Semyon Yakubovich's Annual Report

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
Speakers
Semyon Yakubovich
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
Speakers
Semyon Yakubovich
Talk:
Contributed talk
Date:
10.06.2015 to 13.06.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto
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