Semyon Yakubovich's Annual Report
Year:
2017
Brief description of the research activities:
1. New Index transforms are investigated with the product and squares of Bessel and Associated Legendre functions. The results are applied to solve boundary value problems for PDE, involving Laplacian;
2. A new method is developped to derive new identities between Euler and Bernoulli polynomials and numbers.
4. The old Salem (1943) and Weber-Titchmarsh (1924) problems are solved.
Talks / Seminars / Courses :
Communications in national conferences
Title:
Certain classes of the index transforms and higher order PDE
Name of the event:
Workshop on Orthogonal Polynomials and Applications
Talk:
Invited talk
Date:
05.09.2017
Host institution:
Department of Mathematics, University of Porto
Country:
Portugal
Location / City:
Porto
Website:
Communications in international conferences
Title:
On certain identities, connection and explicit formulas for the Bernoulli, Euler numbers and Riemann's zeta-values
Name of the event:
14th International Symposium on Orthogonal Polynomilas, Special Functions and Applications
Talk:
Contributed talk
Date:
03.07.2017 to 07.07.2017
Host institution:
University of Kent
Country:
England
Location / City:
Canterbury
Website:
Title:
New classes of the index transforms and higher order PDE's
Name of the event:
11th ISAAC Congress
Talk:
Invited talk
Date:
14.08.2017 to 18.08.2017
Host institution:
Linnaeus University
Country:
Sweden
Location / City:
Vaxjo