Асимптотическое разложение $(\tau,\beta)$-обобщённой гипергеометрической функции

E. V. Ovcharenko

Geodesic

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Асимптотическое разложение $(\tau,\beta)$-обобщённой гипергеометрической функции

E. V. Ovcharenko

Matematicheskoe Modelirovanie i Kraevye Zadachi, Proceedings of the Sixth All-Russian Scientific Conference with international participation (1–4 June 2009). Part 3, Tome 3 (2009), pp. 175-178.

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@article{MMKZ_2009_3_a46,
     author = {E. V. Ovcharenko},
     title = {{\CYRA}{\cyrs}{\cyri}{\cyrm}{\cyrp}{\cyrt}{\cyro}{\cyrt}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyre} {\cyrr}{\cyra}{\cyrz}{\cyrl}{\cyro}{\cyrzh}{\cyre}{\cyrn}{\cyri}{\cyre} $(\tau,\beta)$-{\cyro}{\cyrb}{\cyro}{\cyrb}{\cyrshch}{\cyryo}{\cyrn}{\cyrn}{\cyro}{\cyrishrt} {\cyrg}{\cyri}{\cyrp}{\cyre}{\cyrr}{\cyrg}{\cyre}{\cyro}{\cyrm}{\cyre}{\cyrt}{\cyrr}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyrishrt} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyri}},
     journal = {Matematicheskoe Modelirovanie i Kraevye Zadachi},
     pages = {175--178},
     publisher = {mathdoc},
     volume = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMKZ_2009_3_a46/}
}

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%T Асимптотическое разложение $(\tau,\beta)$-обобщённой гипергеометрической функции
%J Matematicheskoe Modelirovanie i Kraevye Zadachi
%D 2009
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E. V. Ovcharenko. Асимптотическое разложение $(\tau,\beta)$-обобщённой гипергеометрической функции. Matematicheskoe Modelirovanie i Kraevye Zadachi, Proceedings of the Sixth All-Russian Scientific Conference with international participation (1–4 June 2009). Part 3, Tome 3 (2009), pp. 175-178. http://geodesic.mathdoc.fr/item/MMKZ_2009_3_a46/

Bibliographie
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[1] Virchenko N. O., Rumiantseva O. V., “On the generalized associated Legendre functions”, J. Fractional Calculus and Appl. Analysis, 11:2 (2008), 175–185

[2] Wright E. M., “On the coefficient of power having exponential singularities”, J. London Math. Soc., 1933, no. 8, 71–79 | DOI

[3] Wright E. M., “The asymptotic expansion of the generalized hypergeometric function”, J. London Math. Soc., 1935, no. 10, 287–293