Sulle funzioni ipergeometriche confluenti

  title={Sulle funzioni ipergeometriche confluenti},
  author={Francesco Giacomo Tricomi},
  journal={Annali di Matematica Pura ed Applicata},
  • F. Tricomi
  • Published 1 December 1947
  • Mathematics
  • Annali di Matematica Pura ed Applicata
Sunto.Studio delle funzioni ipergeometriche confluenti pouendo in primo piano — invece della coppiaMk,mKk,m delle funzioni di Whittaker — la funzioneF(a, c; x) di Pochhammer-Kummer e un'analoga funzione che viene designata conG(a, c; x). È dedicata particolare attenzione alla determinazione del comportamento asintotico al divergere dix o dei parametri. 

Sulla funzione gamma incompleta

SuntoStudio sistematico della funzione in parola, ch’è un’importante caso particolare delle funzioni ipergeometriche confluenti, insistendo porticolarmente su alcuni nuovi lineamenti della teoria, p.

Sul comportamento asintotico dei polinomi di Laguerre

SuntoCompletando e perfezionando precedenti risultati, propri ed altrui, l'A. dà un sistema di quattro formule (valide in successive porzioni dell'assex) che permettono di domin are completamente il

Historical Overview of the Mittag-Leffler Functions

Gosta Magnus Mittag-Leffler was born on March 16, 1846, in Stockholm, Sweden. His father, John Olof Leffler, was a school teacher, and was also elected as a member of the Swedish Parliament. His

Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions

The numerical performance of the expansions is discussed together with the numerical stability of recurrence relations to compute the polynomials and the asymptotic character of the expansion is explained for large values of the parameter a of the Kummer function.

On Multivariate Log Birnbaum-Saunders Distribution

Univariate Birnbaum-Saunders distribution has received a considerable attention in recent years. Rieck and Nedelman (Technometrics, vol. 33, 51–60, 1991) introduced a log Birnbaum-Saunders

A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge

In a recent paper, Edelman, Guionnet and Peche conjectured a particular $n^{-1}$ correction term of the smallest eigenvalue distribution of the Laguerre unitary ensemble (LUE) of order $n$ in the

An Analytical and Numerical Detour for the Riemann Hypothesis

From the functional equation of Riemann's zeta function, new insight is given into Hadamard's product formula and the method can be extended to other meromorphic functions, in the neighborhood of isolated zeros, inspired by the Weierstraß canonical form.

Applications to Deterministic Models

Here we present material illuminating the role of the Mittag-Leffler function and its generalizations in the study of deterministic models. It has already been mentioned that the Mittag-Leffler

The Kummer confluent hypergeometric function and some of its applications in the theory of azimuthally magnetized circular ferrite waveguides

Examples of the application of the confluent hypergeometric functions in miscellaneous areas of the theoretical physics are presented. It is suggested these functions to be utilized as a universal

On the integral representations for the confluent hypergeometric function

  • B. Fejzullahu
  • Mathematics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2016
In this paper, we derive a new contour integral representation for the confluent hypergeometric function as well as for its various special cases. Consequently, we derive expansions of the confluent