On a spectral theory of singular Hahn difference equation of a Sturm‐Liouville type problem with transmission conditions

This study is based upon investigations of the existence of a singular Hahn difference equation of q,ω$$ q,\omega $$‐Sturm–Liouville problem with transmission conditions. Moreover, the Parseval identity and expansion formula in eigenfunctions are obtained.

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Veröffentlicht in:	Mathematical methods in the applied sciences 2023-06, Vol.46 (9), p.11099-11111
1. Verfasser:	Palamut Kosar, Nida
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference equations Eigenvectors Parseval identity q ω$$ q \omega $$‐Sturm Liouville operator spectral expansion spectral function Spectral theory
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Beschreibung
Zusammenfassung:	This study is based upon investigations of the existence of a singular Hahn difference equation of q,ω$$ q,\omega $$‐Sturm–Liouville problem with transmission conditions. Moreover, the Parseval identity and expansion formula in eigenfunctions are obtained.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.9170