A new approach to constructing the asymptotic of the solution of the Bessel equation for large values of the complex argument

UDC 51
Publication date: 30.09.2019
International Journal of Professional Science №9-2019

A new approach to constructing the asymptotic of the solution of the Bessel equation for large values of the complex argument

Keldibay Alymkulov,
Kozhobekov Kudaiberdi Gaparalievich,

1. Doctor of physical and mathematical sciences, профессор,
Director of the Institute of fundamental and applied researches at Osh state university, Correspondent member of the National academy sciences of Kyrgyzstan
2. D.ph., senior researcher
Abstract: The asymptotic of the solution of the Bessel equation for large values of the complex argument is obtained directly from its differential equation.
Keywords: Bessel equation, method of indeterminate coefficients, principle of contracting operators, reduction to an integral equation, asymptotic of a solution.


Текст статьи…

References

1. Аlymkulov K., Кожобеков К.Г (2019) . Asymptotics of the solution of the Bessel equation for large values of the argument. Mejdunarjdnyi studencheskiy nauchnyi vestnik (Russian), 1:1-7.
2. Alymkulov K.,Kochobekov K. Asymptotics of the solution of Bessel equation at large values of the argument . Norwegian Journal of development of the International Science, № 27/ 2019, Vol.2 , 58-62.
3. Lebedev N.N. (1972) Special functions and their applications. Dover pub.
4. NIST. Handbook of mathematical functions, Chapter 10, ed. Olver F.W.J., Cambridge univ. Press, 2010
5. Olver F. (1974) Asymptotic and special functions, Academic Press, New York.
6. Temme Nico M . (2015). Asymptotic methods for integrals, World Scientific.