38 citations · 140 across the 60 of their papers we have counts for
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A modification of the Prudnikov and Laguerre polynomials
Semyon Yakubovich
A two-parameter sequence of orthogonal polynomials with respect to the weight function $x^αe^{- λx} ρ_ν(x t),\ α> -1,\ λ, t \ge 0, \ ρ_ν(x)= 2 x^{ν/2}…
Discrete orthogonal polynomials associated with Macdonald function
Semyon Yakubovich
New sequences of discrete orthogonal polynomials associated with the modified Bessel function or Macdonald function are considered. The corresponding weight function is $λ…
Discrete index transforms with Bessel and modified Bessel functions
Semyon Yakubovich
Discrete analogs of the index transforms, involving Bessel and the modified Bessel functions are introduced and investigated. The corresponding inversion theorems for suitable clas…
Orthogonal polynomials for the weight
Semyon Yakubovich
Orthogonal polynomials for the weight are investigated. Differential-difference equations, recurrence relations, explicit represent…