БЕССЕЛ-КЛИФФОРД ФУНКЦИЯЛАРИНИНГ БАЪЗИ УМУМЛАШМАЛАРИ ВА УЛАРНИНГ ХОССАЛАРИ

To`liq ma`lumot

Annotatsiyalar


  • Ўзбек

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

    Kalit so'z: #Бессел-Клиффорд функцияси

  • Русский

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

    Kalit so'z: #Бессел-Клиффорд функцияси

  • English

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

    Kalit so'z: #Бессел-Клиффорд функцияси

Hujjatni onlayn ko'rish


Kutilmoqda

Foydalanilgan adabiyotlar


Havola nomi

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.

Ko'rishlar soni: 319
Nashr soni: 2020-2
Nashr sanasi: 17-04-2020
UzSCI tizimida yaratilgan sana: 23-08-2022