[PDF][PDF] Determinantal expressions and recursive relations for the Bessel zeta function and for a sequence originating from a series expansion of the power of modified …

Y Hong, BN Guo, F Qi - CMES Comput. Model. Eng. Sci, 2021 - researchgate.net
Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a
Sequence Originating from a Series Expa Page 1 echT Press Science Computer Modeling in …

Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures

YF Li, D Lim, F Qi - arXiv preprint arXiv:2310.12697, 2023 - arxiv.org
In the paper, by virtue of the famous formula of Fa\a di Bruno, with the aid of several
identities of partial Bell polynomials, by means of a formula for derivatives of the ratio of two …

New families of Horadam numbers associated with finite operators and their applications

C Kızılateş - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
In this paper, by applying finite operator to the Horadam sequence, we define the Horadam
finite operator sequences. We not only give some special cases of this new sequences but …

Closed-form capacity reliability analysis of multiuser mimo system in the presence of generalized multipath fading

AS Gvozdarev, AM Alishchuk, MA Kazakova - Sensors, 2023 - mdpi.com
This research studies the problem of a joint capacity/capacity reliability analysis of the
multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized …

Several determinantal expressions of generalized Tribonacci polynomials and sequences

C Kızılateş, WS Du, F Qi - Tamkang Journal of Mathematics, 2022 - journals.math.tku.edu.tw
In the paper, the authors present several explicit formulas for the $(p, q, r) $-Tribonacci
polynomials and generalized Tribonacci sequences in terms of the Hessenberg …

Determinantal forms and recursive relations of the Delannoy two-functional sequence

F Qi, MC Dağlı, W Du - Advances in the Theory of Nonlinear …, 2020 - dergipark.org.tr
In the paper, the authors establish closed forms for the Delannoy two-functional sequence
and its difference in terms of the Hessenberg determinants, derive recursive relations for the …

Three closed forms for convolved Fibonacci numbers

F Qi - Results in Nonlinear Analysis, 2020 - dergipark.org.tr
In the paper, by virtue of the Fa\a di Bruno formula and several properties of the Bell
polynomials of the second kind, the author computes higher order derivatives of the …

Determinantal formulas and recurrent relations for bi-periodic Fibonacci and Lucas polynomials

BN Guo, E Polatlı, F Qi - New Trends in Applied Analysis and …, 2021 - Springer
In the paper, the authors find closed formulas and recurrent relations for bi-periodic
Fibonacci polynomials and for bi-periodic Lucas polynomials in terms of the Hessenberg …

Several closed and determinantal forms for convolved Fibonacci numbers

M DAĞLI, F Qi - Discrete Mathematics Letters, 2021 - avesis.akdeniz.edu.tr
In this paper, with the aid of the Faa di Bruno formula, some properties of the Bell
polynomials of the second kind, and a general derivative formula for a ratio of two …

Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers

MC Dağlı - Revista de la Real Academia de Ciencias Exactas …, 2021 - Springer
Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials
in terms of Stirling numbers | Revista de la Real Academia de Ciencias Exactas, Físicas y …