A generalization of the Bernoulli polynomials

P Natalini, A Bernardini - Journal of Applied Mathematics, 2003 - Wiley Online Library
PIERPAOLO NATALINI AND ANGELA BERNARDINI … Pierpaolo Natalini: Dipartimento di
Matematica, Università degli Studi Roma III, Largo San Leonardo Murialdo 1, 00146 Roma, Italy …

[PDF][PDF] Some inequalities for modified Bessel functions

A Laforgia, P Natalini - Journal of Inequalities and Applications, 2010 - Springer
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by
the relevance of the function , , in many contexts of applied mathematics and, in particular, in …

[PDF][PDF] Inequalities for the incomplete gamma function

P Natalini, B Palumbo - Math. Inequal. Appl, 2000 - files.ele-math.com
PIERPAOLO NATALINI AND BIAGIO PALUMBO … PIERPAOLO NATALINI AND BIAGIO
PALUMBO … Pierpaolo Natalini and Biagio Palumbo Dipartimento di Matematica …

Generalizations of the Bernoulli and Appell polynomials

G Bretti, P Natalini, PE Ricci - Abstract and Applied Analysis, 2004 - Wiley Online Library
We first introduce a generalization of the Bernoulli polynomials, and consequently of the
Bernoulli numbers, starting from suitable generating functions related to a class of Mittag‐Leffler …

A family of complex Appell polynomial sets

HM Srivastava, PE Ricci, P Natalini - Revista de la Real Academia de …, 2019 - Springer
In the present sequel to a recent work by Srivastava et al. (Rocky Mt J Math 49 (in press),
2019 ), the authors propose to show that the real and imaginary parts of a general set of …

Examples of expansions in fractional powers, and applications

D Caratelli, P Natalini, PE Ricci - Symmetry, 2023 - mdpi.com
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 …

[PDF][PDF] On some inequalities for the gamma function

A Laforgia, P Natalini - Advances in Dynamical Systems and …, 2013 - academia.edu
… Andrea Laforgia and Pierpaolo Natalini Roma Tre University Department of Mathematics
Largo San Leonardo Murialdo 1, 00146, Rome, Italy laforgia@mat.uniroma3.it and natalini@mat.uniroma3.it …

[HTML][HTML] Exponential, gamma and polygamma functions: simple proofs of classical and new inequalities

A Laforgia, P Natalini - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
Some inequalities for the exponential, gamma and polygamma functions are established by
means of the mean value theorem of differential calculus. In particular, the cases of the ratio …

The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface

P Natalini, R Patrizi, PE Ricci - Numerical Algorithms, 2008 - Springer
We consider the Dirichlet problem for the Laplace equation in a starlike domain, ie a domain
which is normal with respect to a suitable polar co-ordinates system. Such a domain can be …

Remarks on Bell and higher order Bell polynomials and numbers

P Natalini, PE Ricci - Cogent Mathematics, 2016 - Taylor & Francis
We recover a recurrence relation for representing in an easy form the coefficients A n , k of
the Bell polynomials, which are known in literature as the partial Bell polynomials. Several …