Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Pierpaolo Natalini"'
Publikováno v:
Symmetry, Vol 15, Iss 10, p 1900 (2023)
Bernoulli and Euler numbers and polynomials are well known and find applications in various areas of mathematics, such as number theory, combinatorial mathematics, series expansions, and the theory of special functions. Using fractional exponential f
Externí odkaz:
https://doaj.org/article/a65f87cd53594205a5294b4557a64eb6
Publikováno v:
Symmetry, Vol 15, Iss 10, p 1842 (2023)
We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate
Externí odkaz:
https://doaj.org/article/c2f4382f78d246569e4fecd5f79ac5cc
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1702 (2023)
We approximate the solution of a generalized form of the Bagley–Torvik equation using Taylor’s expansions in fractional powers. Then, we study the fractional Laguerre-type logistic equation by considering the fractional exponential function and i
Externí odkaz:
https://doaj.org/article/c302eee3d5f84d24a32271538e0e14da
Publikováno v:
Discrete Mathematics Letters, Vol 3, Pp 31-36 (2020)
Externí odkaz:
https://doaj.org/article/4cf44b296dd44e88bad93e21fd5e78b1
Publikováno v:
Axioms, Vol 10, Iss 3, p 219 (2021)
In this article, we derive representation formulas for a class of r-associated Stirling numbers of the second kind and examine their connections with a class of generalized Bernoulli polynomials. Herein, we use the Blissard umbral approach and the fa
Externí odkaz:
https://doaj.org/article/7e537a3ae5a54906a4b0b58d2f64f05d
Publikováno v:
Axioms, Vol 10, Iss 2, p 51 (2021)
In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas function
Externí odkaz:
https://doaj.org/article/6a82111cb2834952a26bd49556363442
Publikováno v:
Axioms, Vol 9, Iss 3, p 73 (2020)
After recalling the most important properties of the Bell polynomials, we show how to approximate a positive compact operator by a suitable matrix. Then, we derive a representation formula for functions of the obtained matrix, which can be considered
Externí odkaz:
https://doaj.org/article/1eefdee6468942cf8f6f16601d9a1603
Autor:
Paolo Emilio Ricci, Pierpaolo Natalini
Publikováno v:
Axioms, Vol 8, Iss 4, p 132 (2019)
We extend a technique recently introduced by Chen Zhuoyu and Qi Lan in order to find convolution formulas for second order linear recurrence polynomials generated by 1 1 + a t + b t 2 x . The case of generating functions containing parameters, even i
Externí odkaz:
https://doaj.org/article/aec2124b24f341aeaa91c98975262b0c
Autor:
Pierpaolo Natalini, Paolo Emilio Ricci
Publikováno v:
Mathematics, Vol 7, Iss 8, p 679 (2019)
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be
Externí odkaz:
https://doaj.org/article/bcf881d0df8c4e11b3f3d8cbb6c59942
Autor:
Pierpaolo Natalini, Paolo Emilio Ricci
Publikováno v:
Axioms, Vol 7, Iss 4, p 71 (2018)
In recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers, and several integer sequences related to them, have been studied. The method used in previous articles, and even in the present one, traces back to prece
Externí odkaz:
https://doaj.org/article/a50d93bed72b4262b228f123f39080e4