__28_1_a1
ER  - 
%0 Journal Article
%A Allahverdiev, Bilender P.
%A Tuna, Hüseyin
%T Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type
%J Communications in Mathematics
%D 2020
%P 13-25
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2020__28_1_a1/
%G en
%F COMIM_2020__28_1_a1
Allahverdiev, Bilender P.; Tuna, Hüseyin. Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type. Communications in Mathematics, Tome 28 (2020) no. 1, pp. 13-25. http://geodesic.mathdoc.fr/item/COMIM_2020__28_1_a1/