Karp, D. B.; Melnikov, Y. B.; Turuntaeva, I. V. Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics. (English) Zbl 1463.47139 Anal. Math. 46, No. 3, 535-554 (2020). Reviewer: Luigi Rodino (Torino) MSC: 47G10 45A05 33C20 33C05 PDFBibTeX XMLCite \textit{D. B. Karp} et al., Anal. Math. 46, No. 3, 535--554 (2020; Zbl 1463.47139) Full Text: DOI arXiv
Melnikov, Yuri B.; Turuntaeva, Irina V. Inverse problem for integral-difference operators on graphs. (English) Zbl 1481.47063 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 501-510 (2020). Reviewer: Denis A. White (Toledo) MSC: 47G10 45Q05 45C05 47B93 PDFBibTeX XMLCite \textit{Y. B. Melnikov} and \textit{I. V. Turuntaeva}, Oper. Theory: Adv. Appl. 276, 501--510 (2020; Zbl 1481.47063) Full Text: DOI
Melnikov, Yuri B.; Turuntaeva, Irina V. Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes. (English) Zbl 1518.47079 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 448-500 (2020). Reviewer: Denis A. White (Toledo) MSC: 47G10 47A10 47B93 82C10 47-02 PDFBibTeX XMLCite \textit{Y. B. Melnikov} and \textit{I. V. Turuntaeva}, Oper. Theory: Adv. Appl. 276, 448--500 (2020; Zbl 1518.47079) Full Text: DOI
Melnikov, Yuri B.; Turuntaeva, Irina V. On a new class of special functions generated by integral-difference operators. (English) Zbl 1472.33010 J. Comput. Appl. Math. 327, 167-174 (2018). MSC: 33C70 PDFBibTeX XMLCite \textit{Y. B. Melnikov} and \textit{I. V. Turuntaeva}, J. Comput. Appl. Math. 327, 167--174 (2018; Zbl 1472.33010) Full Text: DOI