Couverture de Superfunctions
Titre du livre:

Superfunctions

Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics

LAP LAMBERT Academic Publishing (28-07-2020 )

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ISBN-13:

978-620-2-67286-3

ISBN-10:
6202672862
EAN:
9786202672863
Langue du livre:
Anglais
texte du rabat:
Tools for evaluation of superfunctions, abelfunctions and non-integer iterates of holomorphic functions are collected. For a given transferfunction T, the superfunction is solution F of the transfer equation F(z+1)=T(F(z)) . The abelfunction is inverse of F. In particular, superfunctions of factorial, exp, sin are suggested. The Holomorphic extensions of the logistic sequence and those of the Ackermann functions are considered. Among ackermanns, the tetration (mainly to the base b>1) and natural pentation (to base b=e) are presented. The efficient algorithm for the evaluation of superfunctions and abelfunctions are described. The graphics and complex maps are plotted. The possible applications are discussed. Superfunctions significantly extend the set of functions, that can be used in scientific research and technical design. Generators of figures are loaded to http://mizugadro.mydns.jp/BOOK for the free downloading. With these generators, the Readers can reproduce (and modify) the figures from the Book. The Book is intended to be applied and popular. I try to avoid the complicated formulas, but some knowledge of the complex arithmetics and the Cauchy integral should help.
Maison d'édition:
LAP LAMBERT Academic Publishing
Site Web:
https://www.lap-publishing.com/
de (auteur) :
Dmitrii Kouznetsov
Numéro de pages:
328
Publié le:
28-07-2020
Stock:
Disponible
Catégorie:
Mathématiques
Prix:
52.90 €
Mots-clés:
mathematics, Holomorphic functions, Superfunctions, Abelfunctions, non-integer iterates, Tetration, Pentation, Ackermann functions

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