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Математические заметки, 2022, том 111, выпуск 3, статья опубликована в англоязычной версии журнала
(Mi mzm13475)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Статьи, опубликованные в английской версии журнала
Orthogonality Associated with Bessel-Type Sheffer Sequences
with Q-Parameters
M. Riyasat, T. Nahid, S. Khan Department of Applied Mathematics, Faculty of Engineering and
Technology, Aligarh Muslim University, Aligarh, 202002 India
Аннотация:
Certain orthogonal polynomials are involved in various problems occurring in probability,
celestial mechanics, combinatorics, and other fields of theoretical and applied sciences.
The article aims to introduce
$q$-Sheffer sequences of Bessel type using
$q$-Riordan
matrices by means of the Eulerian generating function.
Series expansion and
determinant expressions are obtained for these
$q$-sequences.
We discuss the orthogonality
of
$q$-Sheffer sequences of Bessel type by establishing their three term
$q$-recurrence
relations.
As applications, we obtain the Eulerian generating functions and other
properties for some special
$q$-Sheffer sequences of Bessel type including the continuous
$q$-Hermite and
$q$-exponential polynomials of Bessel type.
Ключевые слова:
$q$-Bessel polynomials,
$q$-Sheffer sequences, continuous
$q$-Hermite polynomials,
determinant definition.
Поступило: 24.09.2021 Исправленный вариант: 04.12.2021
Образец цитирования:
M. Riyasat, T. Nahid, S. Khan, “Orthogonality Associated with Bessel-Type Sheffer Sequences
with Q-Parameters”, Math. Notes, 111:3 (2022), 441–454
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm13475
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Страница аннотации: | 66 |
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