38 citations · 140 across the 60 of their papers we have counts for
5 papers · 2 filters
On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform
Semyon Yakubovich
Notions of the orthogonality and convolution orthogonality are explored with the use of the Kontorovich-Lebedev transform and its convolution. New classes of the corresponding orth…
Discrete Kontorovich-Lebedev transforms
Semyon Yakubovich
Discrete analogs of the classical Kontorovich-Lebedev transforms are introduced and investigated. It involves series with the modified Bessel function or Macdonald function $K_{in}…
Sturm-Liouville hypergroups without the compactness axiom
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We establish a positive product formula for the solutions of the Sturm-Liouville equation , where belongs to a general class which includes singular and degene…
Orthogonal polynomials with the Prudnikov-type weights
Semyon Yakubovich
New sequences of orthogonal polynomials with respect to the weight functions , wh…
The hyperbolic maximum principle approach to the construction of generalized convolutions
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We introduce a unified framework for the construction of convolutions and product formulas associated with a general class of regular and singular Sturm-Liouville boundary value pr…