Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation

• Published in: Український математичний журнал
• Date: 2011
• Main Author: Нооshmаnd, M.H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166346
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation / М.Н. Нооshmаnd // Український математичний журнал. — 2011. — Т. 63, № 2. — С. 281–288. — Бібліогр.: 5 назв. — англ.

We propose generalized forms of ultraexponential and infralogarithm functions introduced and studied by the author earlier and present two classes of special functions, namely, ultraexponential and infralogarithm f-type functions. As a result of present investigation, we obtain general solution of t...