38 citations · 140 across the 60 of their papers we have counts for
75 papers
A proof of Askey's convexity conjecture
K. Castillo, S. Yakubovich
For , let be the Bessel function of the first kind and let be its second positive zero. Define by $$ \int_0^{j_{α,2}}u^{-β(α)}J_α(u)\,du=0.…
Phoretic flow in a three-dimensional wedge geometry
Abdallah Daddi-Moussa-Ider, Semyon Yakubovich, Maciej Lisicki
Understanding how chemically induced surface transport generates fluid motion in confined geometries is essential for the rational design of microscale pumping devices and active m…
The fractional Kontorovich-Lebedev transform
Semyon Yakubovich
We introduce the so-called fractional analog of the Kontorovich-Lebedev transform, modifying its kernel, which is the Macdonald function . Properties of this kernel as well…
On the Macdonald-type function and its relation with index transforms and orthogonal polynomials
Semyon Yakubovich
We continue to investigate properties of the function which is associated with the Macdonald function in terms of the corresponding Fourier integral. In particula…
New biorthogonal sequences generated by index integrals of the weight functions
Semyon Yakubovich
We exhibit new biorthogonal sequences generated by index integrals of the squares of the modified Bessel functions and gamma functions. The composition orthogonality, involving dif…
Generalized product formulas for Whittaker's functions and a novel class of index transforms
Semyon Yakubovich
Generalized product formulas and index transforms, involving products of Whittaker's functions of different indices are established and investigated. The corresponding inversion fo…