# Publications

Properties of index transforms in modeling of nanostructures and plasmonic systems. J. Math. Phys.. 2010;51:023518, 30.Edit

[2010-22] On a Riemann-Liouville fractional analog of the Laplace operator with positive energy .Edit

On the Watson $L_2$-theory for index transforms I. Integral Transforms Spec. Funct.. 2010;21:381-397.

On the Watson $L_2$-theory for index transforms II. Integral Transforms Spec. Funct.. 2010;21:663-673.

Beurling's theorems and inversion formulas for certain index transforms. Opuscula Math.. 2009;29:93-110.

A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. Integral Transforms Spec. Funct.. 2009;20:551-567.

Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. Results Math.. 2009;55:175-197.Edit

A double index transform with a product of Macdonald's functions revisited. Opuscula Math.. 2009;29:313-329.

[2009-9] Generalized Fourier transform associated with the differential operator D^n_z in the complex domain .Edit

Harmonic analysis of the Lebedev-Stieltjes integrals. Asian-Eur. J. Math.. 2009;2:307-320.

On the orthogonality of the MacDonald's functions. J. Math. Anal. Appl.. 2009;360:380-390.Edit

On the theory of convolution integral equations related to Lebedev's type operators. Sarajevo J. Math.. 2009;5(17):119-132.

[2009-24] On the Watson L2-theory for index transforms .

Asymptotic and summation formulas related to the Lebedev integrals. Integral Transforms Spec. Funct.. 2008;19:293-304.

[2008-1] A class of integral equations and index transformations related to the modified and incomplete Besse .

[2008-27] A class of polynomials and discrete transformationsassociated with the Kontorovich- Lebedev operator .