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Laguerre-based Appell polynomials: Properties and applications

✍ Scribed by Subuhi Khan; Mustafa Walid Al-Saad; Rehana Khan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
364 KB
Volume
52
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Laguerre-type exponentials and generaliz
Laguerre-type exponentials and generalized Appell polynomials
✍ G. Bretti; C. Cesarano; P.E. Ricci πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 346 KB

General classes of two variables Appell polynomials are introduced by exploiting properties of an iterated isomorphism, related to the so-called Laguerre-type exponentials. Further extensions to the multi-index and multivariable cases are mentioned. (~) 2004 Elsevier Ltd. All rights reserved.

Properties and Applications of a Class o
Properties and Applications of a Class of Polynomials
✍ S.D. Bedrosian πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 373 KB

A study of c+z.&&x away8 have led ua to examina t?~ Fibonach po&nomid and a tree enumeration polynomial F,,(x) and T"(m), r@vdy. T,,(m) b for lirmw iterative celhhr arrays of n Zeus with a wmmon edge !x+?we~ ao&ctmt m-cyck dia. The we&&mta of T,,(m) huve the 8ame absolude vaha 08 tha8e of F, (x) but

Laguerre polynomials: novel properties a
Laguerre polynomials: novel properties and numerical generation scheme for analysis of a discrete probability distribution
✍ Carlos U. Pabon-Ortiz; M. Artoni πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 447 KB

We compute a quantum mechanical probability distribution expressed as a series of generalized Laguerre polynomials. A method for the numerical generation of the polynomials of any integer order is given. Two new properties of these polynomials are derived to reduce the distribution to a closed form