Semyon Yakubovich's Annual Report
Year:
2015
Brief description of the research activities:
1. New Index transforms are investigated with the product of Bessel functions. The results are applied to solve boundary value problems for PDE, involving bi-Laplacian;
2. New summation and transformation formulas of the Poisson, Muntz, Mobius and Voronoi type are deduced;
3. Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values are derived.
Talks / Seminars / Courses :
Communications in international conferences
Title:
New Index transforms with the product of Bessel functions
Name of the event:
13th International Symposium on Orthogonal Polynomials, Special Functions and Applications
Talk:
Contributed talk
Date:
01.06.2015 to 05.06.2015
Host institution:
National Institute of Standards and Technology
Country:
USA
Location / City:
Gaithersburg, Maryland
Title:
Classes of index transforms with the Bessel functions
Name of the event:
2015 International Meeting of the American, European and Portuguese Mathematical Societies
Talk:
Contributed talk
Date:
10.06.2015 to 13.06.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto