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Hybrid integral transformations of the Bessel-Legendre-Bessel type -...-Bessel-Legendre-Bessel type
Lenyuk Mykhailo Pavlovych 1 , Oliynyk N. P. 2
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords: hybrid integral transformations of the Bessel-Legendre-Bessel type -...-Bessel-Legendre-Bessel type
Abstract

Hybrid integral transition of Bessel - Legendres - Bessel -... - Bessel - Legendres - Bessel type are constructed with the help of delta-form sequence method on polar half-axis $r ≥ R_0 > 0$ with $2n$ dots of conjugation.

References

[1] Lenyuk M.P. Study of the main boundary value problems for the dissipative Bessel wave equation. - Kyiv, 1983. - 64 p. - (Preprint / Academy of Sciences of the Ukrainian SSR. Institute of Mathematics; 83.3).

[2] Lenyuk M.P., Shinkarik N.I. Hybrid integral Legendre transforms. - Lvov, 1989. - 60 p. - (Preprint / Academy of Sciences of the Ukrainian SSR. Institute of Applied Problems of Mechanics and Mathematics).

[3] Shilov G.E. Mathematical analysis. Second special course. - M.: Nauka, 1965. - 328 p.

[4] Gradshteyn I.S., Ryzhik I.M. Tables of integrals, sums, series and products. - M.: Nauka, 1971. - 1108 p.

[5] Fichtenholz G.M. Course of differential and integral calculus: In 3 volumes. - M.: Nauka, 1969. - Vol. 3. - 656 p.

Cite
ACS Style
Lenyuk, M.P.; Oliynyk , N.P. Hybrid integral transformations of the Bessel-Legendre-Bessel type -...-Bessel-Legendre-Bessel type. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Lenyuk MP, Oliynyk NP. Hybrid integral transformations of the Bessel-Legendre-Bessel type -...-Bessel-Legendre-Bessel type. Bukovinian Mathematical Journal. 2018; 1(160).
Chicago/Turabian Style
Mykhailo Pavlovych Lenyuk, N. P. Oliynyk . 2018. "Hybrid integral transformations of the Bessel-Legendre-Bessel type -...-Bessel-Legendre-Bessel type". Bukovinian Mathematical Journal. 1 no. 160.
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