Publications

Found 248 results
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2010
[2010-9] Yakubovich SB. The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform .
[2010-3] Yakubovich SB. An index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transf .
[2010-2] Passian A., Kouchekian S., Yakubovich SB. Index integral representations for connection between cartesian, cylindrical and spheroidal sytems .Edit
[2010-11] Yakubovich SB. Multidimensional Kontorovich-Lebedev transforms .
Passian A., Kouchekian S., Yakubovich SB, Thundat T.. Properties of index transforms in modeling of nanostructures and plasmonic systems. J. Math. Phys.. 2010;51:023518, 30.Edit
[2010-20] Yakubovich SB, Vieira N. A radial version of the Kontorovich-Lebedev transform in the unit ball .Edit
[2010-22] M. Riva D, Yakubovich SB. On a Riemann-Liouville fractional analog of the Laplace operator with positive energy .Edit
[2010-17] Yakubovich SB. Voronoi- Nasim summation formulas and index transforms .
Yakubovich SB. On the Watson $L_2$-theory for index transforms I. Integral Transforms Spec. Funct.. 2010;21:381-397.
Yakubovich SB. On the Watson $L_2$-theory for index transforms II. Integral Transforms Spec. Funct.. 2010;21:663-673.
2011
[2011-15] Yakubovich SB, Vieira N, Rodrigues M.. A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms .Edit
[2011-12] Yakubovich SB, Nazardonyavi S. Extremely abundant numbers and the Riemann hypothesis .Edit
Yakubovich SB. The Fourier-Stieltjes transform of Minkowski's $?(x)$ function and an affirmative answer to Salem's problem. C. R. Math. Acad. Sci. Paris. 2011;349:633-636.
[2011-7] Yakubovich SB, Rodrigues M., Vieira N. Fractional two-parameter Schrödinger equation .Edit
Yakubovich SB. A general class of Voronoi's and Koshliakov-Ramanujan's summation formulas involving $d_k(n)$. Integral Transforms Spec. Funct.. 2011;22:801-821.
Yakubovich SB. The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Commun. Pure Appl. Anal.. 2011;10:745-760.
Passian A., Kouchekian S., Yakubovich SB. Index integral representations for connection between Cartesian, cylindrical, and spheroidal systems. Integral Transforms Spec. Funct.. 2011;22:549-560.Edit
Yakubovich SB. Multidimensional Kontorovich-Lebedev transforms. Integral Transforms Spec. Funct.. 2011;22:123-141.
[2011-8] Loureiro AF, Maroni P., Yakubovich SB. On a nonorthogonal polynomial sequence associated with Bessel operator .Edit
[2011-20] Rodrigues M., Vieira N, Yakubovich SB. Operational calculus for Bessel's fractional equation .Edit
[2011-21] Loureiro AF, Yakubovich SB. On a polynomial sequence related to the Ditkin-Prudnikov problem .Edit
Yakubovich SB, Vieira N. A radial version of the Kontorovich-Lebedev transform in the unit ball. Opuscula Math.. 2011;31:137-146.Edit
[2011-34] Yakubovich SB. On some Rajchman measures and equivalent Salem’s problem .
[2011-1] Yakubovich SB, Vieira N. The use of Kontorovich-Lebedev's transform in an analysis of regularized Schrodinger equation .Edit
2012
[2012-7] Loureiro AF, Yakubovich SB. Central factorials under the Kontorovich-Lebedev transform of polynomials .Edit

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