Academic Journal
A GENERALIZATION OF CERTAIN ASSOCIATED BESSEL FUNCTIONS IN CONNECTION WITH A GROUP OF SHIFTS
| العنوان: | A GENERALIZATION OF CERTAIN ASSOCIATED BESSEL FUNCTIONS IN CONNECTION WITH A GROUP OF SHIFTS |
|---|---|
| المؤلفون: | Choi, J, Shilin, I |
| المساهمون: | Dongguk University, Seoul (Department of Energy & Materials Engineering), National Research University MPEI |
| المصدر: | ISSN: 1804-1388. |
| بيانات النشر: | HAL CCSD University of Ostrava |
| سنة النشر: | 2022 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | orthogonality relations, generalization of Bessel functions, motion of pseudo-Euclidian space, group ISO(n 1), Whittaker Function, Hankel functions, Macdonald function, 1991 Mathematics Subject Classification. Primary 33C10, 33C80, Secondary 33B15, 33C05, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] |
| الوصف: | International audience ; Considering the kernel of an integral operator intertwining two realizations of the group of motions of the pseudo-Euclidian space, we derive two formulas for series containing Whittaker's functions or Weber's parabolic cylinder functions. We can consider this kernel as a special function. Some particular values of parameters involved in this special function are found to coincide with certain variants of Bessel functions. Using these connections, we also establish some analogues of orthogonality relations for Macdonald and Hankel functions. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-03626967; https://hal.archives-ouvertes.fr/hal-03626967; https://hal.archives-ouvertes.fr/hal-03626967/document; https://hal.archives-ouvertes.fr/hal-03626967/file/Re-Choi-Shilin-2020-2.pdf |
| الاتاحة: | https://hal.archives-ouvertes.fr/hal-03626967 https://hal.archives-ouvertes.fr/hal-03626967/document https://hal.archives-ouvertes.fr/hal-03626967/file/Re-Choi-Shilin-2020-2.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.BE3CEF8F |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |