The inverse and derivative connecting problems for some hypergeometric polynomials

Скорочена інформація про документ
dc.contributor.authorБелратюк, Леонід Петрович
dc.contributor.authorБедратюк, Ганна Іванівна
dc.contributor.authorBedratyuk, L.
dc.contributor.authorBedratyuk, A.
dc.date.accessioned2019-12-10T17:42:06Z
dc.date.available2019-12-10T17:42:06Z
dc.date.issued2018
dc.description.abstractGiven two polynomial sets { P n ( x )} n ≥ 0 and { Q n ( x )} n ≥ 0 such that deg ( P n ( x )) = deg ( Q n ( x )) = n. The so-called connection problem between them asks to find coefficients α n,k in the expression Q n ( x ) = n ∑ k = 0 α n,k P k ( x ) . The connectionproblem for different typesof polynomials has along history, and it is still of interest. The connection coefficients play an important role in many problems in pure and applied mathematics, especially in combinatorics, mathematical physics and quantum chemical applications. For the particular case Q n ( x ) = x n the connection problem is called the inversion problem associated to { P n ( x )} n ≥ 0 . The particular case Q n ( x ) = P ′ n + 1 ( x ) is called the derivative connecting problem for polynomial family { P n ( x )} n ≥ 0 . In this paper, we give a closed- form expression of the inversion and the derivative coefficients for hypergeometric polynomials of the formuk_UA
dc.identifier.citationBedratyuk L. The inverse and derivative connecting problems for some hypergeometric polynomials / L. Bedratyuk, A. Bedratyuk // Carpathian Mathematical Publications. – 2018. – Vol. 10, № 2. – P. 235–247. doi:10.15330/cmp.10.2.235-247uk_UA
dc.identifier.issn2075-9827(Print), 2313-0210(Online)
dc.identifier.urihttps://elar.khmnu.edu.ua/handle/123456789/8045
dc.language.isoenuk_UA
dc.publisherПрикарпатський національний університет імені Василя Стефаникаuk_UA
dc.subjectconnection problemuk_UA
dc.subjectinversion problemuk_UA
dc.subjectderivative connecting problemuk_UA
dc.subjecthypergeometric functionsuk_UA
dc.titleThe inverse and derivative connecting problems for some hypergeometric polynomialsuk_UA
dc.typeСтаттяuk_UA
Файли
Контейнер файлів
Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
2955-10000-3-PB.pdf
Розмір:
138.52 KB
Формат:
Adobe Portable Document Format
Опис:
Завантажити
Ліцензійна угода
Зараз показуємо 1 - 1 з 1
Назва:
license.txt
Розмір:
4.26 KB
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити
Зібрання
Кафедра інженерії програмного забезпечення