Zobrazeno 1 - 10
of 377
pro vyhledávání: '"Junesang Choi"'
Autor:
I. A. Shilin, Junesang Choi
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1102 (2024)
We present a novel proof, using group theory, for a Meijer transform formula. This proof reveals the formula as a specific case of a broader generalized result. The generalization is achieved through a linear operator that intertwines two representat
Externí odkaz:
https://doaj.org/article/356f8b86e259421295db68d8d88fc071
Autor:
Necdet Batır, Junesang Choi
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2450 (2024)
We offer intriguing new insights into parameterized finite binomial sums, revealing elegant identities such as ∑k=0,k≠nm+n(−1)kn−km+nk=(−1)nm+nn(Hm−Hn), where n,m are non-negative integers and Hn is the harmonic number. These formulas bea
Externí odkaz:
https://doaj.org/article/9bff4f937ec6449398c80b98aeb00575
Autor:
Junesang Choi, Necdet Batır
Publikováno v:
Symmetry, Vol 16, Iss 7, p 932 (2024)
Numerous logarithmic integrals have been extensively documented in the literature. This paper presents an algorithmic evaluation of a specific class of these integrals. Our systematic approach, rooted in logarithmic principles, enables us to extend o
Externí odkaz:
https://doaj.org/article/da5a0a197b2045079f04b3b8152aef24
Autor:
I. A. Shilin, Junesang Choi
Publikováno v:
Axioms, Vol 13, Iss 7, p 452 (2024)
Considering a representation space for a group of unimodular diag(1, −1, −1)-matrices, we construct several bases whose elements are eigenfunctions of Casimir infinitesimal operators related to a reduction in the group to some one-parameter subgr
Externí odkaz:
https://doaj.org/article/7e9c74be7521485fa9f3564ce8d664b1
Publikováno v:
Axioms, Vol 13, Iss 3, p 164 (2024)
A collection of functions organized according to their indexing based on non-negative integers is grouped by the common factor of fixed integer N. This grouping results in a summation of N series, each consisting of functions partitioned according to
Externí odkaz:
https://doaj.org/article/774ba6eab10249d0b99581e8c23d513d
Autor:
Junesang Choi
Publikováno v:
Symmetry, Vol 15, Iss 12, p 2159 (2023)
Due to their remarkable properties, a plethora of special functions have been crafted and harnessed across a diverse spectrum of fields spanning centuries [...]
Externí odkaz:
https://doaj.org/article/151b6e705c984f5d801bd2f34da009cc
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 700 (2023)
In this article, we introduce three general double-series identities using Whipple transformations for terminating generalized hypergeometric 4F3 and 5F4 functions. Then, by employing the left-sided Riemann–Liouville fractional integral on these id
Externí odkaz:
https://doaj.org/article/4a936d7972454a5d8e092819899009bd
Autor:
Junesang Choi, Anthony Sofo
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1637 (2023)
A very recent article delved into and expanded the four parametric linear Euler sums, revealing that two well-established subjects—Euler sums and series involving the zeta functions—display particular correlations. In this study, we present sever
Externí odkaz:
https://doaj.org/article/758a68a1eb964d2f8b21627b7a04dcbd
Publikováno v:
Axioms, Vol 12, Iss 7, p 621 (2023)
The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them using matrix techniques. By leveraging properties of Pascal functionals and Wronskian matrices, we der
Externí odkaz:
https://doaj.org/article/3aa86c6f72b94a3b8a6f992788b20e72
Publikováno v:
Symmetry, Vol 15, Iss 6, p 1132 (2023)
This paper introduces extensions H4,p and X8,p of Horn’s double hypergeometric function H4 and Exton’s triple hypergeometric function X8, taking into account recent extensions of Euler’s beta function, hypergeometric function, and confluent hyp
Externí odkaz:
https://doaj.org/article/18480e5021f84d308a95a331a641a375