Semyon Yakubovich's Annual Report
Year:
2016
Brief description of the research activities:
1. New Index transforms are investigated with the product and squares of Bessel functions. The results are applied to solve boundary value problems for PDE, involving bi-Laplacian;
2. Some results around the known Casas- Alvero problem are obtained;
3. A new method is develpoed to calculate series and lattice sums, involving hyperbolic functions.
4. The old Salem (1943) and Weber-Titchmarsh (1924) problems are solved.
Talks / Seminars / Courses :
Communications in national conferences
Title:
The Kontorovich-Lebedev transform and its application to the Bernoulli, Euler numbers and Riemann zeta-values
Name of the event:
Workshop on Orthogonal Polynomials and Applications
Talk:
Invited talk
Date:
17.02.2016
Host institution:
FCUP, Department of Mathematics
Country:
Portugal
Location / City:
Porto
Website:
Title:
New classes of the index transforms and their applications to solutions of higher order PDE's
Name of the event:
2nd Dual Meeting of CMUP
Talk:
Invited talk
Date:
06.06.2016
Host institution:
FCUP, Department of Mathematics
Country:
Portugal
Location / City:
Porto
Website:
Communications in international conferences
Title:
Index Transforms and Higher Order PDE's
Name of the event:
4th Dolomities Workshop on Constructive Approximation and Applications
Talk:
Contributed talk
Date:
08.09.2016 to 13.09.2016
Host institution:
University of Verona
Country:
Italy
Location / City:
Alba di Canazei
Website: