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Мақолада  Бессел-Клиффорд  функцияларининг баъзи  умумлашмалари ва уларнинг хоссалари баён қилинган.
 

  • Internet ҳавола
  • DOI
  • UzSCI тизимида яратилган сана 23-08-2022
  • Ўқишлар сони 0
  • Нашр санаси 17-04-2020
  • Мақола тилиO'zbek
  • Саҳифалар сони160-162
Ўзбек

Мақолада  Бессел-Клиффорд  функцияларининг баъзи  умумлашмалари ва уларнинг хоссалари баён қилинган.
 

Русский

В статье описаны некоторые обобщения функций Бесселя-Клиффорда и их свойства.

English

The article describes some generalizations of the Bessel-Clifford functions and their properties.

Калит сўзлар
Муаллифнинг исми Лавозими Ташкилот номи
1 Axmadjonova O.. 1 Fergana State University
Ҳавола номи
1 1. Clifford W.K. On Bessel functions// Mathematical Papers.-London: Oxford Univ. Press. 1882.
2 2. Hayek.N. Perez –Acosta F. Asymptotic expressions of the Dirac delta function in terms of the Bessel- Clifford functions// Pure Appl. Math Sci.1993
3 3. Abromowitz M. Coloumb wave functions expressed in terms of Bessel- Clifford functions//J.Math. Phys.1954.
4 4. Kiryakova V. The special functions of fractional calculus as generalized fractional calculus operators of some basic functions// Comput.Math. Appl. 2010.
5 5. Witte N.S. Exact solution for the reflection and diffraction of atomic de Broglie waves by the travelling evanescent laser wave// J.Phys. A:Math.Gen.1998.
6 6. Бейтмен Г., Эрдейи А. Высшие трансцендентные функции: Функции Бесселя, функции параболического цилиндра, ортогональные многочлены. −М.: Наука, 1974.
7 7. Delerue, P. (1953). Sur le calcul symbolique `a n variables et fonctions hyperbess´eliennes (II) Annales Soc. Sci. Bruxelles, ser. 1, No 3.
8 8. Kljuchantzev, M. (1983). Singular differential operators with (r − 1) parameters and Bessel functions with vector indices (in Russian) Sibirskii Mat. Zhournal. 24, No 3.
9 9. Marichev, O. I. (1978). Method of Calculation of Integrals of Special Functions (in Russian). Minsk Nauka i Technika.
10 10. Adamchik, V. S. (1986). On the solution of the hyper-Bessel differential equation (in Russian) Diff. Uravnenia. 22, No 4.
11 11. Dimovski, I. and Kiryakova, V. (1986). Generalized Poisson transmutations and corresponding representations of hyper-Bessel functions C. R. Acad. Bulg, Sci.39, No 10.
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