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Published by LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202672862 ISBN 13: 9786202672863
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Published by LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202672862 ISBN 13: 9786202672863
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Published by LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202672862 ISBN 13: 9786202672863
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Published by LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202672862 ISBN 13: 9786202672863
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Published by LAP LAMBERT Academic Publishing, 2020
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Taschenbuch. Condition: Neu. Superfunctions | Non-integer iterates of holomorphic functions. Tetration and other superfunctions. Formulas,algorithms,tables,graphics | Dmitrii Kouznetsov | Taschenbuch | Englisch | 2020 | LAP LAMBERT Academic Publishing | EAN 9786202672863 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.
Language: English
Published by LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202672862 ISBN 13: 9786202672863
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 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.