Publication Details:
Լույս է տեսնում 1966 թվականից՝ տարին 4 անգամ։
Journal or Publication Title:
ՀՀ ԳԱԱ Տեղեկագիր: Ֆիզիկա = Proceedings of the NAS RA: Physics
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Number:
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Title:
Разложения решений биконфлюэнтного уравнения Гойна в ряды по неполным бета- и гамма-функциям
Other title:
Creator:
Т. А. Ишханян ; Е. Пашаян-Леруа ; М. Р. Геворгян ; К. Леруа ; А. М. Ишханян
Contributor(s):
Պատ․ խմբ․՝ Գ․ Մ․ Ղարիբյան (1966-1992) ; Գլխ․ խմբ․՝ Վ․ Մ․ Հարությունյան (1993-2021) ; Կ․ Մ․ Ղամբարյան (2022-)
Subject:
Physics ; Science ; Nuclear Physics
Uncontrolled Keywords:
Ishkhanyan T. A. ; Pashayan-Leroy Y. ; Gevorgyan M. R. ; Leroy C. ; Ishkhanyan A. M.
Coverage:
Abstract:
Starting from equations obeyed by functions involving the first or the second derivatives of the biconfluent Heun function, we construct two expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta functions. The first series applies single Beta functions as expansion functions, while the second one involves a combination of two Beta functions. The coefficients of expansions obey four- and five-term recurrence relations, respectively. It is shown that the proposed technique is potent to produce series solutions in terms of other special functions. Two examples of such expansions in terms of the incomplete Gamma-functions are presented.