On Some Integral Transformations and Their Application to the Solution of Boundary-Value Problems in Mathematical Physics

• Datum: 2001
• Hauptverfasser: Popov, G. Ya., Попов, Г. Я.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4301
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain a formula for the expansion of an arbitrary function in a series in the eigenfunctions of the Sturm–Liouville boundary-value problem for the differential equation of cone functions. On the basis of this result, we derive a series of integral transformations (including well-known ones) and...