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Introduction of a hybrid integral transformation of the Euler-Bessel-Legendre type on the segment $[0, R_3]$ of the polar axis
Nikitina O. M. 1
1 National Technical University "Kharkiv Polytechnic Institute", Kharkiv, 61002, Ukraine
Keywords: a hybrid integral transformation of the Euler-Bessel-Legendre type
Abstract
By a method delta-similar sequence (kernel of Dirikhle) on a segment $[0, R_3]$ of the polar axis with two points of interface hybrid integral transformation is inculcated as Euler-Bessel-Legendre.
References

[1] Uflyand Ya.S. About some new integral transformations and their applications to problems of mathematical physics // Problems of Mathematical Physics. - L., 1976. - P. 93 - 106.

[2] Lenyuk M.P., Shynkaryk M.I. Hybrid integral transforms (Fourier, Bessel, Legendre). Part 1. - Ternopil: Ekonomichna Dumka, 2004. - 368 p.

[3] Shilov G.E. Mathematical Analysis. The second special course. - M.: Nauka, 1965. - 328 p.

[4] Stepanov V.V.  Course of differential equations. - M.: Fizmatgiz, 1959. - 468 p.

[5] Leniuk M.P. Investigation of basic boundary value problems for dissipative wave Bessel equation. - Kiev, 1983. - 62 p. - (Preprint / Academy of Sciences of the Ukrainian SSR. Institute of Mathematics; 83.3).

[6] Konet I.M., Lenyuk M.P. Integral transformations of the Mehler-Fock type. - Chernivtsi: Prut, 2002. - 248 p.

[7] Kurosh A.G. Course of higher algebra. - M.: Nauka, 1971. - 432 p.

[8] Fikhtenholtz G.M. Course of differential and integral calculus: In 3 vol.  - M.: Nauka, 1969. - ΠΆ. 3. - 656 p.

[9] Tikhonov A. N, Samarsky A. A. Equations of Mathematical Physics. - M.: Nauka, 1972. - 735 p.

Cite
ACS Style
Nikitina, O.M. Introduction of a hybrid integral transformation of the Euler-Bessel-Legendre type on the segment $[0, R_3]$ of the polar axis. Bukovinian Mathematical Journal. 2018, 2
AMA Style
Nikitina OM. Introduction of a hybrid integral transformation of the Euler-Bessel-Legendre type on the segment $[0, R_3]$ of the polar axis. Bukovinian Mathematical Journal. 2018; 2(1).
Chicago/Turabian Style
O. M. Nikitina. 2018. "Introduction of a hybrid integral transformation of the Euler-Bessel-Legendre type on the segment $[0, R_3]$ of the polar axis". Bukovinian Mathematical Journal. 2 no. 1.
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